具有时变发射概率的离散隐半马尔可夫跳变系统的镇定

2021 11th International Conference on Intelligent Control and Information Processing (ICICIP) Pub Date : 2021-12-03 DOI:10.1109/ICICIP53388.2021.9642210

Shiyuan Fang, Hanzhi Li, Dacheng Pei, Meixi Wu, Yichong Sun, B. Cai

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引用次数: 1

摘要

研究一类具有时变发射概率的离散时间隐半马尔可夫跳变系统的随机稳定性和镇定问题。利用隐半马尔可夫模型，该随机切换系统具有较好的描述实际系统模式与观测系统模式之间异步现象的能力。此外，本文提出的发射概率是时变的，满足分段齐次性质。基于所提出的Lyapunov函数，构造了一个依赖于观测模式的控制器来稳定闭环hs - mjs。最后，通过数值算例验证了所提控制方案的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stabilization of Discrete-Time Hidden Semi-Markov Jump Systems with Time-varying Emission Probability

This paper concerns the problem of stochastic stability and stabilization for a class of discrete-time hidden semi-Markov jump systems (HS-MJSs) with time-varying emission probability. By virtue of the hidden semi-Markov model, such stochastic switching system has shown superior capacity of describing the asynchronous phenomenon between the practical system mode and the observed one. Moreover, the proposed emission probability is time-varying and satisfies piecewise homogeneous property in this paper. Based on the presented Lyapunov function, an observed-mode-dependent controller is constructed to stabilize the closed-loop HS-MJSs. Finally, the effectiveness of the proposed control scheme has been verified by a numerical example.

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2021 11th International Conference on Intelligent Control and Information Processing (ICICIP)

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