Abstract
Abstract
There are some different methods to evaluate the stability behaviour of fuzzy control systems depending on the availability of a mathematical process model. Two possibilities are discussed, stability by linearization and stability supervision by an additional fuzzy unit. The stability supervision is very adequate to the application of fuzzy control because a mathematical process model seems to be not necessary. In many cases of stability proof, relations to linear systems can be exploited.
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References
Bindel, Th. and Mikut R., Stabilitätssicherung durch Verwendung einer Fuzzy-Überwachungseinrichtung am Beispiel einer Durchflussregelstrecke. In: Forschungsbericht 4. Workshop Fuzzy Control, Dortmund, Germany, (1994), pp. 185–199.
Böhm, R., Ein Ansatz zur Stabilitätsanalyse von Fuzzy-Regelungen. In: Forschungsbericht 2. Workshop Fuzzy Control, Dortmund, Germany, (1992), pp. 24–35.
Boll, M., Bornemann J. and Dörr F., Anwendung der harmonischen Balance auf Regelkreise mit unsymmetrischen Fuzzy-Komponenten und konstanten Eingangsgrössen. In: Forschungsbericht 4. Workshop Fuzzy Control, Dortmund, Germany, (1994), pp. 70–84.
Bühler, H., Stabilitätsuntersuchung von Fuzzy-Regelungen. In: Forschungsbericht 3. Work-shop Fuzzy Control, Dortmund, Germany, (1993), pp. 1–12.
Kiendl, H., Stabilitätsanalyse von mehrschleifigen Fuzzy-Regelungssystemen mit der Methode der Harmonischen Balance. In: Forschungsbericht 3. Workshop Fuzzy Control, Dortmund, Germany, (1993), pp. 315–321.
Strietzel, R., Feedforward adapted control of a track bound vehicle. In: Proceedings of the first European Control Conference (ECC’91), Grenoble, France, Vol. 2, (1991), pp.
Strietzel, R., Tuning Problem of Fuzzy Controllers. In: Proceedings of the European Seminar on Automation and Control Technology, Dresden, Germany, (1994), pp. 83–91.
Wang, L.-X., A supervisory controller for fuzzy control systems that guarantees stability. IEEE Trans, on Automatic Control, 39, 9, (1994), pp. 1845–1847.
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© 1996 Birkhäuser Verlag Basel
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Strietzel, R. (1996). Towards the stability of fuzzy control systems. In: Jeltsch, R., Mansour, M. (eds) Stability Theory. ISNM International Series of Numerical Mathematics, vol 121. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9208-7_11
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DOI: https://doi.org/10.1007/978-3-0348-9208-7_11
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9945-1
Online ISBN: 978-3-0348-9208-7
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