scholarly journals An Adaptive Tracking Control of Fractional-Order Chaotic Systems with Uncertain System Parameter

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
Ping Zhou ◽  
Rui Ding
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Tracking Control ◽  
System Parameter ◽  
Chaotic Systems ◽  
Reference Signal ◽  
Uncertain System ◽  
Uncertain Parameter ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking

An adaptive tracking control scheme is presented for fractional-order chaotic systems with uncertain parameter. It is theoretically proved that this approach can make the uncertain parameter fractional-order chaotic system track any given reference signal and the uncertain system parameter is estimated through the adaptive tracking control process. Furthermore, the reference signal may belong to other integer-orders chaotic system or belong to different fractional-order chaotic system with different fractional orders. Two examples are presented to demonstrate the effectiveness of the proposed method.

Adaptive tracking control for a class of uncertain switched nonlinear systems with time-delay

2016 ◽  
Vol 40 (4) ◽  
pp. 1102-1108 ◽  
Author(s):  
Hongmin Li ◽  
Xinyong Wang
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Tracking Control ◽  
Reference Signal ◽  
Switched Nonlinear Systems ◽  
Nonlinear Functions ◽  
Common Lyapunov Function ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking ◽  
Logic System

This paper focuses on the problem of adaptive tracking control for switched nonlinear systems with time-delay and unknown functions under arbitrary switchings. Based on the adaptive backstepping technique and common Lyapunov function an approach to a class of adaptive fuzzy controllers is designed. The fuzzy logic system is used to approximate the unknown nonlinear functions. The proposed controller guarantees that the output can converge to a small neighbourhood of the reference signal and ensure all of the signals are bounded. A numerical example is provided to demonstrate the effectiveness of the paper.

scholarly journals Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Chunhua Cheng ◽  
Fengjuan Gao ◽  
Jingshuo Xu ◽  
Yuanxin Wang ◽  
Tao Yuan
Keyword(s):  
Chaotic System ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Tracking Control ◽  
Input Saturation ◽  
Lyapunov Stability Theory ◽  
Control Law ◽  
Uncertain Parameters ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking

In this paper, tracking controller and synchronization controller of the Arneodo chaotic system with uncertain parameters and input saturation are considered. An adaptive tracking control law and an adaptive synchronization control law are proposed based on backstepping and Lyapunov stability theory. The adaptive laws of the unknown parameters are derived by using the Lyapunov stability theory. To handle the effect caused by the input saturation, an auxiliary system is used to compensate the tracking error and synchronization error. The proposed adaptive tracking control and synchronization schemes ensure the effects of tracking and synchronization. Several examples have been detailed to illuminate the design procedure.

Adaptive tracking control for a class of uncertain chaotic systems

2007 ◽  
Vol 16 (9) ◽  
pp. 2627-2630
Author(s):  
Chen Feng-Xiang ◽  
Wang Wei ◽  
Zhang Wei-Dong
Keyword(s):  
Tracking Control ◽  
Chaotic Systems ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking ◽  
Uncertain Chaotic Systems

scholarly journals A new method of adaptive tracking control for chaotic system

2009 ◽  
Vol 58 (11) ◽  
pp. 7532
Author(s):  
Luo Xiao-Hua ◽  
Li Hua-Qing ◽  
Chen Qiu-Hua
Keyword(s):  
Chaotic System ◽  
Tracking Control ◽  
New Method ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking

scholarly journals A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Yinlan Chen ◽  
Haodong Zhang ◽  
Xu Kong
Keyword(s):  
Fractional Order ◽  
Tracking Control ◽  
Dynamical Behavior ◽  
Order System ◽  
Periodic Signal ◽  
Heterogeneous Structure ◽  
Hyperchaotic System ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking ◽  
Adaptive Control Strategy

We construct for the first time a fractional-order hyperchaotic system via the original integer-order system. The dynamical behavior of this fractional-order hyperchaotic system is investigated in detail using first approximation method and Lyapunov exponents. Next, an adaptive control strategy for the univariate controlled hyperchaotic system has been proposed. Also, the tracking performance is fully taken into account in numerous applications, for instance, tracking sinusoidal periodic signal, self-synchronization, and generalized synchronization of heterogeneous structure. Simulation results illustrate the validity and performability of the proposed adaptive tracking control scheme.

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