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Research Papers

Disturbance Rejection of Interval Type-2 Fuzzy Systems Based on Equivalence-Input-Disturbance Approach

[+] Author and Article Information
P. Selvaraj

Department of Mathematics,
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com

R. Sakthivel

Department of Mathematics,
Bharathiar University,
Coimbatore 641046, India;
Department of Mathematics,
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com

O. M. Kwon

School of Electrical Engineering,
Chungbuk National University,
1 Chungdao-ro,
Cheongju 362-763, South Korea
e-mail: madwind@chungbuk.ac.kr

M. Muslim

School of Basic Sciences,
Indian Institute of Technology Mandi,
Mandi 175001, HP, India
e-mail: muslim@iitmandi.ac.in

1Corresponding authors.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received September 14, 2015; final manuscript received April 15, 2017; published online June 28, 2017. Assoc. Editor: Srinivasa M. Salapaka.

J. Dyn. Sys., Meas., Control 139(10), 101006 (Jun 28, 2017) (6 pages) Paper No: DS-15-1455; doi: 10.1115/1.4036564 History: Received September 14, 2015; Revised April 15, 2017

This paper focuses on the problem of disturbance rejection for a class of interval type-2 (IT-2) fuzzy systems via equivalence-input-disturbance (EID)-based approach. The main objective of this work is to design a fuzzy state-feedback controller combined with a disturbance estimator such that the output of the fuzzy system perfectly tracks the given reference signal without steady-state error and produces an EID to eliminate the influence of the actual disturbances. By constructing a suitable Lyapunov function and using linear matrix inequality (LMI) technique, a new set of sufficient conditions is established in terms of linear matrix inequalities for the existence of fuzzy controller. Finally, a simple pendulum model is considered to illustrate the effectiveness and applicability of the proposed EID-based control design.

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Figures

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Fig. 1

Block diagram of the proposed EID-based IT-2 fuzzy control system

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Fig. 2

Tracking performance without EID block

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Fig. 3

Tracking performance with EID block

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Fig. 4

Tracking error estimation without EID-based control

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Fig. 5

Tracking error estimation with EID-based control

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