Event-Triggered Adaptive Dynamic Programming for Non-Zero-Sum Games of Unknown Nonlinear Systems via Generalized Fuzzy Hyperbolic Models

In this paper, by incorporating the event-triggered mechanism and the adaptive dynamic programming algorithm, a novel near-optimal control scheme for a class of unknown nonlinear continuous-time non-zero-sum (NZS) differential games is investigated. First, a generalized fuzzy hyperbolic model based...

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Published in:IEEE transactions on fuzzy systems Vol. 27; no. 11; pp. 2202 - 2214
Main Authors: Zhang, Huaguang, Su, Hanguang, Zhang, Kun, Luo, Yanhong
Format: Journal Article
Language:English
Published: New York IEEE 01.11.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Adaptation models
Adaptive algorithms
Adaptive control
adaptive critic design
Adaptive dynamic programming (ADP)
Computational modeling
Computer simulation
Control stability
Differential games
Dynamic programming
event-triggered control (ETC)
Fuzzy systems
Games
generalized fuzzy hyperbolic models (GFHM)
Heuristic algorithms
Mathematical model
non-zero-sum (NZS) games
Nonlinear systems
Optimal control
System dynamics
Zero sum games
ISSN:1063-6706, 1941-0034
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Abstract In this paper, by incorporating the event-triggered mechanism and the adaptive dynamic programming algorithm, a novel near-optimal control scheme for a class of unknown nonlinear continuous-time non-zero-sum (NZS) differential games is investigated. First, a generalized fuzzy hyperbolic model based identifier is established, using only the input-output data, to relax the requirement for the complete system dynamics. Then, under the event-based framework, the coupled Hamilton-Jacobi equations are derived for the multiplayer NZS games. Then, the adaptive critic design method is employed to approximate the optimal control policies; thus, an identifier-critic architecture is developed to obtain the event-triggered controller. By the virtue of the Lyapunov theory, a state-dependent triggering condition, which is different from the existing works, is developed to achieve the stability of the closed-loop control system both for the continuous and jump dynamics. Finally, two numerical examples are simulated to substantiate the feasibility of the analytical design.
AbstractList In this paper, by incorporating the event-triggered mechanism and the adaptive dynamic programming algorithm, a novel near-optimal control scheme for a class of unknown nonlinear continuous-time non-zero-sum (NZS) differential games is investigated. First, a generalized fuzzy hyperbolic model based identifier is established, using only the input-output data, to relax the requirement for the complete system dynamics. Then, under the event-based framework, the coupled Hamilton-Jacobi equations are derived for the multiplayer NZS games. Then, the adaptive critic design method is employed to approximate the optimal control policies; thus, an identifier-critic architecture is developed to obtain the event-triggered controller. By the virtue of the Lyapunov theory, a state-dependent triggering condition, which is different from the existing works, is developed to achieve the stability of the closed-loop control system both for the continuous and jump dynamics. Finally, two numerical examples are simulated to substantiate the feasibility of the analytical design.
Author Zhang, Kun
Zhang, Huaguang
Su, Hanguang
Luo, Yanhong
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SubjectTerms Adaptation models
Adaptive algorithms
Adaptive control
adaptive critic design
Adaptive dynamic programming (ADP)
Computational modeling
Computer simulation
Control stability
Differential games
Dynamic programming
event-triggered control (ETC)
Fuzzy systems
Games
generalized fuzzy hyperbolic models (GFHM)
Heuristic algorithms
Mathematical model
non-zero-sum (NZS) games
Nonlinear systems
Optimal control
System dynamics
Zero sum games
Title Event-Triggered Adaptive Dynamic Programming for Non-Zero-Sum Games of Unknown Nonlinear Systems via Generalized Fuzzy Hyperbolic Models
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