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Event-triggered decentralized adaptive critic learning control for interconnected systems with nonlinear inequality
Wenqian Du1, Mingduo Lin2, Guoling Yuan3
1School of Systems Science, Beijing Normal University, Beijing, 100875, China; Traffic Management Bureau of Wuhan Public Security Bureau, Wuhan, 430030, China.
A new event-triggered decentralized adaptive critic learning (ACL) control method addresses nonlinear constraints in interconnected systems. This approach optimizes resource usage by updating control policies only when necessary, ensuring system stability.
Area of Science:
- Control Systems Engineering
- Artificial Intelligence
- Nonlinear Dynamics
Background:
- Interconnected systems often face complex nonlinear state constraints.
- Decentralized control strategies are crucial for managing large-scale systems.
- Adaptive critic learning (ACL) offers a powerful framework for optimal control.
Purpose of the Study:
- To propose an event-triggered decentralized adaptive critic learning (ACL) control method.
- To handle nonlinear inequality state constraints in interconnected systems.
- To enhance computational and communication efficiency.
Main Methods:
- Transforming nonlinear inequality constraints into equality constraints using slack functions.
- Developing decentralized control laws via local policy iteration and Hamilton-Jacobi-Bellman equations.
- Implementing a novel event-triggering mechanism for resource-efficient control updates.
Main Results:
- Successfully derived event-triggered decentralized control laws for isolated subsystems.
- Developed an overall optimal control strategy for the entire interconnected system.
- Guaranteed uniform ultimate boundedness for the closed-loop system and neural network weight estimation errors.
Conclusions:
- The proposed event-triggered ACL method effectively manages nonlinear constraints in interconnected systems.
- The method significantly reduces computational and communication overhead.
- Simulation results validate the approach's effectiveness and stability guarantees.
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