Title :
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
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;
Conference_Titel :
Mechatronics and Control (ICMC), 2014 International Conference on
Print_ISBN :
978-1-4799-2537-7
DOI :
10.1109/ICMC.2014.7231521
