非线性系统的变结构控制及其实现问题

On Variable Structure Control of Nonlinear Systems and Its Implementation

中文关键词  非线性系统  变结构控制  滑动流行  系统实现

英文关键词  nonlinear systems  variablestructure control  sliding manifolds  system implementation

中文摘要

      本文研究一般的多变量非线性系统的变结构控制及其实现问题，给出了滑动模态存在的必要条件和充分条件，证明了当采用具有等速趋近律的变结构控制策略时，用状态观测器来实现变结构控制，对线性（一类非线性）系统，可以保证系统的状态全局（局部）无限趋近于滑动子空间（子流形）。

英文摘要

      Variable structure control of general multivariable nonlinear systems and its implementation by use of observers are studied in this paper. The necessary condition and sufficient condition for the existence of sliding modes are given. It is shown that the states of the controlled systems will approach asymptotically the sliding subspace (or submanifold) globally (or locally, respectively) for linear systems (or a class of nonlinear systems, respectively) if the variable structure control laws are implemented with state observers.