时滞切换LPV系统的鲁棒H_(∞)控制

Robust H-Infinity Control for Switched LPV Systems With Time Delay

研究了时变时滞切换线性参数(LPV)系统的鲁棒H_(∞)控制问题.假设各个切换子系统的状态空间数据是实时可测的,并且依赖于某个紧集上有界变化的参数,运用多参数Lyapunov函数和平均驻留时间的方法来保证闭环系统是指数稳定的,并且具有一定的扰动抑制水平.设计新的具有参数依赖的H无穷准则,引入附加矩阵对参数依赖的Lyapunov函数和系统矩阵进行解耦,以易于数值的实现.最后,采用线性矩阵不等式(LMI)技术求出控制器,并通过MATLAB仿真验证此方法的有效性和可行性.

The problem of robust H-infinity control for switched linear parameter varying(LPV)systems with time-varying delay is studied.Assuming that the state-space data of each switched subsystem,which is dependent on the parameters with bounded variable rates in compact set,are real-time measurable.The exponential stability of the closed-loop system with disturbance attenuation is guaranteed by means of multi-parameter Lyapunov function and average dwell time.Then,a new parameter-dependent H-infinity performance criterion is proposed,which eliminates the coupling between the parameter-dependent Lyapunov function and the system matrix by introducing an additional matrix which enables us to obtain a more easily tractable condition.Finally,sufficient conditions for the existence of such controllers are established by using linear matrix inequalities(LMIs)and the effectiveness and feasibility of this method are verified by MATLAB simulation.