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Parallel Distributed Compensation for Piecewise Bilinear Models and Recurrent Fuzzy Systems Based on Piecewise Quadratic Lyapunov Functions

Gering, Stefan ; Adamy, Jürgen ; Eciolaza, Luka ; Sugeno, Michio (2022):
Parallel Distributed Compensation for Piecewise Bilinear Models and Recurrent Fuzzy Systems Based on Piecewise Quadratic Lyapunov Functions. (Publisher's Version)
In: Schriftenreihe des Instituts für Angewandte Informatik / Automatisierungstechnik am Karlsruher Institut für Technologie, 50, In: Proceedings 24. Workshop Computational Intelligence : Dortmund, 27. - 28. November 2014, pp. 257-276,
Darmstadt, KIT Scientific Publishing, 24. Workshop Computational Intelligence, Dortmund, Germany, 27.-28.11.2014, ISSN 1614-5267, ISBN 978-3-7315-0275-3,
DOI: 10.26083/tuprints-00022342,
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Item Type: Conference or Workshop Item
Origin: Secondary publication service
Status: Publisher's Version
Title: Parallel Distributed Compensation for Piecewise Bilinear Models and Recurrent Fuzzy Systems Based on Piecewise Quadratic Lyapunov Functions
Language: English
Abstract:

Piecewise Bilinear Models and Recurrent Fuzzy Systems are universal approximators for any smooth nonlinear dynamics. One of their advantage is the efficient representation of the modeled system dynamics by means of rule-bases or look-up-tables. In this paper, it is shown how to obtain provably stabilizing controllers by means of piecewise quadratic Lyapunov functions. Interpolating controllers with affine local controllers are considered for interpolation, akin to the concept of parallel distributed compensation widely used for control of Takagi-Sugeno systems.

Book Title: Proceedings 24. Workshop Computational Intelligence : Dortmund, 27. - 28. November 2014
Series: Schriftenreihe des Instituts für Angewandte Informatik / Automatisierungstechnik am Karlsruher Institut für Technologie
Series Volume: 50
Place of Publication: Darmstadt
Publisher: KIT Scientific Publishing
Classification DDC: 000 Allgemeines, Informatik, Informationswissenschaft > 004 Informatik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau
Divisions: 18 Department of Electrical Engineering and Information Technology > Institut für Automatisierungstechnik und Mechatronik > Control Methods and Robotics (from 01.08.2022 renamed Control Methods and Intelligent Systems)
Event Title: 24. Workshop Computational Intelligence
Event Location: Dortmund, Germany
Event Dates: 27.-28.11.2014
Date Deposited: 09 Sep 2022 13:22
Last Modified: 18 Apr 2023 12:07
DOI: 10.26083/tuprints-00022342
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-223421
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/22342
PPN: 500153248
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