基于状态观测器的一类不确定性线性系统鲁棒保性能控制器设计

摘要

Regarding a class of linear systems with norm-bounded uncertainty and external disturbancey,it advances a method of designing robust guaranteed cost controllers for linear systems with uncertainty,based on observers.Sufficient conditions for the existence of the controllers were obtained via the use of state transformation and Lyapunov stability theorem.The designed controllers can not only guarantee the stability of the closed-loop system,but also ensure that the closed-loop system has a certain linear two-type energy index and H∞ performance index.The effectiveness of the method has been verified by simulation.%针对一类范数有界和具有外界干扰的状态不可测的线性系统,提出了一种根据观测器的鲁棒保性能控制器的设计方法.通过利用Lyapunov稳定性原理和H∞理论,可以得出鲁棒保性能控制器存在的一个充分条件.所设计的控制器不仅能保证闭环系统的稳定性,而且也能保证闭环系统具有一定的线性二次性能指标和H∞性能指标.利用仿真研究,得出所提方法的有效性.