Passivity-based fractional-order integral sliding-mode control design for uncertain fractional-order nonlinear systems

被引：31

作者：

Dadras, Sara ^{[1
,2
]}

Momeni, Hamid Reza ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Automat & Instruments Lab, Dept Elect Engn, Tehran, Iran

[2] Utah State Univ, CSOIS, Elect & Comp Engn Dept, Logan, UT 84322 USA

来源：

MECHATRONICS | 2013年 / 23卷 / 07期

关键词：

Fractional-order system; Uncertain system; Fractional sliding-mode manifold; Passivity; Linear matrix inequality (LMI); CHAOS; VAN;

D O I：

10.1016/j.mechatronics.2013.05.009

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 concerns with the problem of designing a passivity-based fractional-order (FO) integral sliding mode controller for uncertain FO nonlinear systems. Utilizing the FO calculus, it is showed that the state trajectories of the closed-loop system reach the FO switching manifold in finite time. The control law ensures the asymptotical stability on the sliding surface. A parameter adjustment scheme for FO integral sliding surface is proposed by using the linear matrix inequality (LMI) approach. The proposed controller can be applied to different systems such as chaotic systems. Finally, simulation results are provided to show the effectiveness of the proposed method controlling chaos in FO Chua circuit and FO Van-der-Pol oscillator. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：880 / 887

页数：8

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