Robust control for incremental quadratic constrained nonlinear time-delay systems subject to actuator saturation

被引：14

作者：

Huang, Jun ^{[1
]}

Yang, Lin ^{[1
]}

Trinh, Hieu ^{[2
]}

机构：

[1] Soochow Univ, Sch Mech & Elect Engn, Suzhou 215131, Peoples R China

[2] Deakin Univ, Sch Engn, Geelong, Vic 3217, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 405卷

基金：

中国国家自然科学基金;

关键词：

Saturation controller; Incremental quadratic constraint; Convex hull Lyapunov function; LYAPUNOV-FUNCTIONS; OBSERVERS; STABILITY; DESIGN;

D O I：

10.1016/j.amc.2021.126271

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article presents a saturation controller design method for a type of nonlinear time delay systems. Different from the current works, the nonlinear systems considered herein satisfy an incremental quadratic constraint, which is a more general nonlinearity. Firstly, for the constraint in the actuator, the convex set theory is employed to transform the saturated feedback law into a parameterized linear convex hull set. Next, the convex hull Lyapunov function is constructed to obtain sufficient conditions for exponential stability of the closed-loop system. In addition, by solving an optimization problem, the maximal estimation of domain of attraction is also determined. Finally, numerical examples are provided to verify the proposed method. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：14

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