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Disturbance rejection of interval type-2 fuzzy systems based on equivalence-input-disturbance approach

[+] Author and Article Information
Selvaraj P

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

Sakthivel Rathinasamy

Department of Mathematics Sungkyunkwan University Suwon 440-746, South Korea
krsakthivel@yahoo.com

Kwon O.M

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

Muslim M

School of Basic Sciences Indian Institute of Technology Mandi Mandi - 175001, H.P, India
muslim@iitmandi.ac.in

1Corresponding author.

ASME doi:10.1115/1.4036564 History: Received September 14, 2015; Revised April 15, 2017

Abstract

This paper focuses on the problem of disturbance rejection for a class of interval type-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 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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