scholarly journals Synchronization of Fractional-Order Chaotic Systems with Model Uncertainty and External Disturbance

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 877
Author(s):  
Rongwei Guo ◽  
Yaru Zhang ◽  
Cuimei Jiang
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Model Uncertainty ◽  
Chaotic Systems ◽  
Control Method ◽  
External Disturbance ◽  
Dynamic Feedback ◽  
Complete Synchronization ◽  
Feedback Control Method ◽  
Dynamic Feedback Control

This paper is concerned with complete synchronization of fractional-order chaotic systems with both model uncertainty and external disturbance. Firstly, we propose a new dynamic feedback control method for complete synchronization of fractional-order nominal systems (without both uncertainty and disturbance). Then, a new uncertainty and disturbance estimator (UDE)-based dynamic feedback control method for the fractional-order systems with both uncertainty and disturbance is presented, by which the synchronization problem of such fractional-order chaotic systems is realized. Finally, the fractional-order Lorenz system is used to demonstrate the practicability of the proposed results.

scholarly journals Partial Anti-Synchronization of the Fractional-Order Chaotic Systems through Dynamic Feedback Control

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 718
Author(s):  
Runlong Peng ◽  
Cuimei Jiang ◽  
Rongwei Guo
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Control Method ◽  
Dynamic Feedback ◽  
Synchronization Problem ◽  
Feedback Control Method ◽  
Single Input ◽  
Dynamic Feedback Control ◽  
Necessary And Sufficient

This paper investigates the partial anti-synchronization problem of fractional-order chaotic systems through the dynamic feedback control method. Firstly, a necessary and sufficient condition is proposed, by which the existence of the partial anti-synchronization problem is proved. Then, an algorithm is given and used to obtain all solutions of this problem. Moreover, the partial anti-synchronization problem of the fractional-order chaotic systems is realized through the dynamic feedback control method. It is noted that the designed controllers are single-input controllers. Finally, two illustrative examples with numerical simulations are used to verify the correctness and effectiveness of the proposed results.

scholarly journals Antisynchronization of the Hyperchaotic Systems with Uncertainty and Disturbance Using the UDE-Based Control Method

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Zuoxun Wang ◽  
Xiaotong Yu ◽  
Guijuan Wang
Keyword(s):  
Feedback Control ◽  
Control Method ◽  
External Disturbance ◽  
Hyperchaotic System ◽  
Dynamic Feedback ◽  
Disturbance Estimation ◽  
Feedback Control Method ◽  
Dynamic Feedback Control ◽  
Hyperchaotic Systems ◽  
Uncertainty And Disturbance Estimation

In this paper, we investigate the antisynchronization problem of a class of hyperchaotic systems with both model uncertainty and external disturbance. Firstly, combining the dynamic feedback control method and the uncertainty and disturbance estimation (UDE)-based control method, we propose a new UDE-based dynamic feedback control method. Secondly, we take the 4D hyperchaotic system as an example and realize the antisynchronization problem of such system. Finally, the effectiveness and correctness of the proposed method is verified by numerical simulation.

scholarly journals Two Types of Synchronization Problems in a New 5D Hyperchaotic System

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Bin Li ◽  
Xue Yang ◽  
Qixing Liang ◽  
Zhi Li
Keyword(s):  
Feedback Control ◽  
Control Method ◽  
Hyperchaotic System ◽  
Dynamic Feedback ◽  
Complete Synchronization ◽  
Synchronization Problem ◽  
Feedback Control Method ◽  
Dynamic Feedback Control ◽  
Theoretical Results ◽  
Synchronization Problems

This paper investigates the synchronization problem in a new 5D hyperchaotic system. Firstly, the existence of two types of synchronization problems in the new 5D hyperchaotic system is proved. Then, by the dynamic feedback control method, one complete synchronization problem and three coexistence of complete synchronization and antisynchronization problems in such system are realized. Finally, numerical simulations are used to verify the validity and effectiveness of the theoretical results.

scholarly journals Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Zhi Liu ◽  
Rongwei Guo
Keyword(s):  
Feedback Control ◽  
Chaotic System ◽  
Control Method ◽  
Linear Feedback ◽  
Dynamic Feedback ◽  
Feedback Control Method ◽  
Dynamic Feedback Control ◽  
Complex Chaotic Systems ◽  
Complex Chaotic System ◽  
Theoretical Results

The stabilization problem of the complex chaotic system is investigated in this paper. First, a systematic method is proposed, by which a given complex chaotic system can be transformed into its equivalent real chaotic system. Then, both simple and physical controller is designed for the corresponding real chaotic system by the dynamic feedback control method, thereby the controller for the original complex chaotic system is obtained. Especially, for some complex system, the controller is obtained by the linear feedback control method. Finally, two illustrative examples with numerical simulations are used to verify the validity and effectiveness of the theoretical results.

Stabilization of a Class of Chaotic Systems via Single-State Adaptive Feedback Controller

2014 ◽  
Vol 571-572 ◽  
pp. 965-968
Author(s):  
De Gang Yang ◽  
Guo Ying Qiu
Keyword(s):  
Feedback Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Feedback Controller ◽  
Control Analysis ◽  
Adaptive Feedback ◽  
Adaptive Feedback Control ◽  
Feedback Control Method ◽  
Single State ◽  
System States

This paper investigates the application of the adaptive feedback control method in the chaotic system and Single-state Adaptive Feedback Controller. We divide the adaptive feedback controller into several items, each of which has only one component of the system states as feedback input into each dimension of the system. With the introduction of single-state controller, the scale of control inputs can be flexibly adjusted, the additional loading reduced, better convergence effect obtained and the application field of adaptive feedback control methods further extended in stable control analysis of chaotic systems. An example is also given to illustrate the validity of our result.

scholarly journals State-Feedback Control for Fractional-Order Nonlinear Systems Subject to Input Saturation

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Junhai Luo
Keyword(s):  
Feedback Control ◽  
Nonlinear Systems ◽  
Fractional Order ◽  
State Feedback ◽  
Control Method ◽  
Input Saturation ◽  
State Feedback Control ◽  
Sufficient Condition ◽  
Feedback Control Method ◽  
Linear State

We give a state-feedback control method for fractional-order nonlinear systems subject to input saturation. First, a sufficient condition is derived for the asymptotical stability of a class of fractional-order nonlinear systems. Then based on Gronwall-Bellman lemma and a sector bounded condition of the saturation function, a linear state-feed back controller is designed. Finally, two simulation examples are presented to show the validity of the proposed method.

CHAOS MULTISCALE-SYNCHRONIZATION BETWEEN TWO DIFFERENT FRACTIONAL-ORDER HYPERCHAOTIC SYSTEMS BASED ON FEEDBACK CONTROL

2013 ◽  
Vol 23 (08) ◽  
pp. 1350146 ◽  
Author(s):  
LIN PAN ◽  
ZHIHONG GUAN ◽  
LONG ZHOU
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Control Method ◽  
Hyperchaotic System ◽  
Nonlinear Feedback ◽  
Control Functions ◽  
Short Period ◽  
Feedback Control Method ◽  
Linear And Nonlinear ◽  
Hyperchaotic Systems

In this paper, the chaos multiscale-synchronization between two different Fractional-order Hyperchaotic System (FOHCS)s have been investigated. The Lü-like and its FOHCS are also studied. The Lü-like FOHCS is controlled to be multiscale-synchronization with Liu FOHCS and new Lorenz FOHCS, respectively. The analytical conditions for the multiscale-synchronization of these pairs of different FOHCSs are derived by utilizing Laplace transform. Furthermore, multiscale-synchronization between two different FOHCSs is achieved by utilizing the different linear and nonlinear feedback control method in a short period and both remain in chaotic states. Numerical simulations are used to verify the theoretical analysis using different values of the fractional-order parameter and the different linear and nonlinear control functions.

scholarly journals Composite Observer Based Output Feedback Control for Multiple Constraints Manipulator

2021 ◽  
Author(s):  
Du Xu ◽  
Xinjiang Lu
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Control Method ◽  
Dead Zone ◽  
External Disturbance ◽  
Output Feedback Control ◽  
Multiple Constraints ◽  
Composite State ◽  
Feedback Control Method ◽  
Adaptive Control Strategy

Abstract It is a big challenge to control the manipulator, due to disturbances and some unmeasurable states. To alleviate thischallenge, a composite observer based output feedback control method is developed in this paper. It first proposes a composite state/disturbance observer to simultaneously estimate the unmeasurable states and external disturbance. On this basis, a output feedback adaptive control strategy is developed to achieve the desired performance under the multiple constraints, an integral Lyapunov candidate function is used to deal with input dead zone and output saturation . Moreover, the stability of the developed controller is analyzed and proved. Finally, Experiment s on a 2 DOF(degree of freedom)manipulator is used to verify the feasibility of the proposed control method. The results show that the proposed control method can effectively achieve the desirable control performance. Compared with several commonly used control methods, the proposed method shows the superiority.

Sign in / Sign up

Export Citation Format

Share Document