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Exponential stabilization of distributed parameter switched systems under dwell time constraints
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作者 鲍乐平 费树岷 翟军勇 《Journal of Southeast University(English Edition)》 EI CAS 2013年第4期389-394,共6页
The exponential stabilization problem for finite dimensional switched systems is extended to the infinite dimensional distributed parameter systems in the Hilbert space. Based on the semigroup theory, by applying the ... The exponential stabilization problem for finite dimensional switched systems is extended to the infinite dimensional distributed parameter systems in the Hilbert space. Based on the semigroup theory, by applying the multiple Lyapunov function method, the exponential stabilization conditions are derived. These conditions are given in the form of linear operator inequalities where the decision variables are operators in the Hilbert space; while the stabilization properties depend on the switching rule. Being applied to the two-dimensional heat switched propagation equations with the Dirichlet boundary conditions, these linear operator inequalities are transformed into standard linear matrix inequalities. Finally, two examples are given to illustrate the effectiveness of the proposed results. 展开更多
关键词 distributed parameter switched systems exponential stabilization multiple Lyapunov function linear operator inequalities dwell time
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Global stabilization of linear periodically time-varying switched systems via matrix inequalities 被引量:4
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作者 Phat VU N. Satiracoo PAIROTE 《控制理论与应用(英文版)》 EI 2006年第1期26-31,共6页
In this paper, we address the stabilization problem for linear periodically time-varying switched systems. Using discretization technique, we derive new conditions for the global stabilizability in terms of the soluti... In this paper, we address the stabilization problem for linear periodically time-varying switched systems. Using discretization technique, we derive new conditions for the global stabilizability in terms of the solution of matrix inequalities. An algorithm for finding stabilizing controller and switching strategy is presented. 展开更多
关键词 STABILIZATION Periodic system Lyapunov functional switched system Matrix inequality
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A switched system approach to stabilization of networked control systems 被引量:4
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作者 Mei YU Long WANG Guangming XIE 《控制理论与应用(英文版)》 EI 2006年第1期86-95,共10页
A switched system approach is proposed to model networked control systems (NCSs) with communication constraints. This enables us to apply the rich theory of switched systems to analyzing such NCSs. Sufficient condit... A switched system approach is proposed to model networked control systems (NCSs) with communication constraints. This enables us to apply the rich theory of switched systems to analyzing such NCSs. Sufficient conditions are presented on the stabilization of NCSs. Stabilizing state/output feedback controllers can be constructed by using the feasible solutions of some linear matrix inequalities (LMIs). The merit of our proposed approach is that the behavior of the NCSs can be studied by considering switched system without augmenting the system. A simulation example is worked out to illustrate the effectiveness of the proposed approach. 展开更多
关键词 Networked control systems switched systems STABILIZATION LMIS Limited bandwidth TIME-DELAYS
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Control of switched systems with actuator saturation 被引量:5
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作者 Yang SONG Zhengrong XIANG Qingwei CHEN Weili HU 《控制理论与应用(英文版)》 EI 2006年第1期38-43,共6页
This paper is concerned with controller synthesis for linear switched systems with actuator saturation. Based on common Lyapunov function technique and multiple-Lyapunov function technique, two methods for designing s... This paper is concerned with controller synthesis for linear switched systems with actuator saturation. Based on common Lyapunov function technique and multiple-Lyapunov function technique, two methods for designing state feedback controller are proposed respectively in terms of linear matrix inequalities for the switched systems with saturation. An approach on enlarging the attractive domain is then investigated, The application of the presented approach is illustrated finally by a numerical example. 展开更多
关键词 Saturating control switched systems Common Lyapunov function Multiple Lyapunov functions
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Observer-based robust H-infinity control for uncertain switched systems 被引量:3
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作者 Zhengyi SONG Jun ZHAO 《控制理论与应用(英文版)》 EI 2007年第3期278-284,共7页
The problem of observer-based robust H-infinity control is addressed for a class of linear discrete-time switched systems with time-varying norm-bounded uncertainties by using switched Lyapunov function method. None o... The problem of observer-based robust H-infinity control is addressed for a class of linear discrete-time switched systems with time-varying norm-bounded uncertainties by using switched Lyapunov function method. None of the individual subsystems is assumed to be robustly H-infinity solvable. A novel switched Lypunov function matrix with diagonal-block form is devised to overcome the difficulties in designing switching laws. For robust H-infinity stability analysis, two linear-matrix-inequality-based sufficient conditions are derived by only using the smallest region function strategy if some parameters are preselected. Then, the robust H-infinity control synthesis is studied using a switching state feedback and an observer-based switching dynamical output feedback. All the switching laws are simultaneously constructively designed. Finally, a simulation example is given to illustrate the validity of the results. 展开更多
关键词 Linear discrete-time switched system Robust H-infinity control switched Lyapunov function Linear matrix inequality (LMI)
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Guaranteed cost control with constructing switching law of uncertain discrete-time switched systems 被引量:3
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作者 Zhang Ying Duan Guangren 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第4期846-851,共6页
A guaranteed cost control problem for a class of linear discrete-time switched systems with norm-bounded uncertainties is considered in this article. The purpose is to construct a switching rule and design a state fee... A guaranteed cost control problem for a class of linear discrete-time switched systems with norm-bounded uncertainties is considered in this article. The purpose is to construct a switching rule and design a state feedback control law, such that, the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties under the constructed switching rule. A sufficient condition for the existence of guaranteed cost controllers and switching rules is derived based on the Lyapunov theory together with the linear matrix inequality (LMI) approach. Furthermore, a convex optimization problem with LMI constraints is formulated to select the suboptimal guaranteed cost controller. A numerical example demonstrates the validity of the proposed design approach. 展开更多
关键词 switched systems guaranteed cost control LMI
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Delay-dependent robust H∞ control for a class of uncertain switched systems with time delay 被引量:3
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作者 师佳 吴铁军 杜树新 《Journal of Zhejiang University Science》 EI CSCD 2004年第7期841-850,共10页
For linear switched system with both parameter uncertainties and time delay, a delay-dependent sufficient condition for the existence of a new robust H∞ feedback controller was formulated in nonlinear matrix inequali... For linear switched system with both parameter uncertainties and time delay, a delay-dependent sufficient condition for the existence of a new robust H∞ feedback controller was formulated in nonlinear matrix inequalities solvable by an LMI-based iterative algorithm. Compared with the conventional state-feedback controller, the proposed controller can achieve better robust control performance since the delayed state is utilized as additional feedback information and the parameters of the proposed controllers are changed synchronously with the dynamical characteristic of the system. This design method was also extended to the case where only delayed state is available for the controller. The example of balancing an inverted pendulum on a cart demonstrates the effectiveness and applicability of the proposed design methods. 展开更多
关键词 Linear switched systems Robust H∞ control Matrix inequality Time delay
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Distributed H2/H∞ Filter Design for Discrete-Time Switched Systems 被引量:5
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作者 Nezar M.Alyazidi Magdi S.Mahmoud 《IEEE/CAA Journal of Automatica Sinica》 EI CSCD 2020年第1期158-168,共11页
This paper addresses an infinite horizon distributed H2/H∞ filtering for discrete-time systems under conditions of bounded power and white stochastic signals. The filter algorithm is designed by computing a pair of g... This paper addresses an infinite horizon distributed H2/H∞ filtering for discrete-time systems under conditions of bounded power and white stochastic signals. The filter algorithm is designed by computing a pair of gains namely the estimator and the coupling. Herein, we implement a filter to estimate unknown parameters such that the closed-loop multi-sensor accomplishes the desired performances of the proposed H2 and H∞ schemes over a finite horizon. A switched strategy is implemented to switch between the states once the operation conditions have changed due to disturbances. It is shown that the stability of the overall filtering-error system with H2/H∞ performance can be established if a piecewise-quadratic Lyapunov function is properly constructed. A simulation example is given to show the effectiveness of the proposed approach. 展开更多
关键词 Bounded power stochastic disturbance discretetime systems H2/H∞ filtering infinite horizon MULTI-SENSOR switched systems
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Design and FPGA implementation of multi-wing chaotic switched systems based on a quadratic transformation 被引量:2
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作者 Qing-Yu Shi Xia Huang +1 位作者 Fang Yuan Yu-Xia Li 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第2期240-249,共10页
Based on a quadratic transformation and a switching function,a novel multi-wing chaotic switched system is proposed.First,a 4-wing chaotic system is constructed from a 2-wing chaotic system on the basis of a quadratic... Based on a quadratic transformation and a switching function,a novel multi-wing chaotic switched system is proposed.First,a 4-wing chaotic system is constructed from a 2-wing chaotic system on the basis of a quadratic transformation.Then,a switching function is designed and by adjusting the switching function,the number and the distribution of the saddle-focus equilibrium points of the switched system can be regulated.Thus,a set of chaotic switched systems,which can produce 6-to-8-12-16-wing attractors,are generated.The Lyapunov exponent spectra,bifurcation diagrams,and Poincarémaps are given to verify the existence of the chaotic attractors.Besides,the digital circuit of the multi-wing chaotic switched system is designed by using the Verilog HDL fixed-point algorithm and the state machine control.Finally,the multi-wing chaotic attractors are demonstrated via FPGA platform.The experimental results show that the number of the wings of the chaotic attractors can be expanded more effectively with the combination of the quadratic transformation and the switching function methods. 展开更多
关键词 quadratic transformation chaotic switched system FPGA
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Iterative Learning Control for a Class of Linear Continuous-time Switched Systems with Fixed Initial Shifts 被引量:2
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作者 xu guang-zhao fu qin +3 位作者 du li-li wu jian-rong yu peng-fei li yong 《Communications in Mathematical Research》 CSCD 2018年第4期309-328,共20页
This paper deals with the problem of iterative learning control for a class of linear continuous-time switched systems in the presence of a fixed initial shift. Here, the considered switched systems are operated durin... This paper deals with the problem of iterative learning control for a class of linear continuous-time switched systems in the presence of a fixed initial shift. Here, the considered switched systems are operated during a finite time interval repetitively. According to the characteristics of the systems, a PD-type learning scheme is proposed for such switched systems with arbitrary switching rules, and the corresponding output limiting trajectories under the action of the PD-type learning scheme are given. Based on the contraction mapping method, it is shown that this scheme can guarantee the outputs of the systems converge uniformly to the output limiting trajectories of the systems over the whole time interval. Furthermore, the initial rectifying strategies are applied to the systems for eliminating the effect of the fixed initial shift. When the learning scheme is applied to the systems, the outputs of the systems can converge to the desired reference trajectories over a pre-specified interval. Finally, simulation examples illustrate the effectiveness of the proposed method. 展开更多
关键词 iterative learning control switched system PD-type learning scheme fixed initial shift output limiting trajectory
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Stabilization of a class of discrete-time switched systems via observer-based output feedback 被引量:1
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作者 Jiao LI Yuzhong LIU 《控制理论与应用(英文版)》 EI 2007年第3期307-311,共5页
In this paper, observer-based static output feedback control problem for discrete-time uncertain switched systems is investigated under an arbitrary switching rule. The main method used in this note is combining switc... In this paper, observer-based static output feedback control problem for discrete-time uncertain switched systems is investigated under an arbitrary switching rule. The main method used in this note is combining switched Lyapunov function (SLF) method with Finsler's Lemma. Based on linear matrix inequality (LMI) a less conservative stability condition is established and this condition allows extra degree of freedom for stability analysis. Finally, a simulation example is given to illustrate the efficiency of the result. 展开更多
关键词 Discrete-time switched systems STABILIZATION UNCERTAINTY Output feedback switched Lyapunov function (SLF) Linear matrix inequality (LMI)
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H_∞ Control Based on LMIs for a Class of Time-delay Switched Systems 被引量:2
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作者 李春明 田学民 《Journal of Measurement Science and Instrumentation》 CAS 2010年第3期293-296,共4页
The problem of H∞ stability analysis and control synthesis of switched systems with delayed states under arb/trary switchirg laws is considered. By means of Lyapunov function and linear matrix inequality tools, suffi... The problem of H∞ stability analysis and control synthesis of switched systems with delayed states under arb/trary switchirg laws is considered. By means of Lyapunov function and linear matrix inequality tools, sufficient ctmdition of H∞ stability is presented in terms of linear matrix inequalities. Furthermore, the robust H∞ control synthesis via state feedback and output feedack is studied. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method. 展开更多
关键词 time-delay switched systems H∞ perfomance Lyapunov function linear matrix inequality
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Optimization problems for switched systems with impulsive control 被引量:1
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作者 JunhaoHU HuayouWANG +1 位作者 XinzhiLIU BmLIU 《控制理论与应用(英文版)》 EI 2005年第1期93-100,共8页
By using Impulsive Maximum Principal and three stage optimization method,this paper discusses optimization problems for linear impulsive switched systems with hybridcontrols, which includes continuous control and impu... By using Impulsive Maximum Principal and three stage optimization method,this paper discusses optimization problems for linear impulsive switched systems with hybridcontrols, which includes continuous control and impulsive control. The linear quadratic optimizationproblems without constraints such as optimal hybrid control, optimal stability and optimalswitching instants are addressed in detail. These results are applicable to optimal control problemsin economics,mechanics, and management. 展开更多
关键词 impulsive control switched systems OPTIMIZATION linear quadratic maximumprincipal
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Global exponential stability of switched systems 被引量:1
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作者 V.FILIPOVIC 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第9期1197-1206,共10页
This paper proposes a method for the stability analysis of deterministic switched systems.Two motivational examples are introduced (nonholonomic system and constrained pendulum).The finite collection of models consi... This paper proposes a method for the stability analysis of deterministic switched systems.Two motivational examples are introduced (nonholonomic system and constrained pendulum).The finite collection of models consists of nonlinear models,and a switching sequence is arbitrary.It is supposed that there is no jump in the state at switching instants,and there is no Zeno behavior,i.e.,there is a finite number of switches on every bounded interval.For the analysis of deterministic switched systems,the multiple Lyapunov functions are used,and the global exponential stability is proved.The exponentially stable equilibrium of systems is relevant for practice because such systems are robust to perturbations. 展开更多
关键词 switched system multiple Lyapunov function global exponential stability
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Stabilization for a class of second-order switched systems with saturation constrains 被引量:1
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作者 宋杨 顾煜祺 费敏锐 《Journal of Shanghai University(English Edition)》 CAS 2009年第4期274-275,共2页
This paper proposes a global stabilization method for a class of planar switched systems with input saturation constrains by using a state feedback and switching strategy. This method is proved to be effective by anal... This paper proposes a global stabilization method for a class of planar switched systems with input saturation constrains by using a state feedback and switching strategy. This method is proved to be effective by analyzing the characteristics of the trajectory of second-order linear systems with input saturation. 展开更多
关键词 switched system input saturation STABILIZATION
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A notion of passivity for switched systems with state-dependent switching 被引量:1
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作者 Jun ZHAO David J. HILL 《控制理论与应用(英文版)》 EI 2006年第1期70-75,共6页
A passivity concept for switched systems with state-dependent switching is presented. Each subsystem has a storage function to describe the "energy" stored in the subsystem. The passivity property of a switched syst... A passivity concept for switched systems with state-dependent switching is presented. Each subsystem has a storage function to describe the "energy" stored in the subsystem. The passivity property of a switched system is given in terms of multiple storage functions. Each storage function is allowed to grow on the "switched on" time sequence but the total growth is bounded by a certain function. Stability is inferred from passivity and asymptotic stability is achieved under further assumptions of a detectivity property of a local form and boundedness of the total change of some storage function on its inactive intervals. A state-dependent switching law that renders the system passive is also designed. 展开更多
关键词 switched systems PASSIVITY STABILITY
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H_-/H_∞ fault detection filter design for interval time-varying delays switched systems 被引量:2
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作者 Jiawei Wang Yi Shen Zhenhua Wang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2016年第4期878-886,共9页
The problem of the robust fault detection filter design for time-varying delays switched systems is considered in the framework of mixed H-/H∞. Firstly, the weighted H∞ performance index is utilized as the robustnes... The problem of the robust fault detection filter design for time-varying delays switched systems is considered in the framework of mixed H-/H∞. Firstly, the weighted H∞ performance index is utilized as the robustness performance, and the H- index is used as the sensitivity performance for obtaining the robust fault detection filter. Then a novel multiple Lyapunov-Krasovskii function is proposed for deriving sufficient existence conditions of the robust fault detection filter based on the average dwell time technique. By introducing slack matrix variable, the coupling between the Lyapunov matrix and system matrix is removed, and the conservatism of results is reduced. Based on the robust fault detection filter, residual is generated and evaluated for detecting faults. In addition, the results of this paper are dependent on time delays,and represented in the form of linear matrix inequalities. Finally,the simulation example verifies the effectiveness of the proposed method. 展开更多
关键词 switched system average dwell time mixed H-/H∞ robust fault detection filter time-varying delay
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ADAPTIVE GENERALIZED PREDICTIVE CONTROL OFSWITCHED SYSTEMS
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作者 王一晶 王龙 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第5期647-653,共7页
The problem of adaptive generalized predictive control which consists of output prediction errors for a class of switched systems is studied.The switching law is determined by the output predictive errors of a finite ... The problem of adaptive generalized predictive control which consists of output prediction errors for a class of switched systems is studied.The switching law is determined by the output predictive errors of a finite number of subsystems.For the single subsystem and multiple subsystems cases,it is proved that the given direct algorithm of generalized predictive control guarantees the global convergence of the system.This algorithm overcomes the inherent drawbacks of the slow convergence and large transient errors for the conventional adaptive control. 展开更多
关键词 generalized predictive control switched system adaptive control global convergence
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Discrete sliding mode prediction control of uncertain switched systems
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作者 He Zhaolan Wang Mao Liu Shuhuan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第5期1065-1071,共7页
The robust stabilization problem for a class of uncertain discrete-time switched systems is presented. A predictive sliding mode control strategy is proposed, and a discrete-time reaching law is improved. By applying ... The robust stabilization problem for a class of uncertain discrete-time switched systems is presented. A predictive sliding mode control strategy is proposed, and a discrete-time reaching law is improved. By applying a predictive sliding surface and a reference trajectory, combining with the state feedback correction and rolling optimization method in the predictive control strategy, a predictive sliding mode controller is synthesized, which guarantees the asymptotic stability for the closed-loop systems. The designed control strategy has stronger robustness and chattering reduction property to conquer with the system uncertainties. In addition, a unique nonswitched sliding surface is designed. The reason is to avoid the repetitive jump of the trajectories of the state components of the closed-loop system between sliding surfaces because it might cause the possible instability. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory. 展开更多
关键词 switched system sliding mode control predictive control rolling optimization.
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An LMI-based variable structure control for a classof uncertain singular Markov switched systems
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作者 Lijun GAO Yuqiang WU 《控制理论与应用(英文版)》 EI 2007年第4期415-419,共5页
An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mo... An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mode dynamics on the given switching surface is regular, impulse-free, and stochastically stable and satisfies H-infinity performance. A variable structure controller is designed to guarantee that the system trajectory converges to the linear switching surface in some finite time. Finally, a numerical example is solved to show the effectiveness and validness of the theoretical results. 展开更多
关键词 Markov switched systems Variable structure LMI Switching surface
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