Control with constraints for linear stationary systems: An interpolation approach

H.-N. Nguyen 1 P.O. Gutman 1 Sorin Olaru 2, 3 M. Hovd 4
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
3 AUTO - Département Automatique
E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
Abstract : We propose a new approach to controlling a discrete linear stationary system with a polyhedral constraint on the state and input. The basic idea is to use interpolation. The control law has both explicit and implicit forms. In the implicit form, at any moment of time, at most two linear programming problems are solved online. In the explicit form, the control law contains piecewise affine and continuous functions of state. This method can be viewed as an alternative to predictive control. We show proofs of recursive realizability and asymptotic stability.
Type de document :
Article dans une revue
Automation and Remote Control, 2014, 75 (1), pp.57-74. 〈10.1134/S0005117914010044〉
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https://hal-supelec.archives-ouvertes.fr/hal-00944453
Contributeur : Pascale Lepeltier <>
Soumis le : lundi 10 février 2014 - 16:10:31
Dernière modification le : jeudi 11 janvier 2018 - 06:23:15

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H.-N. Nguyen, P.O. Gutman, Sorin Olaru, M. Hovd. Control with constraints for linear stationary systems: An interpolation approach. Automation and Remote Control, 2014, 75 (1), pp.57-74. 〈10.1134/S0005117914010044〉. 〈hal-00944453〉

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