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Finite-time synchronization of delayed semi-Markov reaction-diffusion systems: An asynchronous boundary control
Angang Wei1, Zhongyuan Yao2, Yu Zhang2
1China Huaneng Group Clean Energy Technology Research Institute Co., Ltd., China; Department of Mechanical Engineering, Tsinghua University, Beijing 102209, China.
ISA Transactions
|April 3, 2024
Summary
This study introduces an asynchronous boundary control for delayed semi-Markov systems, achieving finite-time synchronization efficiently. The method uses a single boundary actuator and dual asynchronous controllers for practical implementation.
Area of Science:
- Control Theory
- Nonlinear Systems
- Stochastic Systems
Background:
- Delayed semi-Markov reaction-diffusion systems present challenges in achieving finite-time synchronization.
- Existing control strategies often require complex implementations or are less practical.
Purpose of the Study:
- To develop a novel asynchronous boundary control scheme for finite-time synchronization of delayed semi-Markov reaction-diffusion systems.
- To enhance practical implementation and economic feasibility of control strategies.
Main Methods:
- Proposed a new asynchronous boundary control scheme utilizing a single spatial boundary actuator.
- Introduced dual asynchronous semi-Markov chains for system parameters and controller jumps.
- Developed a new finite-time stability lemma and derived synchronization criteria using inequality methods and variable substitution.
Main Results:
- Successfully ensured finite-time synchronization of drive and response systems.
- Demonstrated the practical advantages of the boundary control scheme (easier implementation, economical).
- Validated the approach through numerical and secure communication application examples.
Conclusions:
- The proposed asynchronous boundary control scheme is effective for finite-time synchronization of delayed semi-Markov reaction-diffusion systems.
- The dual asynchronous semi-Markov chains offer a more practical modeling approach.
- The method provides a robust and efficient solution for synchronization problems in complex systems.
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