不确定非线性时滞系统的时滞无关鲁棒可靠H_∞控制的LMI条件(英文)  

Delay-independent robust reliable H_∞ control for uncertain nonlinear time-delay systems via LMI approach

作　　者：玉强[1] 吴保卫[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《贵州师范大学学报（自然科学版）》2009年第2期71-78,共8页Journal of Guizhou Normal University：Natural Sciences

基　　金：supported by NNSF of China(No.10071047)

摘　　要：研究了一类不确定非线性时滞系统的鲁棒可靠H∞控制问题。通过Lyapunov泛函方法及LMI技术,首先针对无不确定性非线性时滞系统给出了使其保持全局指数稳定且具有给定扰动抑制水平的充分条件。通过简单运算,获得了存在参数扰动的不确定非线性系统的LMI条件。应用LMI最优化方式设计的鲁棒可靠H∞状态反馈控制。数值算例演示了结论的有效性。This paper investigates the robust reliable H∞ control for a class of uncertain nonlinear timedelay systems. By using Lyapunov method and linear matrix inequality （LMI） technology, a criterion for nonlinear time-delay system without uncertainty is proposed to guarantee global exponential stabilization and disturbance attenuation. The criterion for uncertain nonlinear time-delay system with parameter uncertainties is obtained by simple derivation. Linear matrix inequality optimization approach is used to design the robust reliable H∞ state feedback control. Numerical examples are given to indicate significant improvements and illustrate the effectiveness of the main results.

关 键 词：不确定非线性系统 时滞 指数稳定 可靠H∞ 控制 LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]