摘要
针对带有输入时滞的不确定线性时滞系统,基于适当形式的Lyapunov泛函,利用线性矩阵不等式方法讨论了时滞相关型鲁棒H∞状态反馈控制器设计问题,其中不确定性是时变未知的,满足范数有界条件,且控制器存在的充分条件由线性矩阵不等式的形式给出。给出了一个应用实例,并与已有结果进行了比较。与通常所采用的导出时滞相关型鲁棒H∞状态反馈控制器的设计方法相比,只需进行两次矩阵不等式的放大,就可得到相应的控制器设计方案。仿真结果表明:控制器设计方案具有较小的保守性。
The design of a delay-dependent robust H∞ state feedback control for linear , uncertain time delay systems with input delays was analyzed using linear matri x inequalities based on an appropriate Lyapunov functional. The unknown uncertai nties were time-varying but norm-bounded. The controller was derived for a suf ficient condition given by the linear matrix inequalities. An example is presen ted to compare the present model with previous models. The controller design met hod can be obtained through 2 matrix inequalities, comparing with existing desig n methods of delay-dependent robust H∞ state feedback controllers. Accor ding to simulation result, the controller design method is less conservative.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2003年第7期912-915,共4页
Journal of Tsinghua University(Science and Technology)
基金
国家教育振兴计划项目
国家"十五"计划重点研究项目(2001BA609A)
中国博士后科学基金
