非线性变结构控制理论及在分岔控制中的应用

Nonlinear Variable Structure Control Theory And Its Application in Bifurcation Control

系统地介绍了变结构控制的基本概念 ,包括各种形式的趋近律及切换函数的设计方法。提出了一种引入等效控制项的非线性变结构分岔控制方法。该控制律既保留了传统非线性变结构控制的优点 ,又简化了设计 ,解决了高频抖动的问题。通过实例仿真分析 ,验证了该方法的有效性。

A concept of variable structure control is introduced systematically. It includes a variety of approach principles, design method of switching function and variable structure control theory of nonlinear system. A new nonlinear variable structure control principle with equivalent control term is applied to control bifurcation of a nonlinear system. This control system retains the positive properties of conventional sliding mode control, which simplifies the process of design and solves the problem of high frequency shaking. The effectiveness of the method is verified by simulation and analysis of the example.