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Finite-gain lp Stability Analysis for TSK Fuzzy System

Title
Finite-gain lp Stability Analysis for TSK Fuzzy System
Authors
최오규
Date Issued
2015
Publisher
포항공과대학교
Abstract
In this thesis, we analyze the finite-gain lp stability of Takagi-Sugeno-Kang (TSK) fuzzy system and determine the sufficient conditions in which the TSK fuzzy system become finite-gain ㅣp stable. We first described the previous research method used in the finite-gain lp stability analysis with a TSK fuzzy PD controller. The previous research method has used the region-based input-output relationship analysis that divides the input plane into many regions. This method required excessive computational cost because it must consider many regions called input combinations, cells, or sectors. We present a new approach that does not need the region-based analysis. To overcome the difficulties encountered in previous region-based approaches, we directly derive the finite l∞ gain candidate of the controller from the original form of the control output. This approach decreases the computational cost dramatically and derived less conservative finite l∞ gain candidate compared with the region-based approach. But, the studies for the finite-gain l∞ stability including our study use still strongly constrained TSK fuzzy system and they cannot cover other finite-gain lp stability beside the finite-gain l∞ stability. We apply newly the developed approach to finite-gain lp stability analysis with more unconstrained TSK fuzzy system. We use the MISO TSK fuzzy system with multiple premise variables and general LTI models as local models of the TSK fuzzy system. As a result, we prove the finite-gain lp stability for any with these TSK fuzzy system and our finite lp gain candidates are smaller than or equal to those of the previous studies.
URI
http://postech.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000002073742
https://oasis.postech.ac.kr/handle/2014.oak/93217
Article Type
Thesis
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