摘要
针对一类含有时变时滞的不确定参数线性系统,研究了在执行器发生故障情况下的鲁棒可靠控制器设计问题。系统中的参数不确定性满足广义匹配条件,时变时滞的大小及其变化率有界,并假设故障执行器元件的输出为零。经过适当的模型变换,将原系统的鲁棒指数镇定问题转化为另一个等价系统的鲁棒镇定问题。根据Lyapunov稳定性理论和线性矩阵不等式(LMI)方法,分别给出了鲁棒可靠控制器存在的时滞无关和时滞相关充分条件。仿真结果表明了该控制器设计方法的有效性。
The problem of robust reliable control for time-varying delayed uncertain systems with constraint of decay rate is investigated. In the considered systems, the parameters uncertainties satisfy generalized matched conditions, and the time-varying delay and its derivative are bounded. All the output of the actuator failures is assumed to be zero. The robust exponential stabilization problem is reduced to an equivalent robust stabilization problem via model transformation. By using Lyapunov stability theory, two sufficient conditions of the existing of robust reliable controller are given in terms of linear matrix inequalities. The numerical examples show that the results are valid.
出处
《传感技术学报》
CAS
CSCD
北大核心
2005年第3期460-465,共6页
Chinese Journal of Sensors and Actuators
基金
国家自然科学基金项目资助(60473129)
浙江大学引进人才启动经费项目资助(111000~361302)
关键词
不确定系统
鲁棒可靠控制
时变时滞
线性矩阵不等式
时滞相关
衰减度
uncertain systems
robust reliable control
time varying delay
linear matrix inequality
delaydependent
decay rate
作者简介
谢立（1974-），男，讲师，博士，主要从事鲁棒信号处理，非线性控制，智能机器人研究，xiehan@zju.edu.cu.
