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一类时滞广义非线性系统H_∞可靠跟踪控制
引用本文:任洁,陆国平,张小美.一类时滞广义非线性系统H_∞可靠跟踪控制[J].控制理论与应用,2010,27(11):1543-1550.
作者姓名:任洁  陆国平  张小美
作者单位:1. 南通大学杏林学院,江苏南通,226007
2. 南通大学电气工程学院,江苏南通226019;江苏信息职业技术学院,江苏无锡214513
3. 南通大学电子信息学院,江苏南通,226019
基金项目:国家自然科学基金资助项目(60874021, 60974016); 江苏省自然科学基金资助项目(BK2010275); 江苏省高校“青蓝工程”资助项目; 江苏省高校自然科学研究资助项目(10KJB120002).
摘    要:讨论一类Lipschitz时滞非线性广义系统的H∞可靠跟踪控制问题.分别给出了执行器失效和传感器失效两种模型下可靠控制器存在的充分条件,使得闭环系统正则无脉冲并且指数稳定,同时系统输出跟踪预先给定的可测参考模型的输出,且满足H∞性能指标,并利用线性矩阵不等式技巧给出了可靠控制器的设计方法.最后给出了一个数值例子,说明了本文所给出方法的有效性.

关 键 词:广义系统    时滞系统    可靠控制    跟踪控制    H∞控制
收稿时间:2009/7/17 0:00:00
修稿时间:3/8/2010 12:00:00 AM

Reliable H-infinity tracking control for a class of time-delay nonlinear singular systems
REN Jie,LU Guo-ping and ZHANG Xiao-mei.Reliable H-infinity tracking control for a class of time-delay nonlinear singular systems[J].Control Theory & Applications,2010,27(11):1543-1550.
Authors:REN Jie  LU Guo-ping and ZHANG Xiao-mei
Affiliation:Xinglin College, Nantong University,School of Electrical Engineering, Nantong University; Jiangsu College of Information Technology,School of Electronics and Information, Nantong University
Abstract:H-infinity reliable tracking control for a class of Lipschitz nonlinear singular systems with time-delay is studied. Considering both actuator failures and sensor failures, we give a sufficient condition for the closed-loop system to be regular, impulse-free and exponentially stable. Under this condition, the system output tracks the given reference model output and satisfies H-infinity performance requirements. The corresponding reliable controller is designed by means of linear matrix inequalities technique. An illustrative numerical example is presented to show the effectiveness of the proposed approach.
Keywords:singular systems  time-delay systems  reliable control  tracking control  H-infinity control
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