饱和非线性约束离散时间时滞系统鲁棒H_∞控制  

Robust H_∞ Control for a Class of Discrete-time Systems with Time-delays and Saturation Nonlinearities

作　　者：王留海 肖民卿 冯青香 WANG Liu-hai;XIAO Min-qing;FENG Qing-xiang(College of Mathematics and Informatics, Fujian Normal University, Fuzhou 350007 China;Fujian Key Laborotary of Mathematics Analysis and Application,Fuzhou, 350007 China)

机构地区：[1]福建师范大学数学与信息学院,福建福州350007 [2]福建省分析数学及应用重点实验室,福建福州350007

出　　处：《三明学院学报》2019年第2期26-31,共6页Journal of Sanming University

基　　金：福建省自然科学基金项目(2014J01222);福建省基金青年创新项目(2016J05003)

摘　　要：研究了一类含有饱和非线性状态约束的离散时间时滞系统鲁棒H_∞控制问题。基于Lyapunov稳定性理论和线性矩阵不等式(LMI)处理方法,通过构造适当Lyapunov-Krasovskii函数,推导出该系统H_∞状态反馈控制器存在的条件和设计方法,并探讨了H_∞最优控制问题,给出了最优H_∞控制律参数化的设计方法。最后算例验证了所提方法的有效性。The problem of robust H∞ control for a class of discrete-time systems with time-delays and saturation nonlinearities is studied in this paper. Based on Lyapunov stability theory and linear matrix inqualities(LMIs) approach, an appropriate Lyapunov-Krasovskii function is constructed. A sufficient condition for the existence and a design approach of the H∞ controller are given. Then the H∞ optimal control problem is discussed and a method of optimal control parametric law is designed. An example is given to illustrate the effectiveness of the proposed method.

关 键 词：时滞系统 饱和状态约束 鲁棒控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]