Robust H_∞ control of piecewise-linear chaotic systems with random data loss  

作　　者：张洪斌 于永斌 张健 

机构地区：[1]School of Electronic Engineering,University of Electronic Science and Technology of China [2]School of Computer Science & Engineering,University of Electronic Science and Technology of China [3]School of Automation Engineering,University of Electronic Science and Technology of China

出　　处：《Chinese Physics B》2010年第8期191-199,共9页中国物理B（英文版）

基　　金：Project partially supported by the Young Scientists Fund of the National Natural Science Foundation of China(Grant No.60904004);the Key Youth Science and Technology Foundation of University of Electronic Science and Technology of China (Grant No.L08010201JX0720)

摘　　要：This paper studies the problem of robust H∞ control of piecewise-linear chaotic systems with random data loss. The communication links between the plant and the controller are assumed to be imperfect （that is, data loss occurs intermittently, which appears typically in a network environment）. The data loss is modelled as a random process which obeys a Bernoulli distribution. In the face of random data loss, a piecewise controller is designed to robustly stabilize the networked system in the sense of mean square and also achieve a prescribed H∞ disturbance attenuation performance based on a piecewise-quadratic Lyapunov function. The required H∞ controllers can be designed by solving a set of linear matrix inequalities （LMIs）. Chua＇s system is provided to illustrate the usefulness and applicability of the developed theoretical results.This paper studies the problem of robust H∞ control of piecewise-linear chaotic systems with random data loss. The communication links between the plant and the controller are assumed to be imperfect （that is, data loss occurs intermittently, which appears typically in a network environment）. The data loss is modelled as a random process which obeys a Bernoulli distribution. In the face of random data loss, a piecewise controller is designed to robustly stabilize the networked system in the sense of mean square and also achieve a prescribed H∞ disturbance attenuation performance based on a piecewise-quadratic Lyapunov function. The required H∞ controllers can be designed by solving a set of linear matrix inequalities （LMIs）. Chua＇s system is provided to illustrate the usefulness and applicability of the developed theoretical results.

关 键 词：CHAOS H∞ control piecewise-linear systems piecewise-quadratic Lyapunov functions random data loss 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]