基于单位分解的一类非线性系统的变结构控制设计

Variable Structure Control for a Class of Nonlinear Systems Based on Partition of Unity

采用单位分解概念和技术,结合变结构控制方法和LM I方法,讨论一类非线性系统的控制设计问题.首先利用单位分解在紧致域上能够以任意给定精度逼近连续函数的性质,将一类非线性系统表示为带有误差的近似模形式;然后在误差满足某些条件的情况下,利用变结构控制设计了渐近稳定控制器;最后以仿真实例说明了该方法的有效性.

The controller design problem is addressed for a class of nonlinear systems by using partition of unity and variable structure control method. A nonlinear control system is represented as an approximate model with errors. Then, a variable structure controller is designed based on the approximate model and under certain error conditions. Asymptotic stability of the closed-loop system is ensured. An example shows the validity of the proposed method.