带有区间时滞随机系统的非脆弱保成本控制器设计
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摘要
研究一类具有区间时滞的不确定随机系统的保成本控制问题.目的是设计一个非脆弱保成本控制率,进而找到这个成本函数的上界,运用Lyapunov稳定性理论和线性矩阵不等式的方法,找到保成本控制器设计的充分条件.最后通过一个例子来说明此方法的有效性.
The problem of non-fragile guaranteed cost control for a class of stochastic uncertain systems with delay-range-dependent is considered.The time delay is assumed to be of interval type.The aim is to design a Non-fragile guaranteed cost control law and to obtain the upper bound of the quadratic cost function.A robust stabilization condition is presented in term of the Lyapunov stability theory and the linear matrix inequalities(LMIs) approach.Furthermore,a sufficient condition for the existence of the guaranteed cost controller is constructed.Finally,a numerical example is provided to demonstrate the application of the proposed design method.
The problem of non-fragile guaranteed cost control for a class of stochastic uncertain systems with delay-range-dependent is considered.The time delay is assumed to be of interval type.The aim is to design a Non-fragile guaranteed cost control law and to obtain the upper bound of the quadratic cost function.A robust stabilization condition is presented in term of the Lyapunov stability theory and the linear matrix inequalities(LMIs) approach.Furthermore,a sufficient condition for the existence of the guaranteed cost controller is constructed.Finally,a numerical example is provided to demonstrate the application of the proposed design method.
引文
[1]代慧娟.带有区间时滞的线性系统的鲁棒控制[J].渤海大学学报(自然科学版),2012,33(1):11-15.
[2]李同涛,邓丽,费敏锐,等.一类带有随机,有界时滞网络控制系统的脉冲控制[J].控制与决策,2013,28(2):294-298.
[3]张冬梅,俞立.线性时滞系统稳定性分析综述[J].控制与决策,2008,23(8):841-849.
[4]宫亚梅,颜鹏,游春霞.基于LMI的时滞随机系统非脆弱保成本控制[J].火力与指挥控制,2010,35(10):114-117.
[5]沈浩,徐胜元,赵环宇,等.随机切换时滞系统的鲁棒非脆弱保成本控制[J].南京理工大学学报(自然科学版),2009,33(3):293-296.
[6]ZHANG J,SHI P,QIU J.Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems[J].Journal of the Franklin Institute,2009,346(7):676-690.
[7]CHEN H,ZHU C.Delay-dependent exponential stability for uncertain neutral stochastic linear systems with interval time-varying delay[J].IET Control Theory&Applications,2012,6(15):2409-2418.
[8]QIU J,ZHU X,SU L.Non-fragile guaranteed cost controller design of uncertain non-linear stochastic neutral systems with distributed delays[J].Proceedings of the Institution of Mechanical Engineers,Part I:Journal of Systems and Control Engineering,2010,224(8):904-917.
[9]SU L,ZHU X,QIU J.Non-Fragile guaranteed cost control for a non-linear stochastic system with both distributed delays and input delays[J].Circuits,Systems,and Signal Processing,2011,30(6):1503-1520.
[10]SENTHILKUMAR T,BALASUBRAMANIAM P.Delay-dependent robust stabilization and control for nonlinear stochastic systems with Markovian jump parameters and interval time-varying delays[J].Journal of Optimization Theory and Applications,2011,151(1):100-120.
[11]CHANG S S L,PENG T.Adaptive guaranteed cost control of systems with uncertain parameters[J].Automatic Control,IEEE Transactions on,1972,17(4):474-483.
[2]李同涛,邓丽,费敏锐,等.一类带有随机,有界时滞网络控制系统的脉冲控制[J].控制与决策,2013,28(2):294-298.
[3]张冬梅,俞立.线性时滞系统稳定性分析综述[J].控制与决策,2008,23(8):841-849.
[4]宫亚梅,颜鹏,游春霞.基于LMI的时滞随机系统非脆弱保成本控制[J].火力与指挥控制,2010,35(10):114-117.
[5]沈浩,徐胜元,赵环宇,等.随机切换时滞系统的鲁棒非脆弱保成本控制[J].南京理工大学学报(自然科学版),2009,33(3):293-296.
[6]ZHANG J,SHI P,QIU J.Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems[J].Journal of the Franklin Institute,2009,346(7):676-690.
[7]CHEN H,ZHU C.Delay-dependent exponential stability for uncertain neutral stochastic linear systems with interval time-varying delay[J].IET Control Theory&Applications,2012,6(15):2409-2418.
[8]QIU J,ZHU X,SU L.Non-fragile guaranteed cost controller design of uncertain non-linear stochastic neutral systems with distributed delays[J].Proceedings of the Institution of Mechanical Engineers,Part I:Journal of Systems and Control Engineering,2010,224(8):904-917.
[9]SU L,ZHU X,QIU J.Non-Fragile guaranteed cost control for a non-linear stochastic system with both distributed delays and input delays[J].Circuits,Systems,and Signal Processing,2011,30(6):1503-1520.
[10]SENTHILKUMAR T,BALASUBRAMANIAM P.Delay-dependent robust stabilization and control for nonlinear stochastic systems with Markovian jump parameters and interval time-varying delays[J].Journal of Optimization Theory and Applications,2011,151(1):100-120.
[11]CHANG S S L,PENG T.Adaptive guaranteed cost control of systems with uncertain parameters[J].Automatic Control,IEEE Transactions on,1972,17(4):474-483.