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Event-triggered stabilization for continuous-time saturating Markov jump systems with generally uncertain transition rates
Asian Journal of Control ( IF 2.7 ) Pub Date : 2020-03-01 , DOI: 10.1002/asjc.2311
Hongchao Li 1, 2 , Xinzhou Liu 1, 2 , Jiao Liu 1, 2 , Peng Yang 1, 2
Affiliation  

This paper is concerned with the stabilization for continuous-time saturating Markov jump system with generally uncertain transition rates (GUTRs) under event-triggered strategy. In the GUTRs model, the transition rate could be unknown or only its estimated value and estimated error bound are known. In practical systems, actuator saturation commonly exists, which may lead to instability. Event-triggered strategy is introduced in Markov jump systems to save communication resources. A stochastic stabilization condition is derived for the underlying system considering event-triggered control and the lower bound of the inter-event time interval is calculated to avoid Zeno behavior. To obtain the biggest domain of attraction, an optimization algorithm is formulated. Finally, numerical examples are provided to illustrate the application of the given results.

中文翻译:

具有一般不确定转换率的连续时间饱和马尔可夫跳跃系统的事件触发稳定

本文关注的是在事件触发策略下具有一般不确定转换率 (GUTR) 的连续时间饱和马尔可夫跳跃系统的稳定性。在 GUTRs 模型中,转换率可能是未知的,或者只有它的估计值和估计的误差界限是已知的。在实际系统中,执行器饱和普遍存在,这可能导致不稳定。在马尔可夫跳跃系统中引入了事件触发策略以节省通信资源。为考虑事件触发控制的基础系统推导出随机稳定条件,并计算事件间时间间隔的下限以避免 Zeno 行为。为了获得最大的吸引力域,制定了优化算法。最后,
更新日期:2020-03-01
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