This paper develops an asynchronous mode-dependent repetitive control strategy with periodic event-based dynamic output feedback for periodic trajectory tracking of continuous-time switched systems subject to time-varying switching delays between system modes and controllers and limited communication capacity in the feedback channel. By employing the input delay approach, the overall system is modelled as an augmented closed-loop switched system with both constant and time-varying state delays. A co-design framework is proposed for simultaneously designing the controller, event-triggering mechanism and mode switching signal. Under the co-design framework, using piecewise Lyapunov functional, free-weighting matrices and average dwell time technique, sufficient conditions are derived for ensuring the augmented closed-loop system to be exponentially stable with a prescribed |$H_{\infty }$| attenuation level |$\gamma $| for an exogenous disturbance input. The performance of the proposed controller design scheme is verified via numerical simulation results on a switched RLC series circuit system.

中文翻译：

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通过基于事件的周期性动态输出反馈进行开关系统的异步重复控制

本文开发了一种基于异步模式的重复控制策略，该策略具有基于事件的动态输出反馈，用于连续时间切换系统的周期性轨迹跟踪，该系统受系统模式和控制器之间的时变切换延迟和反馈通道中有限的通信容量的影响。通过采用输入延迟方法，整个系统被建模为具有恒定和时变状态延迟的增强型闭环交换系统。提出了一个共同设计框架，用于同时设计控制器，事件触发机制和模式切换信号。在协同设计框架下，使用分段Lyapunov函数，自由加权矩阵和平均停留时间技术，| $ H _ {\ infty} $ | 衰减级别| $ \ gamma $ | 用于外部干扰输入。通过在开关RLC串联电路系统上的数值仿真结果验证了所提出的控制器设计方案的性能。