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Observer-Based Relaxed H-infinity Control for Fuzzy Systems Using a Multiple Lyapunov Function SCIE SCOPUS

Title
Observer-Based Relaxed H-infinity Control for Fuzzy Systems Using a Multiple Lyapunov Function
Authors
Kim, SHPark, P
Date Issued
2009-04
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Abstract
This short paper proposes a method of designing a fuzzy observer-based H-infinity controller for discrete-time Takagi-Sugeno (T-S) fuzzy systems. To enhance the applicability of the output-feedback controller and improve its performance, this short paper first builds a set of fuzzy control rules with premise variables different from those of the T-S fuzzy system, and sets the overall controller to be dependent on not only the current time but also the one-step-past information on the estimated fuzzy weighting functions. Then, based on the fuzzy control rules, this short paper establishes a less conservative H-infinity stabilization condition incorporated with a multiple Lyapunov function dependent on the estimated fuzzy weighting functions. Through a two-step design procedure, the H-infinity stabilization condition is formulated in terms of parameterized linear matrix equalities (PLMIs), which are reconverted into LMIs with the help of an efficient and effective relaxation scheme.
Keywords
Fuzzy weighting-dependent Lyapunov function (FWDLF); H-infinity performance; observer-based fuzzy control; non-parallel distributed compensation (non-PDC) scheme; parameterized linear matrix inequalities (PLMIs); relaxation scheme; OUTPUT-FEEDBACK CONTROL; LMI-BASED DESIGNS; NONLINEAR-SYSTEMS; PERFORMANCE CONDITIONS; STABILITY; STABILIZATION; REGULATORS; FORM
URI
https://oasis.postech.ac.kr/handle/2014.oak/27664
DOI
10.1109/TFUZZ.2008.2011136
ISSN
1063-6706
Article Type
Article
Citation
IEEE TRANSACTIONS ON FUZZY SYSTEMS, vol. 17, no. 2, page. 476 - 484, 2009-04
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박부견PARK, POOGYEON
Dept of Electrical Enginrg
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