oru.sePublications
Change search
Link to record
Permanent link

Direct link
BETA
Bergsten, Pontus
Publications (3 of 3) Show all publications
Bergsten, P., Palm, R. & Driankov, D. (2002). Observers for Takagi-Sugeno fuzzy systems. IEEE transactions on systems, man and cybernetics. Part B. Cybernetics, 32(1), 114-121
Open this publication in new window or tab >>Observers for Takagi-Sugeno fuzzy systems
2002 (English)In: IEEE transactions on systems, man and cybernetics. Part B. Cybernetics, ISSN 1083-4419, E-ISSN 1941-0492, ISSN 1083-4419/02, Vol. 32, no 1, p. 114-121Article in journal (Refereed) Published
Abstract [en]

We focus on the analysis and design of two different sliding mode observers for dynamic Takagi-Sugeno (TS) fuzzy systems. A nonlinear system of this class is composed of multiple affine local linear models that are smoothly interpolated by weighting functions resulting from a fuzzy partitioning of the state space of a given nonlinear system subject to observation. The Takagi-Sugeno fuzzy system is then an accurate approximation of the original nonlinear system. Our approach to the analysis and design of observers for Takagi-Sugeno fuzzy systems is based on extending sliding mode observer schemes to the case of interpolated multiple local affine linear models. Thus, our main contribution is nonlinear observer analysis and design methods that can effectively deal with model/plant mismatches. Furthermore, we consider the difficult case when the weighting functions in the Takagi-Sugeno fuzzy system depend on the estimated state

Place, publisher, year, edition, pages
IEEE Journals & Magazines, 2002
Keywords
http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=979966
National Category
Engineering and Technology Computer Sciences
Research subject
Automatic Control
Identifiers
urn:nbn:se:oru:diva-38978 (URN)10.1109/3477.979966 (DOI)
Funder
Knowledge Foundation
Available from: 2014-11-25 Created: 2014-11-25 Last updated: 2018-01-11Bibliographically approved
Bergsten, P., Palm, R. & Driankov, D. (2001). Fuzzy Observers. In: The 10th IEEE International Conference on Fuzzy Systems (Volym:3): Meeting the grand challenge: Machines that serve people. Paper presented at The 10th IEEE International Conference on Fuzzy Systems, Melbourne, Australia, December 2-5, 2001 (pp. 700-703). New York, USA: IEEE conference proceedings
Open this publication in new window or tab >>Fuzzy Observers
2001 (English)In: The 10th IEEE International Conference on Fuzzy Systems (Volym:3): Meeting the grand challenge: Machines that serve people, New York, USA: IEEE conference proceedings, 2001, p. 700-703Conference paper, Published paper (Refereed)
Abstract [en]

We consider the analysis and design of three different types of nonlinear observers for dynamic Takagi-Sugeno fuzzy systems. Our approach is based on extending existing nonlinear observer schemes, namely Thau-Luenberger and sliding mode observers, to the case of interpolated multiple local affine linear models. Then linear matrix inequality based techniques are used for observer analysis and design.

Place, publisher, year, edition, pages
New York, USA: IEEE conference proceedings, 2001
National Category
Engineering and Technology Control Engineering
Research subject
Automatic Control
Identifiers
urn:nbn:se:oru:diva-38969 (URN)10.1109/FUZZ.2001.1009051 (DOI)000178178300174 ()2-s2.0-0036349258 (Scopus ID)0-7803-7293-X (ISBN)
Conference
The 10th IEEE International Conference on Fuzzy Systems, Melbourne, Australia, December 2-5, 2001
Funder
Knowledge Foundation
Available from: 2014-11-25 Created: 2014-11-25 Last updated: 2017-10-17Bibliographically approved
Bergsten, P. (2001). Observers and controllers for Takagi-Sugeno fuzzy systems. (Doctoral dissertation). Örebro: Örebro universitetsbibliotek
Open this publication in new window or tab >>Observers and controllers for Takagi-Sugeno fuzzy systems
2001 (English)Doctoral thesis, monograph (Other academic)
Abstract [en]

This thesis studies analysis and design issues for observers anc controllers for Takagi-Sugeno (TS) fuzzy systems. Many physical systems are nonlinear in nature and using the well known linear techniques for such systems may result in bad performance, and even instability. On the other hand, analysis and design of observers and controllers for general nonlinear systems tend to be a quite involved procedure. It turns out, however, that a TS fuzzy system is able to represent or approximate a large class of nonlinear systems. Developing methods for observation and control for TS systems should therefore be worthwile.

The TS fuzzy systems considered in this thesis are allowed to have an affine term. This can be an advantage, because affine TS fuzzy systems may be able to approximate nonlinear functions  to high accuracy with fewer rules than the TS fuzzy system with linear consequents only.

It is shown that observer design is more difficult when the weights in the TS fuzzy systems depend on the estimated state, and an explicit design procedure is devised for that case. A reduced order observer is also proposed. To deal with modeling errors a fuzzy sliding mode approach is taken.

The controller design is focused on affine TS fuzzy systems. Analysis and design of observer-based error state feedback controllers are proposed. Furthermore, it is also shown how recent results on classical gain scheduling may be used for control of affine TS fuzzy systems.

Analysis and design for both observers and controllers are based on quadratic stability analysis, and in some cases, on robust quadratic stability analysis. Although this approach may be conservative, it often results in automatic design procedures based on optimization subject to linear matrix inequalities.

Place, publisher, year, edition, pages
Örebro: Örebro universitetsbibliotek, 2001. p. 117
Series
Örebro Studies in Technology, ISSN 1650-8580 ; 1
National Category
Computer Sciences
Research subject
Computer and Systems Science
Identifiers
urn:nbn:se:oru:diva-40 (URN)91-7668-285-4 (ISBN)
Public defence
2001-11-01, Bion, Forumhuset, Örebro universitet, Fakultetsgatan 1, Örebro, 13:15
Opponent
Supervisors
Available from: 2002-10-16 Created: 2002-10-16 Last updated: 2018-01-13Bibliographically approved
Organisations

Search in DiVA

Show all publications