不确定状态滞后线性跳跃系统的时滞相关鲁棒非脆弱H∞控制

讨论了一类具有Markov跳跃参数的不确定混合线性时滞系统的鲁棒非脆弱控制问题.给出了使系统鲁棒随机稳定并具有给定的H∞性能的充分条件.并且通过参数变换和Schur补定理,将已得出的充分条件转化成一系列耦合的线性矩阵不等式形式以便于控制器参数的求解.仿真结果表明了本文提出的鲁棒非脆弱控制方法的有效性.

Delay-dependent robust and non-fragile H-infinity control for uncertain state-delayed jump linear systems

This paper studies the problem of stochastic stability and disturbance attenuation for a class of uncertain Markovian jump linear systems with time-delays which are time-varying and depend on the system mode.Sufficient conditions for the existence of a robust and non-fragile H-infinity controller are derived.By using the change of variables and Schur complements,the obtained conditions can be rewritten as a set of coupled linear matrix inequalities(LMIs),and the H-infinity controller can be constructed through the numerical solution of these LMIs.An illustrative numerical example is provided to demonstrate the effectiveness of the proposed approach.