Non-fragile sliding mode control for one-sided Lipschitz chaotic systems

Jun Huang; Genke Yang; Zhijun Fang; Qianqian Duan; Changjiang Ju; Xiumin Gao

doi:10.1016/j.isatra.2020.07.038

Non-fragile sliding mode control for one-sided Lipschitz chaotic systems

ISA Trans. 2022 May:124:311-317. doi: 10.1016/j.isatra.2020.07.038. Epub 2020 Aug 27.

Authors

Jun Huang¹, Genke Yang², Zhijun Fang³, Qianqian Duan⁴, Changjiang Ju⁵, Xiumin Gao⁶

Affiliations

¹ School of Mechanical and Electrical Engineering, Soochow University, Suzhou, 215021, China.
² Department of Automation, Shanghai Jiao Tong University, Dongchuan Road 800, Shanghai, China; Ningbo Institute of Artificial Intelligence, Shanghai Jiaotong University, Ningbo, China. Electronic address: gkyang@sjtu.edu.cn.
³ Department of Automation, Shanghai University of Engineering Science, Longteng Road, Shanghai, China. Electronic address: zjfang@sues.edu.cn.
⁴ Department of Automation, Shanghai University of Engineering Science, Longteng Road, Shanghai, China.
⁵ Shanghai Electrical Apparatus Research Institute, Shanghai, China.
⁶ University of Shanghai for Science and Technology, Jungong Road, Shanghai, China.

PMID: 33041010
DOI: 10.1016/j.isatra.2020.07.038

Abstract

This paper deals with the sliding mode stabilization for chaotic systems. In the system under consideration, the nonlinear function is one-sided Lipschitz with quadratic inner-boundedness. Specifically, a non-fragile sliding mode surface is constructed, and the sufficient condition for the convergence is derived. Then, a new feedback law is proposed to enable the state trajectories of the closed-loop system to reach the sliding mode surface in finite time. Finally, an example in the background of the unified chaos system is simulated to show the validation of the designed controller.

Keywords: Chaotic system; One-sided Lipschitz; Sliding mode control.