具有饱和执行器的时滞广义系统的鲁棒控制  

Robust Control of Time-Delay Singular System with Saturating Actuator

作　　者：梁家荣[1] 肖剑[1] 

机构地区：[1]广西大学计算机与电子信息学院,广西南宁530004

出　　处：《信息与控制》2011年第6期797-801,808,共6页Information and Control

基　　金：国家自然科学基金资助项目(61064002);教育部"新世纪优秀人才支持计划"专项基金资助项目(NCET-06-0756)

摘　　要：利用李亚普诺夫方法研究了时滞广义系统、不确定广义系统和不确定时滞广义系统的鲁棒镇定问题.首先设计了时滞广义系统的具有饱和执行器的控制律,并给出其闭环系统渐近稳定的充分条件.对不确定项是范数有界的不确定广义系统,给出其控制器的设计方法和闭环系统渐近稳定的充分条件.在此基础上,进一步给出了不确定时滞广义线性系统的镇定条件.最后,给出了一个数值算例来说明方法的有效性.The Lyapunov method is employed to study the robust stabilization problems of time-delay singular system, uncertain singular system and uncertain time-delay singular system. The control law with saturating actuator for the time- delay singular system is designed and the sufficient condition is given to guarantee the asymptotical stability of the closed- loop system. Then the design method of the controller and the sufficient condition that ensures asymptotic stability of the closed-loop system are presented for the uncertain singular system with norm bounded uncertainties. On these bases, the stabilization condition of the uncertain linear time-delay singular system is given. Finally, the effectiveness of the proposed method is illustrated by a numerical example.

关 键 词：饱和执行器 渐近稳定 广义系统 时滞 饱和函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]