Delayed State-Feedback Fuzzy Control for Nonlinear Fractional Order Systems: An LMI Approach

被引：4

作者：

Mahmoudabadi, Parvin ^{[1
]}

Tavakoli-Kakhki, Mahsan ^{[1
]}

Azarmi, Roohallah ^{[2
]}

机构：

[1] KN Toosi Univ Technol, Fac Elect Engn, Tehran, Iran

[2] Eindhoven Univ Technol TUE, Dept Elect Engn, Eindhoven, Netherlands

来源：

2022 23RD INTERNATIONAL CARPATHIAN CONTROL CONFERENCE (ICCC) | 2022年

关键词：

Fractional order systems; T-S fuzzy model; delayed state-feedback control; Lyapunov-Krasovskii functional; linear matrix inequalities; STABILIZATION CONDITIONS; STABILITY;

D O I：

10.1109/ICCC54292.2022.9805904

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 studies the problem of delayed state-feedback controller design for nonlinear fractional order systems. The effects of the time-varying delay on the controller design procedure are investigated. The proposed approach can not only be applicable for the systems that the controller intentionally created a time delay but also for the systems in which time delay inherently exists in the control input. Takagi-Sugeno (T-S) fuzzy model has been used for representing the nonlinear fractional order system. By adopting both state-feedback and delayed state-feedback approaches, new stabilization conditions are derived, which are indeed expressed in the framework of Linear Matrix Inequalities (LMIs). The stability proof is basically done based on a delay-dependent Lyapunov-Krasovskii Functional (LKF) and the usage of the slack matrices. Finally, the efficiency of the designed controller is validated by considering a gyroscope system as the running example.

引用

页码：37 / 42

页数：6

共 34 条

[1] Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller [J].