A Novel Fast Convergence Control Scheme for a Class of 3D Chaotic Systems with Uncertain Parameters and External Disturbances. (8th January 2020)

• Record Type: Journal Article
• Authors: Su, Haipeng; Luo, Runzi; Xu, Ling; Huang, Meichun; Fu, Jiaojiao
• Other Names: Nguang Sing Kiong Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-01-08
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/7613970
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This paper studies the control of a class of 3D chaotic systems with uncertain parameters and external disturbances. A new method which is referred as the analytical solution approach is firstly proposed for constructing Lyapunov function. Then, for suppressing the trajectories of the 3D chaotic system to its equilibrium point 0 0, 0, 0, a novel fast convergence controller containing parameter λ which determines the convergence rate of the system is presented. By using the designed Lyapunov function, the stability of the closed-loop system is proved via the Lyapunov stability theorem. Computer simulations are employed to a new chaotic system to illustrate the effectiveness of the theoretical results.