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

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.