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Effective Synthesis of Switching Controllers for Linear Systems

Identifieur interne : 00A895 ( Main/Merge ); précédent : 00A894; suivant : 00A896

Effective Synthesis of Switching Controllers for Linear Systems

Auteurs : Eugène Asarin [France] ; Olivier Bournez [France] ; Thao Dang [France] ; Oded Maler [France] ; Amir Pnueli [France]

Source :

RBID : Hal:inria-00099342

Descripteurs français

Abstract

In this work, we suggest a novel methodology for synthesizing switching controllers for continuous and hybrid systems whose dynamics is defined by linear differential equations. We formulate the synthesis problem as finding the conditions upon which a controller should switch the behaviour of the system from one ``mode'' to another in order to avoid a set of bad states, an propose an abstract algorithm which solves the problem by iterative calculation of reachable states. We have implemented a concrete version of the algorithm which uses a new approximation scheme for reachability analysis for linear systems.

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<name sortKey="Pnueli, Amir" sort="Pnueli, Amir" uniqKey="Pnueli A" first="Amir" last="Pnueli">Amir Pnueli</name>
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<addrLine>Faculté de Droit Chemin de la Censive du Tertre - BP 81307 44313 NANTES CEDEX 3</addrLine>
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<country>France</country>
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<region type="region" nuts="2">Pays de la Loire</region>
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<term>controller synthesis</term>
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<div type="abstract" xml:lang="en">In this work, we suggest a novel methodology for synthesizing switching controllers for continuous and hybrid systems whose dynamics is defined by linear differential equations. We formulate the synthesis problem as finding the conditions upon which a controller should switch the behaviour of the system from one ``mode'' to another in order to avoid a set of bad states, an propose an abstract algorithm which solves the problem by iterative calculation of reachable states. We have implemented a concrete version of the algorithm which uses a new approximation scheme for reachability analysis for linear systems.</div>
</front>
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