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

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题名:	Time-Optimal Control of T-S Fuzzy Models via Lie Algebra
作者:	Lin, Pao-Tsun;Wang, Chi-Hsu;Lee, Tsu-Tian
贡献者:	淡江大學電機工程學系
日期:	2009-08
上传时间:	2014-09-24 09:53:25 (UTC+8)
出版者:	Piscataway: Institute of Electrical and Electronics Engineers
摘要:	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.
關聯:	IEEE Transactions on Fuzzy Systems 17(4), pp.737-749
DOI:	10.1109/TFUZZ.2008.924321
显示于类别:	[電機工程學系暨研究所] 期刊論文

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