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Keywords = non-homogeneous hidden semi-Markov jump systems

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15 pages, 455 KB  
Article
Finite-Time Asynchronous H Control for Non-Homogeneous Hidden Semi-Markov Jump Systems
by Qian Wang, Xiaojun Zhang, Yu Shao and Kaibo Shi
Mathematics 2024, 12(19), 3036; https://doi.org/10.3390/math12193036 - 28 Sep 2024
Viewed by 1204
Abstract
This article explores the finite-time control problem associated with a specific category of non-homogeneous hidden semi-Markov jump systems. Firstly, a hidden semi-Markov model is designed to characterize the asynchronous interactions that occur between the true system mode and the controller mode, and emission [...] Read more.
This article explores the finite-time control problem associated with a specific category of non-homogeneous hidden semi-Markov jump systems. Firstly, a hidden semi-Markov model is designed to characterize the asynchronous interactions that occur between the true system mode and the controller mode, and emission probabilities are used to establish relationships between system models and controller modes. Secondly, a novel piecewise homogeneous method is introduced to tackle the non-homogeneous issue by taking into account the time-dependent transition rates for the jump rules between different modes of the system. Thirdly, an asynchronous controller is developed by applying Lyapunov theory along with criteria for stochastic finite-time boundedness, ensuring the specified H performance level is maintained. Finally, the effectiveness of this method is verified through two simulation examples. Full article
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