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Research Papers

Stabilization of Fractional-Order Systems Subject to Saturation Element Using Fractional Dynamic Output Feedback Sliding Mode Control

[+] Author and Article Information
Esmat Sadat Alaviyan Shahri

Faculty of Electrical and Robotic Engineering,
Shahrood University of Technology,
Shahrood 36199–95161, Iran
e-mail: ss_alaviyan@yahoo.com

Alireza Alfi

Faculty of Electrical and Robotic Engineering,
Shahrood University of Technology,
Shahrood 36199–95161, Iran
e-mail: a_alfi@shahroodut.ac.ir

J. A. Tenreiro Machado

Institute of Engineering,
Polytechnic of Porto,
Department of Electrical Engineering,
Rua Dr. António Bernardino de Almeida,
Porto 4249-015, Portugal
e-mail: jtenreiromachado@gmail.com

1Correspondence author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 14, 2016; final manuscript received October 25, 2016; published online December 5, 2016. Assoc. Editor: Dumitru Baleanu.

J. Comput. Nonlinear Dynam 12(3), 031014 (Dec 05, 2016) (6 pages) Paper No: CND-16-1274; doi: 10.1115/1.4035196 History: Received June 14, 2016; Revised October 25, 2016

This paper addresses the design of a robust fractional-order dynamic output feedback sliding mode controller (FDOF-SMC) for a general class of uncertain fractional systems subject to saturation element. The control law is composed of two components, one linear and one nonlinear. The linear component corresponds to the fractional-order dynamics of the FDOF-SMC, while the nonlinear component is associated with the switching control algorithm. The closed-loop system exhibits asymptotical stability and the system states approach the sliding surface in a finite time. In order to design the controller, a linear matrix inequality (LMI)-based procedure is also derived. Simulation results demonstrate the feasibility of the FDOF-SMC strategy.

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Figures

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Fig. 1

Trajectory of the system states for v=0.7

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Fig. 2

Trajectory of the control states for v=0.7

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Fig. 3

Control input profile for v=0.7

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Fig. 4

Sliding surface profile for v=0.7

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Fig. 5

Trajectory of the system states for v=0.9

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Fig. 6

Trajectory of the control states for v=0.9

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Fig. 7

Control input profile for v=0.9

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Fig. 8

Sliding surface profile for v=0.9

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