期刊
SYSTEMS & CONTROL LETTERS
卷 157, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.sysconle.2021.105059
关键词
Hidden Markov model; Periodic Lure system; Singular perturbation; Fading channel
资金
- NSFC [12161011, 62173100]
- National Natural Science Foundation of Guangxi Province [2020GXNSFAA159049, 2020GXNSFFA297003]
- Guangxi Science and Technology Base and Specialized Talents [Guike AD20159057]
- Training Program for 1000 Young and Middle-aged Cadre Teachers in Universities of Guangxi Province
- National Research Foundation of Korea (NRF) - Korea government (MSIT) [2020R1A2B5B02002002]
This study introduces a novel hidden Markov model-based control method to address the control problem of periodic systems subject to singular perturbations and Lur'e cone-bounded nonlinearity. New techniques have been developed to handle stochastic Lyapunov functional, ensuring the stochastic stability of the resulting dynamics. An application-oriented example is provided to confirm the effectiveness and applicability of the proposed control strategy.
This study analyzes the problem of hidden Markov model based control for periodic systems subject to singular perturbations and Lur'e cone-bounded nonlinearity. Different from the existing time-invariant fading channels, the fading channels are alleviated to be time-varying. Furthermore, to better depict the time-varying property of the fading channels, a novel periodic Markov process framework subject to mean and variance is developed. The highlight of this study lies that the hidden Markov model detector is forwarded to observe the fading channel mode, whose detection probabilities are generalized to be partially recognized. New techniques are developed in dealing with the stochastic Lyapunov functional, and sufficient conditions are gained to ensure the resulting dynamic is stochastically stable. In the sequel, the asynchronous controller parameters are further achieved to reflect the discrepancy between fading channel mode and its detected one. Finally, an application-oriented example is rendered to confirm the effectiveness and applicability of the developed control strategy. (C) 2021 Elsevier B.V. All rights reserved.
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