基于观测器的非线性不确定时滞跳变系统无源控制  

Observer-based Passive Control for Nonlinear Uncertain Time-delay Jump Systems

作　　者：何舒平[1] 刘飞[1] 

机构地区：[1]江南大学自动化研究所,江苏无锡214122

出　　处：《数学物理学报（A辑）》2009年第2期334-343,共10页Acta Mathematica Scientia

基　　金：国家自然科学基金(60574001);教育部新世纪优秀人才支持计划(050485)资助

摘　　要：该文基于鲁棒控制理论,采用线性矩阵不等式(LMI)方法,研究了一类非线性不确定时滞Markov跳变系统的无源控制问题,设计了基于观测器的无源控制器.通过构造合适的Lyapunov函数,给出了对所有允许的不确定、时滞和非线性,被控对象满足无源控制指标约束下系统渐近稳定的一个充分条件.求解一个线性矩阵不等式,即可获得系统的无源控制器.仿真示例显示了该文设计方法的有效性.Based on the robust control theory, the problem of passive control and the design of the observer-based passive controller for a class of nonlinear uncertain time-delay Markov jump systems are dealt with by using linear matrix inequalities. By constructing proper Lyapunov functions, a sufficient condition for the system to be asymptotically stable with a passive index bound is presented for all admissible uncertainties, time-delays, and nonlinearities. The passive controller is obtained by solving a linear matrix inequality. Simulation results demonstrate the validity of the proposed approaches..

关 键 词：MARKOV跳变系统 非线性 不确定时滞 无源控制 观测器 线性矩阵不等式(LMI). 

分 类 号：O231[理学—运筹学与控制论] TP273[理学—数学]