Browsing by Author "Lin, Pao-Tsun"

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Time-Optimal Control of T-S Fuzzy Models via Lie Algebra
(2009-08-01)
Lin, Pao-Tsun
;
Wang, Chi-Hsu
;
Lee, Tsu-Tian
;
電控工程研究所
;
Institute of Electrical and Control Engineering
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.