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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October 2017
Research-Article
Disturbance Rejection of Interval Type-2 Fuzzy Systems Based on Equivalence-Input-Disturbance Approach
P. Selvaraj,
P. Selvaraj
Department of Mathematics,
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
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R. Sakthivel,
R. Sakthivel
Department of Mathematics,
Bharathiar University,
Coimbatore 641046, India;
Bharathiar University,
Coimbatore 641046, India;
Department of Mathematics,
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
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O. M. Kwon,
O. M. Kwon
School of Electrical Engineering,
Chungbuk National University,
1 Chungdao-ro,
Cheongju 362-763, South Korea
e-mail: madwind@chungbuk.ac.kr
Chungbuk National University,
1 Chungdao-ro,
Cheongju 362-763, South Korea
e-mail: madwind@chungbuk.ac.kr
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M. Muslim
M. Muslim
School of Basic Sciences,
Indian Institute of Technology Mandi,
Mandi 175001, HP, India
e-mail: muslim@iitmandi.ac.in
Indian Institute of Technology Mandi,
Mandi 175001, HP, India
e-mail: muslim@iitmandi.ac.in
Search for other works by this author on:
P. Selvaraj
Department of Mathematics,
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
R. Sakthivel
Department of Mathematics,
Bharathiar University,
Coimbatore 641046, India;
Bharathiar University,
Coimbatore 641046, India;
Department of Mathematics,
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
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
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
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. Oct 2017, 139(10): 101006 (6 pages)
Published Online: June 28, 2017
Article history
Received:
September 14, 2015
Revised:
April 15, 2017
Citation
Selvaraj, P., Sakthivel, R., Kwon, O. M., and Muslim, M. (June 28, 2017). "Disturbance Rejection of Interval Type-2 Fuzzy Systems Based on Equivalence-Input-Disturbance Approach." ASME. J. Dyn. Sys., Meas., Control. October 2017; 139(10): 101006. https://doi.org/10.1115/1.4036564
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