Adaptive fixed-time control for Lorenz systems

被引：23

作者：

Wang, Huanqing ^{[1
]}

Yue, Hanxue ^{[1
]}

Liu, Siwen ^{[1
]}

Li, Tieshan ^{[2
,3
]}

机构：

[1] Bohai Univ, Coll Math Sci, Jinzhou 121000, Liaoning, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Peoples R China

[3] Dalian Maritime Univ, Sch Nav Coll, Dalian 116026, Peoples R China

来源：

NONLINEAR DYNAMICS | 2020年 / 102卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Adaptive backstepping control; Fixed-time control; Lorenz system; FINITE-TIME; NONLINEAR-SYSTEMS; BACKSTEPPING CONTROL; FEEDBACK-CONTROL; STABILIZATION; SYNCHRONIZATION; DESIGN;

D O I：

10.1007/s11071-020-06061-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper focuses on the problem of fixed-time chaos suppression and stabilization of a class of Lorenz systems with uncertain parameters. Based on the fixed-time stability theory, adaptive control and backstepping algorithm, a novel adaptive practical fixed-time controller is proposed. It is shown that the presented control scheme can guarantee that all the signals of the closed-loop system are bounded and chaotic phenomenon is suppressed in the fixed time. Both the theoretical analysis and simulation results verify the effectiveness of the proposed control strategy.

引用

页码：2617 / 2625

页数：9

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