Adaptive Predefined-Time Control for L Chaotic Systems via Backstepping Approach

作     者：Pan, Yingnan Ji, Weiyu Liang, Hongjing 

作者机构：Bohai Univ Coll Control Sci & Engn Jinzhou 121013 Liaoning Peoples R China Univ Elect Sci & Technol China Sch Automat Engn Chengdu 611731 Sichuan Peoples R China 

出 版 物：《IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS》 (IEEE Trans. Circuits Syst. Express Briefs)

年 卷 期：2022年第69卷第12期

页      面：5064-5068页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 

基　　金：National Natural Science Foundation of China 

主　　题：Adaptive control Lu chaotic systems predefined-time control 

摘      要：This brief focuses on the adaptive predefined-time backstepping control for Lu chaotic systems with an unknown parameter. Different from the existing research on convergencetime control for chaotic systems, based on the backstepping technique, an improved predefined-time stable lemma for strictfeedback systems is proposed, which can achieve precise control about convergence time. Moreover, a predefined-time control scheme is designed using the proposed lemma to suppress the chaotic phenomenon and stabilize the Lu chaotic systems with predefined time. And, a novel adaptive updating law is designed to make the derivative of Lyapunov function satisfy the predefined-time stable form. The stability analysis proves that the signals in the Lu chaotic system are predefined-time stable and the convergence time can be specified by the user. Finally, a simulation example is provided to prove the effectiveness of the presented predefined-time control scheme.