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LMI Approach to Exponential Stabilization of Distributed Parameter Control Systems with Delay 被引量:15
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作者 LUO Yi-Ping XIA Wen-Hua +1 位作者 LIU Guo-Rong DENG Fei-Qi 《自动化学报》 EI CSCD 北大核心 2009年第3期299-304,共6页
关键词 分布式系统 分布参数 自动化 控制系统
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Robust H_∞ control for aseismic structures with uncertainties in model parameters 被引量:2
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作者 宋刚 林家浩 +2 位作者 赵岩 W. Paul Howson Fred W Williams 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2007年第4期409-416,共8页
This paper presents a robust H∞ output feedback control approach for structural systems with uncertainties in model parameters by using available acceleration measurements and proposes conditions for the existence of... This paper presents a robust H∞ output feedback control approach for structural systems with uncertainties in model parameters by using available acceleration measurements and proposes conditions for the existence of such a robust output feedback controller. The uncertainties of structural stiffness, damping and mass parameters are assumed to be norm-bounded. The proposed control approach is formulated within the framework of linear matrix inequalities, for which existing convex optimization techniques, such as the LM1 toolbox in MATLAB, can be used effectively and conveniently. To illustrate the effectiveness of the proposed robust H∞ strategy, a six-story building was subjected both to the 1940 E1 Centro earthquake record and to a suddenly applied Kanai-Tajimi filtered white noise random excitation. The results show that the proposed robust H∞ controller provides satisfactory results with or without variation of the structural stiffness, damping and mass parameters. 展开更多
关键词 structural control robust H∞ control linear matrix inequality dynamic output feedback parameter uncertainty seismic excitation
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STOCHASTIC STABILITY OF UNCERTAIN RECURRENT NEURAL NETWORKS WITH MARKOVIAN JUMPING PARAMETERS 被引量:1
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作者 M.SYED ALI 《Acta Mathematica Scientia》 SCIE CSCD 2015年第5期1122-1136,共15页
In this paper, global robust stability of uncertain stochastic recurrent neural networks with Markovian jumping parameters is considered. A novel Linear matrix inequal- ity(LMI) based stability criterion is obtained... In this paper, global robust stability of uncertain stochastic recurrent neural networks with Markovian jumping parameters is considered. A novel Linear matrix inequal- ity(LMI) based stability criterion is obtained to guarantee the asymptotic stability of uncertain stochastic recurrent neural networks with Markovian jumping parameters. The results are derived by using the Lyapunov functional technique, Lipchitz condition and S-procuture. Finally, numerical examples are given to demonstrate the correctness of the theoretical results. Our results are also compared with results discussed in [31] and [34] to show the effectiveness and conservativeness. 展开更多
关键词 Lyapunov functional linear matrix inequality Markovian jumping parameters recurrent neural networks
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Stability of stochastic neural networks with Markovian jumping parameters 被引量:1
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作者 Hua Mingang Deng Feiqi Peng Yunjian 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第3期613-618,共6页
The global asymptotical stability for a class of stochastic delayed neural networks (SDNNs) with Maxkovian jumping parameters is considered. By applying Lyapunov functional method and Ito's differential rule, new d... The global asymptotical stability for a class of stochastic delayed neural networks (SDNNs) with Maxkovian jumping parameters is considered. By applying Lyapunov functional method and Ito's differential rule, new delay-dependent stability conditions are derived. All results are expressed in terms of linear matrix inequality (LMI), and a numerical example is presented to illustrate the correctness and less conservativeness of the proposed method. 展开更多
关键词 stochastic neural networks global asymptotical stability linear matrix inequality Markovian jumping parameters.
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Zonotope parameter identification for piecewise affine systems 被引量:1
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作者 WANG Jianhong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2020年第5期1077-1084,共8页
The problem of how to identify the piecewise affine system is studied in this paper, where this considered piecewise affine system is a special nonlinear system. The reason why it is not easy to identify this piecewis... The problem of how to identify the piecewise affine system is studied in this paper, where this considered piecewise affine system is a special nonlinear system. The reason why it is not easy to identify this piecewise affine system is that each separated region and each unknown parameter vector are all needed to be determined simultaneously. Then, firstly, in order to achieve the identification goal, a multi-class classification process is proposed to determine each separated region. As the proposed multi-class classification process is the same with the classical data clustering strategy, the multi-class classification process can combine the first order algorithm of convex optimization, while achieving the goal of the classification process. Secondly, a zonotope parameter identification algorithm is used to construct a set, which contains the unknown parameter vector. In this zonotope parameter identification algorithm, the strict probabilistic description about the external noise is relaxed, and each unknown parameter vector is also identified. Furthermore, this constructed set is consistent with the measured output and the given bound corresponding to the noise. Thirdly, a sufficient condition about guaranteeing our derived zonotope not growing unbounded with iterations is formulated as an explicit linear matrix inequality. Finally, the effectiveness of this zonotope parameter identification algorithm is proven through a simulation example. 展开更多
关键词 piecewise affine system zonotope parameter identification linear matrix inequality
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Sliding mode control of uncertain systems with distributed time-delay: parameter-dependent Lyapunov functional approach 被引量:2
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作者 Ligang WU Changhong WANG Huijun GAO Qingshuang ZENG 《控制理论与应用(英文版)》 EI 2006年第2期159-167,共9页
The robust stability and robust sliding mode control problems are studied for a class of linear distributed time-delay systems with polytopic-type uncertainties by applying the parameter-dependent Lyapunov functional ... The robust stability and robust sliding mode control problems are studied for a class of linear distributed time-delay systems with polytopic-type uncertainties by applying the parameter-dependent Lyapunov functional approach combining with a new method of introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. First, a sufficient condition is proposed for robust stability of the autonomic system; next, the sufficient conditions of the robust stabilization controller and the existence condition of sliding mode are developed. The results are given in terms of linear matrix inequalities (LMIs), which can be solved via efficient interior-point algorithms. A numerical example is presented to illustrate the feasibility and advantages of the proposed design scheme. 展开更多
关键词 parameter-dependent Lyapunov functional Distributed delay systems Sliding mode control Robust stabilization linear matrix inequalities (LMIs)
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Parameter-dependent Lyapunov functional for systems with multiple time delays 被引量:1
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作者 MinWU YongHE 《控制理论与应用(英文版)》 EI 2004年第3期239-245,共7页
The separation of the Lyapunov matrices and system matrices plays an important role when one uses parameter-dependent Lyapunov functional handling systems with polytopic type uncertainties. The delay-dependent robust ... The separation of the Lyapunov matrices and system matrices plays an important role when one uses parameter-dependent Lyapunov functional handling systems with polytopic type uncertainties. The delay-dependent robust stability problem for systems with polytopic type uncertainties is discussed by using parameter-dependent Lyapunov functional. The derivative term in the derivative of Lyapunov functional is reserved and the free weighting matrices are employed to express the relationship between die terms in the system equation such that the Lyapunov matrices are not involved in any product terms with the system matrices. In addition, the relationships between the terms in the Leibniz Newton formula are also described by some free weighting matrices and some delay-dependent stability conditions are derived. Numerical examples demonstrate that the proposed criteria are more effective than the previous results. 展开更多
关键词 Robust stability DELAY-DEPENDENT parameter-dependent Lyapunov functional Polytopic type uncertainties linear matrix inequality
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Robust output feedback cruise control for high-speed train movement with uncertain parameters
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作者 李树凯 杨立兴 李克平 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第1期184-189,共6页
In this paper, the robust output feedback cruise control for high-speed train movement with uncertain parameters is investigated. The dynamic of a high-speed train is modeled by a cascade of cars connected by flexible... In this paper, the robust output feedback cruise control for high-speed train movement with uncertain parameters is investigated. The dynamic of a high-speed train is modeled by a cascade of cars connected by flexible couplers, which is subject to rolling mechanical resistance, aerodynamic drag and wind gust. Based on Lyapunov's stability theory, the sufficient condition for the existence of the robust output feedback cruise control law is given in terms of linear matrix inequalities(LMIs), under which the high-speed train tracks the desired speed, the relative spring displacement between the two neighboring cars is stable at the equilibrium state, and meanwhile a small prescribed H∞ disturbance attenuation level is guaranteed. One numerical example is given to illustrate the effectiveness of the proposed methods. 展开更多
关键词 high-speed train cruise control uncertain parameters linear matrix inequalities
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Improved delay-dependent globally asymptotic stability of delayed uncertain recurrent neural networks with Markovian jumping parameters
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作者 籍艳 崔宝同 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第6期154-161,共8页
In this paper, we have improved delay-dependent stability criteria for recurrent neural networks with a delay varying over a range and Markovian jumping parameters. The criteria improve over some previous ones in that... In this paper, we have improved delay-dependent stability criteria for recurrent neural networks with a delay varying over a range and Markovian jumping parameters. The criteria improve over some previous ones in that they have fewer matrix variables yet less conservatism. In addition, a numerical example is provided to illustrate the applicability of the result using the linear matrix inequality toolbox in MATLAB. 展开更多
关键词 recurrent neural networks time-varying delays linear matrix inequality Lyapunov-Krasovskii functional Markovian jumping parameters
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Robust H-infinity filtering for time-delaysystems with missing measurements:a parameter-dependent approach
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作者 Xiao HE Donghua ZHOU 《控制理论与应用(英文版)》 EI 2007年第4期336-344,共9页
Robust H-infinity filtering for a class of uncertain discrete-time linear systems with time delays and missing measurements is studied in this paper. The uncertain parameters are supposed to reside in a convex polytop... Robust H-infinity filtering for a class of uncertain discrete-time linear systems with time delays and missing measurements is studied in this paper. The uncertain parameters are supposed to reside in a convex polytope and the missing measurements are described by a binary switching sequence satisfying a Bernoulli distribution. Our attention is focused on the analysis and design of robust H-infinity filters such that, for all admissible parameter uncertainties and all possible missing measurements, the filtering error system is exponentially mean-square stable with a prescribed H-infinity disturbance attenuation level. A parameter-dependent approach is proposed to derive a less conservative result. Sufficient conditions are established for the existence of the desired filter in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of the desired filter is also provided. Finally, a numerical example is presented to illustrate the effectiveness and applicability of the proposed method. 展开更多
关键词 Robust H-infinity filtering Polytopic uncertainties Missing measurements TIME-DELAYS parameter de-pendent linear matrix inequalities (LMIs)
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Robust guaranteed cost filtering for uncertain timedelay systems with Markovian jumping parameters
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作者 Fu Yanming Zhang Ying Duan Guangren Chai Qingxuan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第4期852-857,共6页
The robust guaranteed cost filtering problem for a dass of linear uncertain stochastic systems with time delays is investigated. The system under study involves time delays, jumping parameters and Brownian motions. Th... The robust guaranteed cost filtering problem for a dass of linear uncertain stochastic systems with time delays is investigated. The system under study involves time delays, jumping parameters and Brownian motions. The transition of the jumping parameters in systems is governed by a finite-state Markov process. The objective is to design linear memoryless filters such that for all uncertainties, the resulting augmented system is robust stochastically stable independent of delays and satisfies the proposed guaranteed cost performance. Based on stability theory in stochastic differential equations, a sufficient condition on the existence of robust guaranteed cost filters is derived. Robust guaranteed cost filters are designed in terms of linear matrix inequalities. A convex optimization problem with LMI constraints is formulated to design the suboptimal guaranteed cost filters. 展开更多
关键词 stochastic systems Markovian jumping parameters guaranteed oost filtering linear matrix inequalities time-delay systems.
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Robust Active Suspension Design Subject to Vehicle Inertial Parameter Variations
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作者 Hai-Ping Du Nong Zhang 《International Journal of Automation and computing》 EI 2010年第4期419-427,共9页
This paper presents an approach in designing a robust controller for vehicle suspensions considering changes in vehicle inertial properties. A four-degree-of-freedom half-car model with active suspension is studied in... This paper presents an approach in designing a robust controller for vehicle suspensions considering changes in vehicle inertial properties. A four-degree-of-freedom half-car model with active suspension is studied in this paper, and three main performance requirements are considered. Among these requirements, the ride comfort performance is optimized by minimizing the Ho~ norm of the transfer function from the road disturbance to the sprung mass acceleration, while the road holding performance and the suspension deflection limitation are guaranteed by constraining the generalized H2 (GH2) norms of the transfer functions from the road disturbance to the dynamic tyre load and the suspension deflection to be less than their hard limits, respectively. At the same time, the controller saturation problem is considered by constraining its peak response output to be less than a given limit using the GH2 norm as well. By solving the finite number of linear matrix inequalities (LMIs) with the minimization optimization procedure, the controller gains, which are dependent on the time-varying inertial parameters, can be obtained. Numerical simulations on both frequency and bump responses show that the designed parameter-dependent controller can achieve better active suspension performance compared with the passive suspension in spite of the variations of inertial parameters. 展开更多
关键词 Active suspension half-car suspension model parameter-dependent control linear matrix inequalities (LMIs)
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Robust L_1 filtering with pole constraint in a disk via parameter-dependent Lyapunov functions
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作者 LiYanhui WenQiyong +2 位作者 WangJunling WangChanghong GaoHuijun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第1期102-109,共8页
The problem of robust L 1 filtering with pole constraint in a disk for linear continuous polytopic uncertain systems is discussed. The attention is focused on design a linear asymptotically stable filter such that th... The problem of robust L 1 filtering with pole constraint in a disk for linear continuous polytopic uncertain systems is discussed. The attention is focused on design a linear asymptotically stable filter such that the filtering error system remains robustly stable, and has a L 1 performance constraint and pole constraint in a disk. The new robust L 1 performance criteria and regional pole placement condition are obtained via parameter-dependent Lyapunov functions method. Upon the proposed multiobjective performance criteria and by means of LMI technique, both full-order and reduced-order robust L 1 filter with suitable dynamic behavior can be obtained from the solution of convex optimization problems. Compared with earlier result in the quadratic framework, this approach turns out to be less conservative. The efficiency of the proposed technique is demonstrated by a numerical example. 展开更多
关键词 robust filtering parameter-dependent Lyapunov function linear matrix inequality L 1 performance pole placement technique.
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An improved robust stability and robust stabilization method for linear discrete-time uncertain systems 被引量:5
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作者 Xianming ZHANG Min WU +1 位作者 Jinhua SHE Dongsheng HAN 《控制理论与应用(英文版)》 EI 2007年第1期99-103,共5页
This paper addresses the problems of the robust stability and robust stabilization of a discrete-time system with polytopic uncertainties. A new and simple method is presented to directly decouple the Lyapunov matrix ... This paper addresses the problems of the robust stability and robust stabilization of a discrete-time system with polytopic uncertainties. A new and simple method is presented to directly decouple the Lyapunov matrix and the system dynamic matrix. Combining this method with the parameter-dependent Lyapunov function approach yields new criteria that include some existing ones as special cases. A numerical example illustrates the improvement over the existing ones. 展开更多
关键词 Robust stability Robust stabilization parameter-dependent Lyapunov function linear matrix inequality
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Analysis and control of a class of uncertain linear periodic discrete-time systems
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作者 孙凯 谢广明 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第4期475-488,共14页
Feedback control problems for linear periodic systems (LPSs) with interval- type parameter uncertainties are studied in the discrete-time domain. First, the stability analysis and stabilization problems are addresse... Feedback control problems for linear periodic systems (LPSs) with interval- type parameter uncertainties are studied in the discrete-time domain. First, the stability analysis and stabilization problems are addressed. Conditions based on the linear matrices inequality (LMI) for the asymptotical stability and state feedback stabilization, respec-tively, are given. Problems of L2-gain analysis and control synthesis are studied. For the L2-gain analysis problem, we obtain an LMI-based condition such that the autonomous uncertain LPS is asymptotically stable and has an L2-gain smaller than a positive scalar γ. For the control synthesis problem, we derive an LMI-based condition to build a state feedback controller ensuring that the closed-loop system is asymptotically stable and has an L2-gain smaller than the positive scalar γ. All the conditions are necessary and sufficient. 展开更多
关键词 linear periodic system parameter uncertainty robust stability linear matrix inequality (LMI) state feedback STABILIZATION L2-GAIN
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Stabilization of a class of nonlinear discrete time systems with time varying delay
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作者 Maryam Fattahi Nastaran Vasegh Hamid Reza Momeni 《Journal of Central South University》 SCIE EI CAS 2014年第10期3769-3776,共8页
The stability and stabilization of a class of nonlinear discrete time delayed systems(NDTDS) with time-varying delay and norm-bounded nonlinearity are investigated. Based on discrete time Lyapunov–Krasovskii function... The stability and stabilization of a class of nonlinear discrete time delayed systems(NDTDS) with time-varying delay and norm-bounded nonlinearity are investigated. Based on discrete time Lyapunov–Krasovskii functional method, a sufficient delaydependent condition for asymptotic stability of nonlinear systems is offered. Then, this condition is used to design a new efficient delayed state feedback controller(DSFC) for stabilization of such systems. These conditions are in the linear matrix inequality(LMI) framework. Illustrative examples confirm the improvement of the proposed approach over the similar cases. Furthermore, the obtained stability and stabilization conditions will be extended to uncertain discrete time delayed systems(UDTDS) with polytopic parameter uncertainties and also with norm-bounded parameter uncertainties. 展开更多
关键词 nonlinear discrete time delayed systems Lyapunov–Krasovskii functional delayed state feedback linear matrix inequality(LMI) polytopic parameter uncertainties norm bounded parameter uncertainties
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Robust guaranteed cost observer design for linear uncertain jump systems with state delays
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作者 付艳明 张博 段广仁 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2008年第6期826-830,共5页
This paper deals with the robust guaranteed cost observer with guaranteed cost performance for a class of linear uncertain jump systems with state delay.The transition of the jumping parameters in systems is governed ... This paper deals with the robust guaranteed cost observer with guaranteed cost performance for a class of linear uncertain jump systems with state delay.The transition of the jumping parameters in systems is governed by a finite-state Markov process.Based on the stability theory in stochastic differential equations,a sufficient condition on the existence of the proposed robust guaranteed cost observer is derived.Robust guaranteed cost observers are designed in terms of a set of linear coupled matrix inequalities.A convex optimization problem with LMI constraints is formulated to design the suboptimal guaranteed cost observers. 展开更多
关键词 stochastic systems Markov jumping parameters robust guaranteed cost observer linear matrix inequalities time-delay systems
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Robust exponential stability and stabilization of linear uncertain polytopic time-delay systems
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作者 Nam PHAN T. Phat VU N. 《控制理论与应用(英文版)》 EI 2008年第2期163-170,共8页
This paper proposes new sufficient conditions for the exponential stability and stabilization.of linear uncertain polytopic time-delay systems. The conditions for exponential stability are expressed in terms of Kharit... This paper proposes new sufficient conditions for the exponential stability and stabilization.of linear uncertain polytopic time-delay systems. The conditions for exponential stability are expressed in terms of Kharitonov-type linear matrix inequalities (LMIs) and we develop control design methods based on LMIs for solving stabilization problem. Our method consists of a combination of the LMI approach and the use of parameter-dependent Lyapunov functionals, which allows to compute simultaneously the two bounds that characterize the exponetial stability rate of the solution. Numerical examples illustrating the conditions are given. 展开更多
关键词 Polytopic time-delay system Exponential stability STABILIZATION parameter-dependent Lyapunov function linear matrix inequalities
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一类分布式时滞LPV系统的鲁棒H_∞滤波 被引量:5
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作者 吴立刚 王常虹 +1 位作者 高会军 曾庆双 《控制与决策》 EI CSCD 北大核心 2006年第9期1059-1064,共6页
研究一类同时具有分布式和离散型时滞的线性参数变化系统的鲁棒H∞滤波问题.基于参数线性矩阵不等式方法,推导了滤波误差系统渐近稳定和具有H∞扰动衰减水平γ的时滞相关充分条件.同时应用投影定理,通过引入附加矩阵变量,解除了系统矩... 研究一类同时具有分布式和离散型时滞的线性参数变化系统的鲁棒H∞滤波问题.基于参数线性矩阵不等式方法,推导了滤波误差系统渐近稳定和具有H∞扰动衰减水平γ的时滞相关充分条件.同时应用投影定理,通过引入附加矩阵变量,解除了系统矩阵与依赖于参数的Lyapunov函数矩阵之间的耦合,使所得到的条件更适合于滤波器的综合.推导了系统鲁棒H∞滤波器存在的充分条件,并将滤波器的设计转化为一组线性矩阵不等式的求解.数值实例证明了所提出设计方案的可行性. 展开更多
关键词 鲁棒H∞滤波 线性参数变化系统 分布式时滞 时滞相关 参数线性矩阵不等式
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变体飞行器LPV建模与鲁棒增益调度控制 被引量:22
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作者 殷明 陆宇平 何真 《南京航空航天大学学报》 EI CAS CSCD 北大核心 2013年第2期202-208,共7页
以可变翼展的变体飞行器为对象,研究了一类变体飞行器的建模与控制问题。分析了飞行器纵向气动参数与翼展变形的关系,构建了气动参数函数。用Jacobian线性化方法,建立了飞行器的线性变参数(Linear pa-rameter varying,LPV)模型,分析了... 以可变翼展的变体飞行器为对象,研究了一类变体飞行器的建模与控制问题。分析了飞行器纵向气动参数与翼展变形的关系,构建了气动参数函数。用Jacobian线性化方法,建立了飞行器的线性变参数(Linear pa-rameter varying,LPV)模型,分析了变体过程中飞行器特征的变化。为保证变体过程的稳定,采用鲁棒增益调度控制方法设计了全局控制器,其设计条件具有线性矩阵不等式(Linear matrix inequality,LMI)的形式。对采用所设计控制器的变体飞行器进行了仿真验证。结果表明:翼展变形对飞行器气动参数有明确的影响,能够直接改变飞行器的系统特征;设计的鲁棒增益调度控制器能实现预期的运动过程,并保证变体过程的全局稳定。 展开更多
关键词 变体飞行器 气动参数函数 线性变参数 鲁棒增益调度 线性矩阵不等式
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