摘要
针对时变未知但范数有界不确定离散时滞系统,研究鲁棒无源控制问题,对于所有容许的不确定性和状态滞后,构造无记忆状态反馈控制器,使得系统同时满足稳定性和无源性要求.在状态空间下,基于Lyapunov稳定理论,用S-方法研究该鲁棒无源控制器的存在条件,通过一定的矩阵变换,将设计问题转化为线性矩阵不等式的可解性问题,从而使控制器的设计简单易行.进一步,引入无源化的损耗指标,提出相应的具有指定损耗指标的无源控制器设计方法.最后将该设计方法推广至多时滞情形.
Robust passive control with definite dissipation was studied for a class of discrete time-delay systems with time-varying unknown-but-bounded uncertainties. Via memoryless state feedback, both robust stability and passivity of the closed-loop systems are achieved irrespective of all the uncertainties and time-delays. Based on the Lyapunov theory, the sufficient condition on the existence of robust passive controller is established by S-procedure. Applying matrix manipulation, the design approach of the controller is then proposed in terms of linear matrix inequality (LMI). The result extends to a class of systems with multiple state-delays. For dissipation of zero, the result reduces to the conventional passive control.
出处
《浙江大学学报（工学版）》
EI
CAS
CSCD
北大核心
2002年第6期612-615,共4页
Journal of Zhejiang University：Engineering Science
基金
国家自然科学基金重点资助项目(NSFC:69934030)
中国高等学校优秀青年教师教学科研奖励基金项目
国家杰出青年基金资助项目(NSFC:60025308).
