Robust H∞Control for Linear Discrete-Time Switched Systems with Norm-Bounded Uncertainties and Time-Delay
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摘要: 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Lyapunov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．
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关键词:
- 线性离散切换系统 /
- 鲁捧H∞混杂控制 /
- 多Lyapunov函数 /
- 线性矩阵不等式
Abstract: The problem of robust H1 control is investigated for a class of linear discrete-time 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 H1 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 H1 control problem for the linear discrete time nonswitched systems. Finally, a simulation example is given to illustrate the validity of theresults -
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