NDLI: Time-Optimal Control of T--S Fuzzy Models via Lie Algebra

Content Provider	IEEE Xplore Digital Library
Author	Pao-Tsun Lin Chi-Hsu Wang Tsu-Tian Lee
Copyright Year	1993
Abstract	This paper investigates a geometric property of time-optimal problem in the Takagi-Sugeno (T-S) fuzzy model via Lie algebra. We will focus on the existence of a time-optimal solution, singularity of switching function, and number of switching. These inherent problems are considered because of their rich geometric properties. The sufficient condition for the existence of a time-optimal solution reveals the controllability of T-S fuzzy model that can be found by the generalized rank condition. The time-optimal controller can be found as the bang-bang type with a finite number of switching by applying the maximum principle. In the study of the singularity problem, we will focus on the switching function whenever it vanishes over a finite time interval. Finally, we show that the bounded number of switching can be found if the T-S model (also a nonlinear system) is solvable.
Sponsorship	IEEE Computational Intelligence Society
Starting Page	737
Ending Page	749
Page Count	13
File Size	942726
File Format	PDF
ISSN	10636706
Volume Number	17
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fuzzy control Algebra Nonlinear control systems Educational institutions Solid modeling Controllability Nonlinear systems Control systems Robust stability Sufficient conditions time-optimal control fuzzy control Lie algebras Takagi–Sugeno (T--S) fuzzy model T-S fuzzy model Time-optimal control
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence Control and Systems Engineering Computational Theory and Mathematics

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