Stability and Stabilization Analysis of Fractional-Order Linear Systems Subject to Actuator Saturation and Disturbance

被引：7

作者：

Li, Chuang ^{[1
]}

Chen, Kai ^{[1
]}

Lu, Junguo ^{[2
,3
]}

Tang, Rongnian ^{[1
]}

机构：

[1] Hainan Univ, Sch Mech & Elect Engn, Haikou 570228, Hainan, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China

[3] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China

来源：

IFAC PAPERSONLINE | 2017年 / 50卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Stability; Fractioanl-Order Systems; Saturation; Disturbance; LMI; Domain of Attraction; INVARIANT SET;

D O I：

10.1016/j.ifacol.2017.08.2055

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper focuses on the fractional order linear systems subject to actuator saturation and external disturbance, and proposes method to estimate the domain of attraction. The quadratic Lyapunov functions are adopted to obtain the invariance of considered systems. The convex combination form of quadratic Lyapunov function is utilized to obtain a large domain of attraction. A continuous feedback law is derived to achieve disturbance rejection for closed-loop systems. Numerical example is provided to illustrate the effectiveness of the developed method. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：9718 / 9723

页数：6

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