具有有界控制输入的状态反馈控制系统闭环稳定性  

Closed - Ioop Stability of State Feedback Control Systems with Bounded Control Input

作　　者：张桂香[1] 金耀[1] 叶振凯[1] 

机构地区：[1]湖南大学机械与汽车工程学院,长沙410082

出　　处：《计算技术与自动化》2002年第2期16-19,共4页Computing Technology and Automation

摘　　要：本文基于李雅普诺夫定理,给出了具有有界控制输入的离散时间系统和连续时间控制系统的闭环渐近稳定性判据。利用不考虑控制约束时闭环系统李雅普诺夫矩阵方程解,得出了当控制输入有界时,线性状态反馈控制系统为渐近稳定的充分条件。这些判据具有简单的形式,并且易于计算。On the basis of the Lyapunov theorem,this paper proposes some criteria to judeg the closed - loop asymptotic stability of both discrete time control systems and continuous time control systems with bounded control input. By the use of the solution of the Lyapunov equation of the closed - loop systems without constraints on the control, sufficient conditions are obtained to guarantee the asymptotic stability of the state feedback control systems. These criteria are simple and can be verified easily.

关 键 词：有界控制输入 状态反馈控制系统 闭环稳定性 李雅普诺夫定理 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]