不确定时滞线性离散切换系统的鲁棒H_∞控制

Robust H_∞Control for Linear Discrete-Time Switched Systems with Norm-Bounded Uncertainties and Time-Delay

研究一类具有不确定和时滞的线性离散切换系统的鲁棒H∞控制问题．利用多Lya- punov函数技术,在基于状态的切换规则下,给出了这类系统鲁棒镇定且具有H∞性能界的充分条件,以及切换规则和鲁棒H∞切换控制器的设计方案．并将结果应用到一类非切换系统,提出了切换状态反馈控制策略．最后的仿真例子进一步表明了本文结论的有效性．

The problem of robust H∞ control is investigated for a class of linear discretetime switched systems with norm-bounded uncertainties and time-delay. Based on multiple Lyapunov function techniques, a sufficient condition for the problem to be solvable is derived by using a state-based switching law. The robust H∞ controllers for each subsystem and switching law are simultaneously designed. As a direct application, a switching state feedback strategy is proposed to solve the robust H∞ control problem for the linear discrete-time nonswitched systems. Finally, a simulation example is given to illustrate the validity of the results.