Robust passivity and feedback passification of a class of uncertain fractional-order linear systems

被引：31

作者：

Chen, Liping ^{[1
]}

Li, Tingting ^{[1
]}

Chen, YangQuan ^{[2
]}

Wu, Ranchao ^{[3
]}

Ge, Suoliang ^{[1
]}

机构：

[1] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Anhui, Peoples R China

[2] Univ Calif, Mechatron Embedded Syst & Automat Lab, Merced, CA USA

[3] Anhui Univ, Sch Math, Hefei, Anhui, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2019年 / 50卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Fractional-order systems; passification; passivity; uncertain; STABILIZATION; STABILITY; IDENTIFICATION; EQUATIONS; DESIGN;

D O I：

10.1080/00207721.2019.1597940

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Theoretical results on robust passivity and feedback passification of a class of uncertain fractional-order (FO) linear systems are presented in the paper. The system under consideration is subject to time-varying norm-bounded parameter uncertainties in both the state and controlled output matrices. Firstly, some suitable notions of passivity and dissipativity for FO systems are proposed, and the relationship between passivity and stability is obtained. Then, a sufficient condition in the form of linear matrix inequality (LMI) for such system to be robustly passive is given. Based on this condition, the design method of state feedback controller is proposed when the states are available. Moreover, by using matrix singular value decomposition and LMI techniques, the existing condition and method of designing a robust observer-based passive controller for such systems are derived. Numerical simulations demonstrate the effectiveness of the theoretical formulation.

引用

页码：1149 / 1162

页数：14

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