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Stabilization of semi‐Markovian jump systems by a stochastically scheduled controller
International Journal of Robust and Nonlinear Control ( IF 3.9 ) Pub Date : 2020-12-27 , DOI: 10.1002/rnc.5376
Guoliang Wang 1 , Qiang Fan 1
Affiliation  

This article considers the stabilization problem of continuous‐time semi‐Markovian jump systems. A kind of stochastically scheduled controller is proposed to realize the aim. It could also suffer a case that no controller is added to subsystems during some time slices. Based on a Lyapunov approach, sufficient conditions for such a controller are presented with LMI forms. Both sojourn times of jump signal and distribution properties of stochastic scheduling are involved and have positive roles in getting better performances. Two special cases about mode‐dependent and mode‐independent controllers are directly obtained. A practical example is given to verify the effectiveness and superiority of the proposed methods.

中文翻译:

随机调度控制器对半马尔可夫跳跃系统的镇定

本文考虑了连续时间半马尔可夫跳跃系统的稳定问题。为了实现该目标,提出了一种随机调度的控制器。在某些时间段内未将任何控制器添加到子系统的情况下,也可能会遇到这种情况。基于Lyapunov方法,使用LMI表格为此类控制器提供了充分的条件。跳跃信号的停留时间和随机调度的分布特性都参与其中,并且在获得更好的性能方面具有积极作用。直接获得关于模式依赖和模式独立控制器的两种特殊情况。给出了一个实例,验证了所提方法的有效性和优越性。
更新日期:2021-02-05
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