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Resilient Time-Varying Formation-Tracking of Multi-UAV Systems Against Composite Attacks: A Two-Layered Framework 被引量:2
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作者 Xin Gong Michael V.Basin +2 位作者 Zhiguang Feng Tingwen Huang Yukang Cui 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2023年第4期969-984,共16页
This paper studies the countermeasure design problems of distributed resilient time-varying formation-tracking control for multi-UAV systems with single-way communications against composite attacks,including denial-of... This paper studies the countermeasure design problems of distributed resilient time-varying formation-tracking control for multi-UAV systems with single-way communications against composite attacks,including denial-of-services(DoS)attacks,false-data injection attacks,camouflage attacks,and actuation attacks(AAs).Inspired by the concept of digital twin,a new two-layered protocol equipped with a safe and private twin layer(TL)is proposed,which decouples the above problems into the defense scheme against DoS attacks on the TL and the defense scheme against AAs on the cyber-physical layer.First,a topologyrepairing strategy against frequency-constrained DoS attacks is implemented via a Zeno-free event-triggered estimation scheme,which saves communication resources considerably.The upper bound of the reaction time needed to launch the repaired topology after the occurrence of DoS attacks is calculated.Second,a decentralized adaptive and chattering-relief controller against potentially unbounded AAs is designed.Moreover,this novel adaptive controller can achieve uniformly ultimately bounded convergence,whose error bound can be given explicitly.The practicability and validity of this new two-layered protocol are shown via a simulation example and a UAV swarm experiment equipped with both Ultra-WideBand and WiFi communication channels. 展开更多
关键词 composite attacks multi-UAV systems resilient control time-varying formation-tracking
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Optimization of the Gas Generator in Composite Power System with Tip-Jet Rotor
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作者 Jianxiang Tang Yifei Wu +1 位作者 Yun Wang Jinwu Wu 《Journal of Power and Energy Engineering》 2024年第3期60-74,共15页
The key and bottleneck of research on the tip-jet rotor compound helicopter lies in the power system. Computational Fluid Dynamics (CFD) was used to numerically simulate the gas generator and rotor inner passage of th... The key and bottleneck of research on the tip-jet rotor compound helicopter lies in the power system. Computational Fluid Dynamics (CFD) was used to numerically simulate the gas generator and rotor inner passage of the tip-jet rotor composite power system, studying the effects of intake mode, inner cavity structure, propellant components, and injection amount on the characteristics of the composite power system. The results show that when a single high-temperature exhaust gas enters, the gas generator outlet fluid is uneven and asymmetric;when two-way high-temperature exhaust gas enters, the outlet temperature of the gas generator with a tilted inlet is more uniform than that with a vertical inlet;adding an inner cavity improves the temperature and velocity distribution of the gas generator's internal flow field;increasing the energy of the propellant is beneficial for improving the available moment. 展开更多
关键词 Tip-Jet Driven Rotor composite Power system Gas Generator Optimization Hydrogen Peroxide Aerodynamic Characteristics Numerical Simulation
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Group Hybrid Coordination Control of Multi-Agent Systems With Time-Delays and Additive Noises
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作者 Chuanjian Li Xiaofeng Zong 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2023年第3期737-748,共12页
A new kind of group coordination control problemgroup hybrid coordination control is investigated in this paper.The group hybrid coordination control means that in a whole multi-agent system(MAS)that consists of two s... A new kind of group coordination control problemgroup hybrid coordination control is investigated in this paper.The group hybrid coordination control means that in a whole multi-agent system(MAS)that consists of two subgroups with communications between them,agents in the two subgroups achieve consensus and containment,respectively.For MASs with both time-delays and additive noises,two group control protocols are proposed to solve this problem for the containment-oriented case and consensus-oriented case,respectively.By developing a new analysis idea,some sufficient conditions and necessary conditions related to the communication intensity betw een the two subgroups are obtained for the following two types of group hybrid coordination behavior:1)Agents in one subgroup and in another subgroup achieve weak consensus and containment,respectively;2)Agents in one subgroup and in another subgroup achieve strong consensus and containment,respectively.It is revealed that the decay of the communication impact betw een the two subgroups is necessary for the consensus-oriented case.Finally,the validity of the group control results is verified by several simulation examples. 展开更多
关键词 Additive noises consensus control containment control group hybrid coordination control multi-agent systems(MASs) time-delayS
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A Composite State Convergence Scheme for Bilateral Teleoperation Systems 被引量:1
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作者 Muhammad Usman Asad Umar Farooq +3 位作者 Jason Gu Ghulam Abbas Rong Liu Valentina E.Balas 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2019年第5期1166-1178,共13页
State convergence is a novel control algorithm for bilateral teleoperation of robotic systems. First, it models the teleoperation system on state space and considers all the possible interactions between the master an... State convergence is a novel control algorithm for bilateral teleoperation of robotic systems. First, it models the teleoperation system on state space and considers all the possible interactions between the master and slave systems. Second, it presents an elegant design procedure which requires a set of equations to be solved in order to compute the control gains of the bilateral loop. These design conditions are obtained by turning the master-slave error into an autonomous system and imposing the desired dynamic behavior of the teleoperation system. Resultantly, the convergence of master and slave states is achieved in a well-defined manner. The present study aims at achieving a similar convergence behavior offered by state convergence controller while reducing the number of variables sent across the communication channel. The proposal suggests transmitting composite master and slave variables instead of full master and slave states while keeping the operator's force channel intact. We show that,with these composite and force variables;it is indeed possible to achieve the convergence of states in a desired way by strictly following the method of state convergence. The proposal leads to a reduced complexity state convergence algorithm which is termed as composite state convergence controller. In order to validate the proposed scheme in the absence and presence of communication time delays, MATLAB simulations and semi-real time experiments are performed on a single degree-of-freedom teleoperation system. 展开更多
关键词 composite VARIABLES linear control systems STATE CONVERGENCE TELEOPERATION time delay
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The Controllability, Observability, and Stability Analysis of a Class of Composite Systems with Fractional Degree Generalized Frequency Variables 被引量:2
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作者 Cuihong Wang Yafei Zhao YangQuan Chen 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2019年第3期859-864,共6页
This paper is concerned with fundamental properties of a class of composite systems with fractional degree generalized frequency variables, including controllability, observability and stability. Firstly, some necessa... This paper is concerned with fundamental properties of a class of composite systems with fractional degree generalized frequency variables, including controllability, observability and stability. Firstly, some necessary and sufficient conditions are given to guarantee controllability and observability of such composite systems. Then we prove that the stability problem of such composite systems can be reduced to judging whether a fractional degree polynomial is stable. Finally, the stability analysis result is applied in the supervisory control of fractional-order multi-agent systems, and an example is provided to illustrate the effectiveness of the proposed methods. 展开更多
关键词 composite system CONTROLLABILITY fractionalorder system OBSERVABILITY stability
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Research on development of in situ titanium matrix composites and in situ reaction thermodynamics of the reaction systems 被引量:3
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作者 Lifang Cai Yongzhong Zhang Likai Shi Haoqiang Yang Mingzhe Xi 《Journal of University of Science and Technology Beijing》 CSCD 2006年第6期551-557,共7页
The in situ synthesis method for titanium matrix composites (TMCs) has obvious technical and economical advantages over other traditional methods. Ultrafine reinforcement particles were formed in situ by chemical re... The in situ synthesis method for titanium matrix composites (TMCs) has obvious technical and economical advantages over other traditional methods. Ultrafine reinforcement particles were formed in situ by chemical reaction between elements or between elements and compounds. Using the approach, contamination at the composite matrix/reinforcement particle interface did not occur, interface bonding was good, and the reinforcement particle was thermodynamically stable. The stage of development of the preparation process for in situ TMCs as well as the thermodynamic analysis of the possible in situ reaction systems was described. 展开更多
关键词 in situ titanium matrix composites reaction synthesis reaction system thermodynamic analysis
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Composite Metallogenic Systems in the Weihai Area of Shandong and Evolution of Continental Dynamic Regimes 被引量:1
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作者 SUN Zhongshi WANG Peifu +8 位作者 DENG Jun WANG Qingfei WANG Jianping MU Taisheng SUN Li FAN Siqi YE Songqing LIU Zhenghong CUI Shuxue 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2007年第2期312-321,共10页
Based on 9 sheets of 1:50,000-scale regional geological survey and guided by the theory of metallogenic systems and integrated analyses of the structural and metallogenic features, this paper hereby puts forward the ... Based on 9 sheets of 1:50,000-scale regional geological survey and guided by the theory of metallogenic systems and integrated analyses of the structural and metallogenic features, this paper hereby puts forward the composite metallogenic systems of the Weihai area, Shandong Province, aiming at solving the problems on the origins and ore-controlling structures of the numerous deposits in the area. Its scientific significance is reflected in the following three aspects: (1) The basic features of the composite metallogenic systems can be recognized, which consist of two types: the Proterozoic metamorphic-hydrothermal metallogenic system and the Mesozoic magmatic-hydrothermal metallogenic system (i.e. the Indosinian-early Yanshanian contact metasomatic metallogenic series and the mid-late Yanshanian magmatic-hydrothermal metallogenic series). The two series display arcuate and NW-right lateral arrangements and a N-S parallel zonal distribution respectively, with the corresponding mineral assemblages being Au+Ag+Pb+Zn, etc.; and Cu+Mo+Fe, Au+Ag+Cu+Pb- Zn+Mo+Co-Ni+sulfides+silicides+K-feldspar, etc. (2) The composite metallogenic systems may be used to interpret the complicated genetic relations of the deposits. Through analyses of the relations between the three main metallogenic intervals and their corresponding source rock series (the Jingshan and Rongcheng groups; the Wendong super-unit and the early-middle Yanshanian Weideshan super-unit; and the mid-late Yanshanian Weideshan and Laoshan super-units) as well as a case study of the Fanjiabu gold deposit, we have distinguished the consanguinity between the contact metasomatic (skarn-type) metallogenic series and the magmatic-hydrothermal metallogenic series as well as the noncognate superposition between the two and the metamorphic-hydrothermal metallogenic system. (3) The composite metallogenic systems are easily related to the evolution of continental dynamic regimes. The formation of the metamorphic-hydrothermal metallogenic system has undergone transformations of three different types of tectono-dynamic regimes from extension→compression→ shearing; that of the contact metasomatic (skarn-type) metallogenic system from compression→extension→compression; and that of the magmatic-hydrothermal metallogenic system from extension →subductive compression of the Pacific Plate. The evolutions of the three types are all attributed to the opening-closing or divergence-convergence of the paleocontinent, and all their mineralization corresponds to the interval of transformation from the end of convergence to early integration of the Weihai paleocontinent. All these will benefit our deeper study of the dynamics of continental metallogenic processes. 展开更多
关键词 composite metallogenic system continental dynamic regime Weihai Shandong Province
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Composite nonlinear feedback control for output regulation problem of linear discrete-time systems with input saturation 被引量:2
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作者 Chongwen Wang Xing Chu Weiyao Lan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第6期1043-1055,共13页
Transient performance for output regulation problems of linear discrete-time systems with input saturation is addressed by using the composite nonlinear feedback(CNF) control technique. The regulator is designed to ... Transient performance for output regulation problems of linear discrete-time systems with input saturation is addressed by using the composite nonlinear feedback(CNF) control technique. The regulator is designed to be an additive combination of a linear regulator part and a nonlinear feedback part. The linear regulator part solves the regulation problem independently which produces a quick output response but large oscillations. The nonlinear feedback part with well-tuned parameters is introduced to improve the transient performance by smoothing the oscillatory convergence. It is shown that the introduction of the nonlinear feedback part does not change the solvability conditions of the linear discrete-time output regulation problem. The effectiveness of transient improvement is illustrated by a numeric example. 展开更多
关键词 output regulation composite nonlinear feedback in-put saturation transient performance discrete-time system
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Collective composite-rotating consensus of multi-agent systems
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作者 林鹏 卢婉婷 宋永端 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第4期178-182,共5页
This paper investigates a distributed composite-rotating consensus problem of second-order multi-agent systems, where all agents move in a nested circular orbit. A distributed control law is proposed which contains tw... This paper investigates a distributed composite-rotating consensus problem of second-order multi-agent systems, where all agents move in a nested circular orbit. A distributed control law is proposed which contains two parts: the local state feedback that guarantees the circular motion and the distributed relative state feedback that guarantees the consensus of all agents. A sufficient condition is derived to drive all agents as well as ensure their circle centers make circular motion in a distributed manner. Finally, a numerical simulation is included to demonstrate our theoretical results. 展开更多
关键词 composite-rotating consensus second-order dynamics complex systems
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AN EFFICIENT PARALLEL PROCESSING OPTIMAL CONTROL SCHEME FOR A CLASS OF NONLINEAR COMPOSITE SYSTEMS
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作者 A. JAJARMT M. HAJIPOUR 《Acta Mathematica Scientia》 SCIE CSCD 2017年第3期703-721,共19页
This article presents an efficient parallel processing approach for solving the opti- mal control problem of nonlinear composite systems. In this approach, the original high-order coupled nonlinear two-point boundary ... This article presents an efficient parallel processing approach for solving the opti- mal control problem of nonlinear composite systems. In this approach, the original high-order coupled nonlinear two-point boundary value problem (TPBVP) derived from the Pontrya- gin's maximum principle is first transformed into a sequence of lower-order deeoupled linear time-invariant TPBVPs. Then, an optimal control law which consists of both feedback and forward terms is achieved by using the modal series method for the derived sequence. The feedback term specified by local states of each subsystem is determined by solving a ma- trix Riccati differential equation. The forward term for each subsystem derived from its local information is an infinite sum of adjoint vectors. The convergence analysis and parallel processing capability of the proposed approach are also provided. To achieve an accurate feedforward-feedbaek suboptimal control, we apply a fast iterative algorithm with low com- putational effort. Finally, some comparative results are included to illustrate the effectiveness of the proposed approach. 展开更多
关键词 Modal series method nonlinear composite system optimal control PARALLELPROCESSING
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Mean-square composite-rotating consensus of second-order systems with communication noises
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作者 Li-po Mo Shao-yan Guo Yong-guang Yu 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第7期242-247,共6页
We study the mean-square composite-rotating consensus problem of second-order multi-agent systems with communication noises, where all agents rotate around a common center and the center of rotation spins around a fix... We study the mean-square composite-rotating consensus problem of second-order multi-agent systems with communication noises, where all agents rotate around a common center and the center of rotation spins around a fixed point simultaneously. Firstly, a time-varying consensus gain is introduced to attenuate to the effect of communication noises. Secondly, sufficient conditions are obtained for achieving the mean-square composite-rotating consensus. Finally, simulations are provided to demonstrate the effectiveness of the proposed algorithm. 展开更多
关键词 multi-agent systems mean-square consensus composite-rotating communication noises
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Output regulation of singular linear systems with input saturation by composite nonlinear feedback control
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作者 LIN Xiaoyan CHEN Lingmei +1 位作者 LIN Dongyun LAN Weiyao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第4期834-843,共10页
Composite nonlinear feedback (CNF) control techniquefor tracking control problems is extended to the output regulationproblem of singular linear systems with input saturation. A statefeedback CNF control law and an ... Composite nonlinear feedback (CNF) control techniquefor tracking control problems is extended to the output regulationproblem of singular linear systems with input saturation. A statefeedback CNF control law and an output feedback CNF controllaw are constructed respectively for the output regulation problemof singular linear systems with input saturation. It is shown thatthe output regulation problem by CNF control is solvable underthe same solvability conditions of the output regulation problemby linear control. However, with the virtue of the CNF control, thetransient performance of the closed-loop system can be improvedby carefully designing the linear part and the nonlinear part of theCNF control law. The design procedure and the improvement ofthe transient performance of the closed-loop system are illustratedwith a numerical simulation. 展开更多
关键词 singular linear system input saturation output regula-tion composite nonlinear feedback
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Novel Stability Criteria for Linear Time-Delay Systems Using Lyapunov-Krasovskii Functionals With A Cubic Polynomial on Time-Varying Delay 被引量:9
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作者 Xian-Ming Zhang Qing-Long Han Xiaohua Ge 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2021年第1期77-85,共9页
One of challenging issues on stability analysis of time-delay systems is how to obtain a stability criterion from a matrix-valued polynomial on a time-varying delay.The first contribution of this paper is to establish... One of challenging issues on stability analysis of time-delay systems is how to obtain a stability criterion from a matrix-valued polynomial on a time-varying delay.The first contribution of this paper is to establish a necessary and sufficient condition on a matrix-valued polynomial inequality over a certain closed interval.The degree of such a matrix-valued polynomial can be an arbitrary finite positive integer.The second contribution of this paper is to introduce a novel LyapunovKrasovskii functional,which includes a cubic polynomial on a time-varying delay,in stability analysis of time-delay systems.Based on the novel Lyapunov-Krasovskii functional and the necessary and sufficient condition on matrix-valued polynomial inequalities,two stability criteria are derived for two cases of the time-varying delay.A well-studied numerical example is given to show that the proposed stability criteria are of less conservativeness than some existing ones. 展开更多
关键词 Bessel-Legendre inequality matrix-valued polynomial inequalities stability time-varying delay time-delay systems
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Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty 被引量:8
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作者 Wo Songlin Shi Guodong Zou Yun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第1期111-119,共9页
The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadra... The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadratic cost performance function. The problem that is addressed in this study is to design a decentralized robust guaranteed cost state feedback controller such that the closed-loop system is not only regular, impulse-free and stable, but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of the decentralized robust guaranteed cost state feedback controllers is proposed in terms of a linear matrix inequality (LMI) via LMI approach. When this condition is feasible, the desired state feedback decentralized robust guaranteed cost controller gain matrices can be obtained. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach. 展开更多
关键词 Uncertain singular large-scale systems time-delay system Guaranteed cost control LMI
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An Improved Approach to Delay-dependent Robust Stabilization for Uncertain Singular Time-delay Systems 被引量:7
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作者 Xin Sun Qing-Ling Zhang +2 位作者 Chun-Yu Yang Zhan Su Yong-Yun Shao 《International Journal of Automation and computing》 EI 2010年第2期205-212,共8页
In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissi... In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissibility for singular time-delay systems is proposed in terms of linear matrix inequality (LMI). Our new proposed criterion is less conservative and the numerical complexity is smaller than the existing ones. Based on this criterion, a state feedback controller is designed to ensure that the uncertain singular time-delay system is admissible. Finally, three numerical examples are employed to illustrate the effectiveness of the proposed method. 展开更多
关键词 DELAY-DEPENDENT singular time-delay systems ADMISSIBLE robust stabilization.
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Adaptive Fuzzy Observer Backstepping Control for a Class of Uncertain Nonlinear Systems with Unknown Time-delay 被引量:7
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作者 Shao-Cheng Tong Ning Sheng 《International Journal of Automation and computing》 EI 2010年第2期236-246,共11页
In this paper, a new adaptive fuzzy backstepping control approach is developed for a class of nonlinear systems with unknown time-delay and unmeasured states. Using fuzzy logic systems to approximate the unknown nonli... In this paper, a new adaptive fuzzy backstepping control approach is developed for a class of nonlinear systems with unknown time-delay and unmeasured states. Using fuzzy logic systems to approximate the unknown nonlinear functions, a fuzzy state observer is designed for estimating the unmeasured states. On the basis of the state observer and applying the backstepping technique, an adaptive fuzzy observer control approach is developed. The main features of the proposed adaptive fuzzy control approach not only guarantees that all the signals of the closed-loop system are semiglobally uniformly ultimately bounded, but also contain less adaptation parameters to be updated on-line. Finally, simulation results are provided to show the effectiveness of the proposed approach. 展开更多
关键词 Fuzzy logic systems nonlinear time-delay systems adaptive backstepping control state observer stability analysis.
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Non-fragile observer-based passive control for descriptor systems with time-delay 被引量:4
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作者 Qin LI Qingling ZHANG Jichun WANG 《控制理论与应用(英文版)》 EI 2009年第3期237-242,共6页
This paper investigates the problem of non-fragile observer-based passive control for descriptor systems with time-delay. The perturbations in both the control gain and observer gain of the observer-based controller a... This paper investigates the problem of non-fragile observer-based passive control for descriptor systems with time-delay. The perturbations in both the control gain and observer gain of the observer-based controller are considered. For the cases of the additive perturbations and multiplicative perturbations, sufficient conditions are given such that the closed-loop systems are admissible and passive with dissipation η. The observer-based controller gains could be obtained from the solutions of linear matrix inequalities (LMIs). Moreover, the maximum dissipation of the system is provided. Simulation examples are given to show the effectiveness of the deign methods. 展开更多
关键词 Descriptor systems time-delay systems PASSIVITY DISSIPATION Non-fragile control OBSERVER Linearmatrix inequality (LMI)
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Observer-based robust predictive control of singular systems with time-delay and parameter uncertainties 被引量:4
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作者 Liu Xiaohua Yang Yuanhua 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第3期590-597,共8页
The problem of observer-based robust predictive control is studied for the singular systems with norm-bounded uncertainties and time-delay, and the design method of robust predictive observer-based controller is propo... The problem of observer-based robust predictive control is studied for the singular systems with norm-bounded uncertainties and time-delay, and the design method of robust predictive observer-based controller is proposed. By constructing the Lyapunov function with the error terms, the infinite time domain "min-max" optimization problems are converted into convex optimization problems solving by the linear matrix inequality (LMI), and the sufficient conditions for the existence of this control are derived. It is proved that the robust stability of the closed-loop singular systems can be guaranteed by the initial feasible solutions of the optimization problems, and the regular and the impulse-free of the singular systems are also guaranteed. A simulation example illustrates the efficiency of this method. 展开更多
关键词 predictive control singular systems linear matrix inequality state observer time-delay UNCERTAINTY
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Robust adaptive control for interval time-delay systems 被引量:4
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作者 Yizhong WANG Huaguang ZHANG Jun YANG 《控制理论与应用(英文版)》 EI 2006年第4期367-371,共5页
This paper focuses on the robust adaptive control problems for a class of interval time-delay systems and a class of large-scale interconnected systems. The nonlinear uncertainties of the systems under study are bound... This paper focuses on the robust adaptive control problems for a class of interval time-delay systems and a class of large-scale interconnected systems. The nonlinear uncertainties of the systems under study are bounded by high- order polynomial functions with unknown gains. Firstly, the adaptive feedback controller which can guarantee the stability of the closed-loop system in the sense of uniform ultimate boundedness is proposed. Then the proposed adaptive idea is extended to robust stabilizing designing method for a class of large-scale interconnected systems. Here, another problem we address is to design a decentralized feedback adaptive controller such that the closed-loop system is stable in the sense of uniform ultimate boundedness for all admissible uncertainties and time-delay. Finally, an illustrative example is given to show the validity of the proposed approach. 展开更多
关键词 Adaptive control time-delay Interconnected systems Uniformly ultimately bounded
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On Delay-independent Stability Criteria for Linear Time-delay Systems 被引量:4
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作者 Ai-Guo Wu Guang-Ren Duan 《International Journal of Automation and computing》 EI 2007年第1期95-100,共6页
Several LMI representations for delay-independence stability are proposed by applying Projection Lemma and the socalled "Small Scalar Method". These criteria realize the elimination of the products coupling the syst... Several LMI representations for delay-independence stability are proposed by applying Projection Lemma and the socalled "Small Scalar Method". These criteria realize the elimination of the products coupling the system matrices and Lyapunov matrices by introducing some additional matrices. When they are applied to robust stability analysis for polytopic uncertain systems, the vertex-dependent Lyapunov functions are allowed, so less conservative results can be obtained. A numerical example is employed to illustrate the effect of these proposed criteria. 展开更多
关键词 Linear time-delay systems DELAY-INDEPENDENT Small Scalar Method conservativeness.
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