一类不确定性切换LPV系统的输出反馈H_(∞)控制

Output Feedback H_(∞)Control for a Class of Uncertain Switched LPV Systems

针对一类含不确定性的切换线性变参数(LPV)系统研究其输出反馈H_(∞)控制问题.首先设计含驻留时间约束的参数与状态依赖的切换律,基于多参数依赖Lyapunov方法,给出闭环系统渐近稳定且满足H_(∞)性能指标的充分条件.然后解决控制器的可解问题,借助线性矩阵不等式给出控制器中未知参数的设计方法.最后通过数值算例验证方法的可行性.

This paper addresses the issues of static output feedback H∞control for a class of uncertain switched linear parameter varying(LPV)systems.Firstly,a parameter and state-dependent switching strategy with dwell time is designed,and a sufficient condition ensuring the stability and H_(∞)performance of the switched LPV systems is established with the aid of multiple parameter-dependent Lyapunov functions.Then the solution of the controller is discussed and the unknown parameters in the controller is given by means of linear matrix ine-quality.Finally,a numerical example is provided to show the feasibility of the results.