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Synthesis of a Discrete System using Algebraic Methods
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1996 (English)Report (Other academic)
Abstract [en]

n this work we investigate whether it is possible to synthesize the control law for a discrete event dynamic system, using a polynomial representation of the system and controller. By working through a relatively simple example we propose a synthesis method based on the polynomial representation and repeated Gröbner basis computations.

The supervisor objective is given in terms of forbidden states and the controller should actively be able to avoid these. We reduce the manifold of solutions by imposing a weighting function on the state space and by proposing a priority among the actuators. In this way we radically improve the computational performance and we can also control the system towards a desired state, which is our control objective. The resulting controller is an explicit state feedback.

During the design phase we also obtain a polynomial describing where in the state space the computed control law is valid. This makes it possible to examine controllability and supervisability of the system.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 1996. , 7 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 1905
Keyword [en]
DEDS, Algebra, Synthesis, Gröbner Basis, Application
Keyword [sv]
Cybernetik Informationsteori
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55370ISRN: LiTH-ISY-R-1905OAI: oai:DiVA.org:liu-55370DiVA: diva2:316013
Available from: 2010-04-29 Created: 2010-04-29 Last updated: 2014-09-18Bibliographically approved

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Automatic ControlThe Institute of Technology
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  • apa
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