离散不确定时滞系统的鲁棒非脆弱H_∞保成本控制

Robust Discrete Uncertain Systems with Time Delay is n-fragile H_∞ Guaranteed Cost Control

本论文研究了一类不确定时滞系统的非脆弱H∞保成本控制问题。所研究系统的输入和输出均含有时滞,状态,输入和输出均存在不确定性。在Lyapunov稳定理论的框架下,给出了系统鲁棒及H∞保性能的有界实引理。在此基础上,利用Lyapunov函数和线性矩阵不等式的方法,给出了非脆弱控制器的设计方法。

This paper studies a class of uncertain time- delay systems of n- fragile H∞Guaranteed cost control problem.The research system of input and output delay,status,the input and output are uncertainty. In the framework of Lyapunov stability theory,the paper presents the system robustness and H∞performance of bounded real lemma. On this basis,by using the method of Lyapunov function and linear matrix inequality,the n- fragile controller design method is given.