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Improving the global performance of a fuzzy gain-scheduler by supervision
(Siemens Corporate R6D)
Department of Computer and Information Science, University of Linköping, Linköping, Sweden. (AASS)ORCID iD: 0000-0002-9477-4044
1999 (English)In: Engineering Applications of Artificial Intelligence, ISSN 0952-1976, Vol. 12, no 3, p. 297-307Article in journal (Refereed) Published
Abstract [en]

The fundamental issue in gain scheduling along a desired reference trajectory is the question of guaranteed stability of the overall gain-scheduled closed-loop system. Since the gain-scheduled design is based on linear-time-invariant approximation of the open-loop system, and since this system is actually nonlinear, the design guarantees only local stability. This requires a further restriction, namely that the desired reference trajectory should vary slowly. The design of a fuzzy gain scheduler requires a conventional model of the nonlinear system under control and a partition of the state space into a ®nite number of fuzzy regions. The nonlinear system is Lyapunov-linearized at the center of each fuzzy region. Then linear controllers intended to locally stabilize the linearized system, and consequently the original nonlinear system, at the center of a fuzzy region are designed. In that way, gain-scheduling control of the original nonlinear system can be designed to cope with any (unknown in advance) slowly time-varying desired trajectory. This paper shows how the stability and robustness analysis of the gainscheduled closed-loop sysem in terms of sliding-mode control techniques can be used for the design of a supervisory system which avoids unstable behavior outside the region in which local stability is guaranteed.

Place, publisher, year, edition, pages
Elsevier, 1999. Vol. 12, no 3, p. 297-307
Keywords [en]
gain scheduling, fuzzy gain schedulers, Sliding-mode control, Supervision
National Category
Engineering and Technology
Research subject
Computer Engineering; Automatic Control
Identifiers
URN: urn:nbn:se:oru:diva-42520DOI: 10.1016/S0952-1976(98)00066-9ISI: 000080831300005Scopus ID: 2-s2.0-0032654621OAI: oai:DiVA.org:oru-42520DiVA, id: diva2:786836
Available from: 2015-02-06 Created: 2015-02-06 Last updated: 2017-10-17Bibliographically approved

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Driankov, Dimiter

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CiteExportLink to record
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  • apa
  • ieee
  • modern-language-association-8th-edition
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  • de-DE
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Output format
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