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Stabilization of Recurrent Fuzzy Systems via Sum of Squares-based Hybrid Control

Gering, Stefan ; Adamy, Jürgen (2023):
Stabilization of Recurrent Fuzzy Systems via Sum of Squares-based Hybrid Control. (Publisher's Version)
In: IFAC Proceedings Volumes, 47 (3), pp. 6940-6946. IFAC - International Federation of Automatic Control, ISSN 1474-6670,
DOI: 10.26083/tuprints-00023292,

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Item Type: Article
Origin: Secondary publication service
Status: Publisher's Version
Title: Stabilization of Recurrent Fuzzy Systems via Sum of Squares-based Hybrid Control
Language: English

This paper presents an approach for stabilization of equilibria in recurrent fuzzy systems. This type of dynamic fuzzy systems being defined via linguistic rules can be interpreted as interpolation between constant gradients, and therefore as hybrid dynamical system. It is shown that the latter viewpoint allows for a precise description of the system dynamics, but on the other hand lacks transparency. In order to render a given equilibrium of the recurrent fuzzy system globally asymptotically stable, local polynomial controllers are computed via sum of squares optimization to allow only for deterministic mode transitions on a micro level. In addition, the controlled recurrent fuzzy system can then be interpreted as finite deterministic automaton, thus allowing for analysis of system properties on a more abstract macro level. Relaxations are proposed in cases where recurrent fuzzy systems may not be rendered deterministic and the method is applied to two examples.

Journal or Publication Title: IFAC Proceedings Volumes
Volume of the journal: 47
Issue Number: 3
Place of Publication: Darmstadt
Publisher: IFAC - International Federation of Automatic Control
Uncontrolled Keywords: Recurrent Fuzzy Systems, Hybrid Systems, Automata, Polynomial Control, Sum of Squares
Classification DDC: 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 Intelligent Systems
Date Deposited: 01 Mar 2023 13:39
Last Modified: 26 May 2023 07:04
DOI: 10.26083/tuprints-00023292
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-232922
Additional Information:

Zugl. Konferenzveröffentlichung: 19th IFAC World Congress (IFAC 2014), 24.-29.08.2014, Cape Town, South Africa

URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/23292
PPN: 507988841
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