Asynchronous Stabilization for Two Classes of Stochastic Switching Systems with Applications on Servo Motors
This paper addresses the asynchronous stabilization problem of two typical stochastic switching systems, i.e., dual switching systems and semi-Markov jump systems. By dual switching, it means that the systems contain both deterministic and stochastic switching dynamics. New stability criteria are fi...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/8/1126 |
| _version_ | 1797410422091939840 |
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| author | Yushu Deng Shihao Wang Shiqi Zheng Haiming Li Haitao Jian Xiaoqi Tang |
| author_facet | Yushu Deng Shihao Wang Shiqi Zheng Haiming Li Haitao Jian Xiaoqi Tang |
| author_sort | Yushu Deng |
| collection | DOAJ |
| description | This paper addresses the asynchronous stabilization problem of two typical stochastic switching systems, i.e., dual switching systems and semi-Markov jump systems. By dual switching, it means that the systems contain both deterministic and stochastic switching dynamics. New stability criteria are firstly proposed for these two switched systems, which can well handle the asynchronous phenomenon. The conditional expectation of Lyapunov functions is allowed to increase during some unmatched interval to reduce the conservatism. Next, we present numerically testable asynchronous controller design methods for the dual switching systems. The proposed method is suitable for the situation where the asynchronous modes come from both inaccurate mode detection and time varying delay. Meanwhile, the transition probabilities are both uncertain and partly accessible. Finally, novel asynchronous controller design methods are proposed for the semi-Markov jump systems. The sojourn time of the semi-Markov jump systems can have both lower and upper bounds, which could be more practical than previous scenarios. Examples are utilized to demonstrate the effectiveness of the proposed methods. |
| first_indexed | 2024-03-09T04:29:46Z |
| format | Article |
| id | doaj.art-674b368e6ee54694b0d0fea8bb5efb2b |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T04:29:46Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-674b368e6ee54694b0d0fea8bb5efb2b2023-12-03T13:37:17ZengMDPI AGEntropy1099-43002022-08-01248112610.3390/e24081126Asynchronous Stabilization for Two Classes of Stochastic Switching Systems with Applications on Servo MotorsYushu Deng0Shihao Wang1Shiqi Zheng2Haiming Li3Haitao Jian4Xiaoqi Tang5Shaoyang Institute of Advanced Manufacturing Technology, Shaoyang 422000, ChinaSchool of Automation, China University of Geosciences, Wuhan 430074, ChinaSchool of Automation, China University of Geosciences, Wuhan 430074, ChinaSchool of Automation, China University of Geosciences, Wuhan 430074, ChinaSchool of Automation, China University of Geosciences, Wuhan 430074, ChinaSchool of Mechanical Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, ChinaThis paper addresses the asynchronous stabilization problem of two typical stochastic switching systems, i.e., dual switching systems and semi-Markov jump systems. By dual switching, it means that the systems contain both deterministic and stochastic switching dynamics. New stability criteria are firstly proposed for these two switched systems, which can well handle the asynchronous phenomenon. The conditional expectation of Lyapunov functions is allowed to increase during some unmatched interval to reduce the conservatism. Next, we present numerically testable asynchronous controller design methods for the dual switching systems. The proposed method is suitable for the situation where the asynchronous modes come from both inaccurate mode detection and time varying delay. Meanwhile, the transition probabilities are both uncertain and partly accessible. Finally, novel asynchronous controller design methods are proposed for the semi-Markov jump systems. The sojourn time of the semi-Markov jump systems can have both lower and upper bounds, which could be more practical than previous scenarios. Examples are utilized to demonstrate the effectiveness of the proposed methods.https://www.mdpi.com/1099-4300/24/8/1126asynchronous stabilizationMarkov jump systemstochastic switching systemscontrol system |
| spellingShingle | Yushu Deng Shihao Wang Shiqi Zheng Haiming Li Haitao Jian Xiaoqi Tang Asynchronous Stabilization for Two Classes of Stochastic Switching Systems with Applications on Servo Motors Entropy asynchronous stabilization Markov jump system stochastic switching systems control system |
| title | Asynchronous Stabilization for Two Classes of Stochastic Switching Systems with Applications on Servo Motors |
| title_full | Asynchronous Stabilization for Two Classes of Stochastic Switching Systems with Applications on Servo Motors |
| title_fullStr | Asynchronous Stabilization for Two Classes of Stochastic Switching Systems with Applications on Servo Motors |
| title_full_unstemmed | Asynchronous Stabilization for Two Classes of Stochastic Switching Systems with Applications on Servo Motors |
| title_short | Asynchronous Stabilization for Two Classes of Stochastic Switching Systems with Applications on Servo Motors |
| title_sort | asynchronous stabilization for two classes of stochastic switching systems with applications on servo motors |
| topic | asynchronous stabilization Markov jump system stochastic switching systems control system |
| url | https://www.mdpi.com/1099-4300/24/8/1126 |
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