输入延迟切换系统的预测镇定控制

Predictive Stabilization Control of Input Delay Switched System

  • 摘要: 为一类含有输入延迟的线性切换系统构造切换预估器,预估系统未来状态,以消除输入延迟的影响.利用预估状态设计在任意情况切换信号的切换控制器,使闭环切换系统在任意切换下全局渐近稳定.根据系统初态和未来的切换信息推演预估器初值,在预估器超前系统切换时间等同于原系统输入延迟时间的情况下,能够准确预估系统未来状态,从而能够明确闭环子系统的动态,简化控制器设计和切换系统稳定性分析过程.通过仿真表明,设计的预测器能有效的提供超前状态信号,基于此设计的控制器实现了渐近镇定.

     

    Abstract: A switched predictor is constructed for a class of linear switched systems with input delay to predict the future system state and counteract the input delay. The estimated state is used to design a switching controller that switches signals in any situation so that the closed-loop switched system is globally asymptotically stable under arbitrary switching. The initial state of the predictor is deduced according to the present system state and future switching information. When the predictor's advanced system switching time is equal to the original system input delay time, it can accurately predict the future state of the system, which simplifies the dynamics of the closed-loop subsystems, the controller design, and the stability analysis procedure of the switched system. The simulation shows that the switched predictor can provide a future system state, and the predictor-based controller achieves asymptotic stability.

     

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