离散Markovian跳变系统模态依赖非脆弱H_∞控制

Mode-Dependent Non-fragile H_∞ Control for Discrete-Time Markovian Jump System

本文考虑待设计控制器增益存在乘性范数有界不确定摄动,研究了离散Markovian跳变系统在跳变参数可获得时的模态依赖非脆弱H∞控制问题.运用LMI技术推导出模态依赖非脆弱反馈H∞控制器存在的充要条件,并得到计算控制器参数的公式.最后针对一个具体数值算例进行了仿真,通过测取状态响应和输出响应曲线,并与不考虑控制器参数摄动的常规H∞反馈控制器设计结果相比较,展示了本文方法的有效性.

With the assumption that the jump parameters of discrete-time Markovian jump system is available, this paper addresses the problem of mode-dependent non-fragile H~ control for discrete-time Markovian jump system in consideration of the presence of multiplicative bounded controller parameter variations. The neces- sary and sufficient conditon on the existence of mode-dependent non-fragile state feedback H~ controller is de- rived by employing linear matrix inequality （LMI） technology; and an explicit expression of a required con- troller is also given. Through a numercial simulation, an example is finally provided to show effectiveness and superiority of the proposed approach via state response curve and output response curve as well as comparison with normal design method of H~ controller in which controller parameter variation are not considered before- hand.