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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Bibliographic Details
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
Online Access:Get full text
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Summary: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.
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ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2019.2896544