Adaptive-Critic Design for Decentralized Event-Triggered Control of Constrained Nonlinear Interconnected Systems Within an Identifier-Critic Framework

• Published in: IEEE transactions on cybernetics Vol. 52; no. 8; pp. 7478 - 7491
• Main Authors: Huo, Xin, Karimi, Hamid Reza, Zhao, Xudong, Wang, Bohui, Zong, Guangdeng
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.08.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Adaptive-critic design (ACD); Aerodynamics; Computer architecture; Control theory; Cost function; decentralized control; Event triggered control; Heuristic algorithms; identifier-critic network; input constraints; Interconnected systems; Mathematical model; Network architecture; Nonlinear control; Nonlinear systems; Optimal control; Subsystems; System dynamics; triggering mechanism
• ISSN: 2168-2267; 2168-2275; 2168-2275
• DOI: 10.1109/TCYB.2020.3037321

This article studies the decentralized event-triggered control problem for a class of constrained nonlinear interconnected systems. By assigning a specific cost function for each constrained auxiliary subsystem, the original control problem is equivalently transformed into finding a series of optimal control policies updating in an aperiodic manner, and these optimal event-triggered control laws together constitute the desired decentralized controller. It is strictly proven that the system under consideration is stable in the sense of uniformly ultimate boundedness provided by the solutions of event-triggered Hamilton-Jacobi-Bellman equations. Different from the traditional adaptive critic design methods, we present an identifier-critic network architecture to relax the restrictions posed on the system dynamics, and the actor network commonly used to approximate the optimal control law is circumvented. The weights in the critic network are tuned on the basis of the gradient descent approach as well as the historical data, such that the persistence of excitation condition is no longer needed. The validity of our control scheme is demonstrated through a simulation example.