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