一类切换LPV系统的鲁棒H_∞控制

Robust H_∞ control for a class of switched LPV systems

研究一类切换线性参数变化系统的鲁棒H∞控制问题,假定各切换子系统的状态空间数据实时可测,且为在某一紧集上有界变化的参数.采用多参数依赖Lyapunov函数方法,设计相应切换线性参数变化系统的多参数依赖增益调度H∞控制器,与传统的共同Lyapunov函数方法相比,降低设计的保守性.考虑平均驻留时间切换逻辑,所设计的鲁棒H∞控制器确保闭环系统指数稳定,且具有一定的H∞扰动抑制水平.通过数值仿真验证文中方法的有效性.

The problem of robust H∞ control for a class of switched linear parameter varying systems is dealt with.Assumed the state space data of every switched subsystem is real-time measured and the change is bounded in the certain tight set.For this kind of specially real-variation switched systems,the multiple parameter-dependent of the gain-scheduled H∞ controller for the corresponding switched linear parameter varying systems is designed by the multiple parameter-dependent Lyapunov function method,comparing with the traditionally common Lyapunov function method,which reduces the conservatism of the design.Under the condition of the switching logic with the average dwell time,the obtained robust H∞ controller guarantees that the closed loop system is exponential stable and has a certain H∞ disturbance rejection level.A numerical example is given to prove the effectiveness of the proposed method.