具有状态时滞和控制时滞的不确定性非线性系统的鲁棒控制  

Robust Stabilization of Uncertain Nonlinear Systems with Time Delays in both State and Control Input

作　　者：程储旺[1] 宋执环[1] 孙优贤[1] 

机构地区：[1]浙江大学工业控制技术国家重点实验室,浙江大学工业控制技术研究所,杭州310027

出　　处：《控制理论与应用》1998年第4期605-609,共5页Control Theory & Applications

摘　　要：对于具有状态时滞和控制时滞的不确定性非线性系统，当其线性部分的不确定性满足范数有界条件而非线性部分的不确定性满足匹配条件时，本文研究其鲁棒镇定问题．在整体指数稳定的意义下，我们得到了上述这类系统可由线性状态反馈和输出反馈镇定的充分条件——某个代数黎卡提不等式有解．并且只要得到了黎卡提不等式的解，就可很方便地设计出对应的控制器．For a class of uncertain nonlinear systems with time-delays in both state and control input,when in the linear part of the plant,the uncertainties are unknown but norm-bounded,and the uncertainties in the nonlinear part satisfy the so-called matching condition,this paper deals with the robust stabilization problem. The sufficient conditions for the systems under consideration to be stabilizable via state feedback or output feedback are given in terms of Riccati inequality,in the sense of global exponential stability. And we show that the controller can be designed by a simple procedure so long as obtaining the solutions of the corresponding inequalities.

关 键 词：状态反馈 输出反馈 非线性系统 鲁棒控制 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置] TP273[自动化与计算机技术—控制科学与工程]