Adaptive control of discrete-time chaotic systems: a fuzzy control approach

2005 ◽  
Vol 23 (2) ◽  
pp. 459-467 ◽  
Author(s):  
Gang Feng ◽  
Guanrong Chen
Keyword(s):  
Adaptive Control ◽  
Fuzzy Control ◽  
Discrete Time ◽  
Chaotic Systems ◽  
Control Approach

Robust Adaptive Control Scheme for Discrete-Time System With Actuator Failures

2004 ◽  
Vol 127 (3) ◽  
pp. 520-526 ◽  
Author(s):  
Juntao Fei ◽  
Shuhao Chen ◽  
Gang Tao ◽  
Suresh M. Joshi
Keyword(s):  
Adaptive Control ◽  
Discrete Time ◽  
System Performance ◽  
Linear Time ◽  
Adaptive Controller ◽  
Robust Adaptive Control ◽  
Discrete Time System ◽  
Control Approach ◽  
Actuator Failures ◽  
Robust Adaptive

A robust adaptive control approach using output feedback for output tracking is developed for discrete-time linear time-invariant systems with uncertain failures of redundant actuators in the presence of the unmodeled dynamics and bounded output disturbance. Such actuator failures are characterized by some unknown inputs stuck at some unknown fixed values at unknown time instants. Technical issues such as plant-model output matching, adaptive controller structure, adaptive parameter update laws, stability and tracking analysis, and robustness of system performance are solved for the discrete-time adaptive actuator failure compensation problem. A case study is conducted for adaptive compensation of rudder servomechanism failures of a Boeing 747 dynamic model presented in discrete time, verifying the desired adaptive system performance in the presence of uncertain actuator failures.

GENERALIZED (LAG, ANTICIPATED AND COMPLETE) PROJECTIVE SYNCHRONIZATION IN TWO NONIDENTICAL CHAOTIC SYSTEMS WITH UNKNOWN PARAMETERS

2012 ◽  
Vol 26 (16) ◽  
pp. 1250121
Author(s):  
XINGYUAN WANG ◽  
LULU WANG ◽  
DA LIN
Keyword(s):  
Adaptive Control ◽  
Chaotic Systems ◽  
Lorenz System ◽  
Control Method ◽  
Projective Synchronization ◽  
Unknown Parameters ◽  
Chen System ◽  
Control Approach ◽  
Response System ◽  
Hyperchaotic Lorenz System

In this paper, a generalized (lag, anticipated and complete) projective synchronization for a general class of chaotic systems is defined. A systematic, powerful and concrete scheme is developed to investigate the generalized (lag, anticipated and complete) projective synchronization between the drive system and response system based on the adaptive control method and feedback control approach. The hyperchaotic Chen system and hyperchaotic Lorenz system are chosen to illustrate the proposed scheme. Numerical simulations are provided to show the effectiveness of the proposed schemes. In addition, the scheme can also be extended to research generalized (lag, anticipated and complete) projective synchronization between nonidentical discrete-time chaotic systems.

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