Finite-time stabilization of chaotic gyros based on a homogeneous supertwisting-like algorithm

8th TSME-International Conference on Mechanical Engineering

Khamsuwan, Pitcha^1 ; Sangpet, Teerawat^1 ; Kuntanapreeda, Suwat^1

Department of Mechanical and Aerospace Engineering, King Mongkut's University of Technology North Bangkok, Bangkok

10800, Thailand^1

关键词: Chaotic gyros;    Continuous control;    Dissipativeness;    Finite time stabilization;    Finite-time convergence;    Lipschitz property;    Numerical results;    Super-twisting;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/297/1/012038/pdf
DOI  :  10.1088/1757-899X/297/1/012038

来源: IOP

【 摘 要 】

This paper presents a finite-time stabilization scheme for nonlinear chaotic gyros. The scheme utilizes a supertwisting-like continuous control algorithm for the systems of dimension more than one with a Lipschitz disturbance. The algorithm yields finite-time convergence similar to that produces by discontinuous sliding mode control algorithms. To design the controller, the nonlinearities in the gyro are treated as a disturbance in the system. Thanks to the dissipativeness of chaotic systems, the nonlinearities also possess the Lipschitz property. Numerical results are provided to illustrate the effectiveness of the scheme.