Abstract:

The problem of H_∞ bumpless transfer control for networked switched systems with exogenous disturbance is investigated via an event?triggered mechanism. A novel method is first proposed to characterize the bumpless transfer performance at both switching instants and triggering instants, and an adaptive event?triggered mechanism dependent on the control bumps is designed to effectively suppress the sharp jumps in control signals resulting from the combined effects of subsystem switching and event-triggering. A dwell time-dependent and state?dependent hybrid switching law is developed. This strategy overcomes the limitations of conventional state?dependent switching laws by relaxing the non?increasing requirement of the Lyapunov function at switching points. Furthermore, by using the multiple Lyapunov function method, the sufficient conditions for the networked switched systems to be exponentially stabilizable with H∞ bumpless transfer performance are given, the H_∞ bumpless transfer controller is also designed. Finally, a numerical example is provided to demonstrate the validity and superiority of the results in this paper.

Key words: Switched systems, Bumpless transfer control, Event?triggered mechanism, Multiple Lyapunov function

摘要：

针对受外部扰动影响的网络化切换系统，研究了其基于事件触发机制的H_{\mathrm{\infty }}无扰切换控制问题。提出了在切换点和触发点描述无扰切换性能的方法；设计了依赖控制颠簸的自适应事件触发机制，以有效抑制切换与触发共同引发的剧烈控制信号跳变；设计了驻留时间和状态依赖的混合切换策略，突破传统单一状态依赖切换模式的局限性，放宽Lyapunov函数在切换点处的非增约束条件；运用多Lyapunov函数方法，推导网络化切换系统指数稳定且满足H_{\mathrm{\infty }}无扰切换性能的充分条件，并给出了H_{\mathrm{\infty }}无扰切换控制器的设计方案；通过数值算例验证了文中结果的有效性。在节省通信资源的基础上，解决了存在网络时延的切换系统的H_{\mathrm{\infty }}无扰切换控制问题。

关键词: 切换系统, 无扰切换控制, 事件触发, 多Lyapunov函数