Stabilization of Fractional Order Unified Chaotic Systems via Linear State Feedback Controller

2011 ◽  
pp. 85-94
Author(s):  
E. G. Razmjou ◽  
A. Ranjbar ◽  
Z. Rahmani ◽  
R. Ghaderi ◽  
S. Momani
Keyword(s):  
Fractional Order ◽  
State Feedback ◽  
Chaotic Systems ◽  
Feedback Controller ◽  
State Feedback Controller ◽  
Unified Chaotic Systems ◽  
Linear State

scholarly journals Adaptive Inverse Optimal Control of a Novel Fractional-Order Four-Wing Hyperchaotic System with Uncertain Parameter and Circuitry Implementation

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Chaojun Wu ◽  
Gangquan Si ◽  
Yanbin Zhang ◽  
Ningning Yang
Keyword(s):  
Optimal Control ◽  
Fractional Order ◽  
State Feedback ◽  
Feedback Controller ◽  
Uncertain Parameter ◽  
Hyperchaotic System ◽  
Inverse Optimal Control ◽  
State Feedback Controller ◽  
Oscillation Circuit ◽  
Order Four

An efficient approach of inverse optimal control and adaptive control is developed for global asymptotic stabilization of a novel fractional-order four-wing hyperchaotic system with uncertain parameter. Based on the inverse optimal control methodology and fractional-order stability theory, a control Lyapunov function (CLF) is constructed and an adaptive state feedback controller is designed to achieve inverse optimal control of a novel fractional-order hyperchaotic system with four-wing attractor. Then, an electronic oscillation circuit is designed to implement the dynamical behaviors of the fractional-order four-wing hyperchaotic system and verify the satisfactory performance of the controller. Comparing with other fractional-order chaos control methods which may have more than one nonlinear state feedback controller, the inverse optimal controller has the advantages of simple structure, high reliability, and less control effort that is required and can be implemented by electronic oscillation circuit.

Control of Chaos via Fractional-Order State Feedback Controller

2010 ◽  
pp. 511-519 ◽  
Author(s):  
Seyed Hassan Hosseinnia ◽  
Reza Ghaderi ◽  
Abolfazl Ranjbar ◽  
Farzad Abdous ◽  
Shaher Momani
Keyword(s):  
Fractional Order ◽  
State Feedback ◽  
Feedback Controller ◽  
Control Of Chaos ◽  
State Feedback Controller ◽  
Order State
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