Adaptive fuzzy control for a class of chaotic discrete-time system

Author

Ying Gao ; Yan-Jun Liu

Author_Institution

Coll. of Sci., Liaoning Univ. of Technol., Jinzhou, China

fYear

2014

Firstpage

81

Lastpage

83

Abstract

The direct heuristic dynamic programming (HDP) is used to handle the optimal tracking control for the Henon Mapping chaotic system. The fuzzy logic system (FLS) is applied to measure the long-term utility function. Lyapunov analysis approach is utilized to assure the stability of the chaotic system. Results have proven that the tracking error, the adaptation law and the control input of the system retain uniform ultimate boundedness.

Keywords

Henon mapping; Lyapunov methods; adaptive control; chaos; discrete time systems; dynamic programming; fuzzy control; nonlinear control systems; optimal control; FLS; Henon mapping chaotic system; Lyapunov analysis approach; adaptation law; adaptive fuzzy control; chaotic discrete-time system; direct HDP; direct heuristic dynamic programming; fuzzy logic system; long-term utility function; optimal tracking control; stability; tracking error; uniform ultimate boundedness; Adaptive systems; Chaos; Dynamic programming; Fuzzy logic; Learning (artificial intelligence); Neural networks; Optimal control; Adaptive control; Chaotic system; Direct heuristic dynamic programming; The Lyapunov analysis; The fuzzy logic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronics and Control (ICMC), 2014 International Conference on

Print_ISBN

978-1-4799-2537-7

Type

conf

DOI

10.1109/ICMC.2014.7231521

Filename

7231521