线性不确定系统的动态输出变结构控制器设计

对一类不确定系统,研究了使得闭环系统渐近稳定的输出变结构控制器的设计问题.控制器由线性和非线性两部分组成,重点在线性部分的设计,通过采用全部动态来消除非匹配不确定性,而非线性部分的设计尽可能简单.利用Lyapunov理论和矩阵不等式方法,推导出动态输出变结构控制律存在的充分条件,并转化为矩阵不等式表示的可行性问题,从而可利用Matlab LMI工具箱来求解,以便构造出变结构控制器.仿真算例说明分析方法和结果是有效可行的.

Design of a Dynamic Output Variable Structure Controller for Uncertain Linear Systems

The design of an output feedback controller is investigated to enable a closedloop system to be asymptotically stable for a class of uncertain systems.A controller is proposed including both nonlinear and linear parts,and the latter is stressed in design.Dynamics is introduced completely to eliminate mismatched uncertainties and,on the other hand,the nonlinear part is simplified as possible.Based on the Lyapunov theory and LMI(linear matrix inequality),the sufficient conditions for the existence of the cont...