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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.
24. Workshop Computational Intelligence. Dortmund, Germany (27.-28.11.2014)
doi: 10.26083/tuprints-00022342
Conference or Workshop Item, Secondary publication, Publisher's Version

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Item Type: Conference or Workshop Item
Type of entry: Secondary publication
Title: Parallel Distributed Compensation for Piecewise Bilinear Models and Recurrent Fuzzy Systems Based on Piecewise Quadratic Lyapunov Functions
Language: English
Date: 9 September 2022
Place of Publication: Darmstadt
Year of primary publication: 2014
Publisher: KIT Scientific Publishing
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
Event Title: 24. Workshop Computational Intelligence
Event Location: Dortmund, Germany
Event Dates: 27.-28.11.2014
DOI: 10.26083/tuprints-00022342
Corresponding Links:
Origin: Secondary publication service
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.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-223421
Classification DDC: 000 Generalities, computers, information > 004 Computer science
600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
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)
Date Deposited: 09 Sep 2022 13:22
Last Modified: 27 Oct 2023 10:34
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/22342
PPN: 500153248
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