Consistent approximations and variational ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Consistent approximations and variational description of some classes of sliding mode control processes
Author(s) :
Azhmyakov, Vadim [Auteur]
Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional [CINVESTAV]
Polyakov, Andrey [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Poznyak, Alexander [Auteur]
Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional [CINVESTAV]
Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional [CINVESTAV]
Polyakov, Andrey [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Poznyak, Alexander [Auteur]
Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional [CINVESTAV]
Journal title :
Journal of The Franklin Institute
Pages :
1964-1981
Publisher :
Elsevier
Publication date :
2013-01-29
ISSN :
0016-0032
HAL domain(s) :
Informatique [cs]/Automatique
English abstract : [en]
This paper is devoted to constructive approximations and an alternative theoretic characterization of some classes of sliding mode control processes. We construct the consistent approximations of the differential inclusions ...
Show more >This paper is devoted to constructive approximations and an alternative theoretic characterization of some classes of sliding mode control processes. We construct the consistent approximations of the differential inclusions associated with the 1rst order variable structures dynamics and also propose a variational description of the sliding mode control in the framework of an auxiliary Hamiltonian based formalism. A trajectory of the closed-loop systems can be then constructively specifed as a result of a particular system optimization procedure applied to the original model. The presented approximations and variational description of the sliding mode-type control design can provide a new analytic basis for constructive numerical schemes and implementable control algorithms. The mathematical tool elaborated in our contribution constitutes a formal extension of the classic Fillipovs results.Show less >
Show more >This paper is devoted to constructive approximations and an alternative theoretic characterization of some classes of sliding mode control processes. We construct the consistent approximations of the differential inclusions associated with the 1rst order variable structures dynamics and also propose a variational description of the sliding mode control in the framework of an auxiliary Hamiltonian based formalism. A trajectory of the closed-loop systems can be then constructively specifed as a result of a particular system optimization procedure applied to the original model. The presented approximations and variational description of the sliding mode-type control design can provide a new analytic basis for constructive numerical schemes and implementable control algorithms. The mathematical tool elaborated in our contribution constitutes a formal extension of the classic Fillipovs results.Show less >
Language :
Anglais
Popular science :
Non
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