Asynchronous sliding mode control for Markovian jumping systems in finite-time intervals

WEI Changjiang; CHEN Qiaoyu

doi:10.12299/jsues.23-0067

Volume 37 Issue 3

Sep. 2023

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Article Navigation > Journal of Shanghai University of Engineering Science > 2023 > 37(3): 272-280

WEI Changjiang, CHEN Qiaoyu. Asynchronous sliding mode control for Markovian jumping systems in finite-time intervals[J]. Journal of Shanghai University of Engineering Science, 2023, 37(3): 272-280. doi: 10.12299/jsues.23-0067

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WEI Changjiang, CHEN Qiaoyu. Asynchronous sliding mode control for Markovian jumping systems in finite-time intervals[J]. Journal of Shanghai University of Engineering Science, 2023, 37(3): 272-280. doi: 10.12299/jsues.23-0067

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Asynchronous sliding mode control for Markovian jumping systems in finite-time intervals

doi: 10.12299/jsues.23-0067

WEI Changjiang,
CHEN Qiaoyu^,

School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2023-03-18
Publish Date: 2023-09-30

Abstract

Abstract

The problem of asynchronous sliding mode control in finite-time intervals was studied for Markovian jumping systems. A mode-dependent sliding mode surface function was designed based on the hidden Markov model for the unmeasurable non-synchronization phenomenon. A sliding mode controller was designed to drive the state trajectory of the system to the specified sliding mode surface in a specified finite-time. Through the finite-time analysis method, the finite-time boundedness criterion of sliding mode dynamics in the arrival stage and sliding motion stage was gained, sufficient conditions for the solution of the asynchronous controller gain matrix were obtained. Finally, a single-link robot arm model was used to demonstrate the effectiveness of the results.
- sliding mode control,
- finite-time bounded,
- hidden Markov model,
- asynchronous control,
- Markovian jumping systems

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References

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