Control with constraints for linear stationary systems: An interpolation approach

H.-N. Nguyen 1 P.O. Gutman 1 Sorin Olaru 2, 3 Morten Hovd 4
1 Technion - Israel Institute of Technology [Haifa]
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 E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
4 NTNU - Norwegian University of Science and Technology [Trondheim]
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.
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Journal articles
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https://hal-supelec.archives-ouvertes.fr/hal-00944453
Contributor : Pascale Lepeltier <>
Submitted on : Monday, February 10, 2014 - 4:10:31 PM
Last modification on : Tuesday, September 18, 2018 - 1:02:01 AM

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H.-N. Nguyen, P.O. Gutman, Sorin Olaru, Morten Hovd. Control with constraints for linear stationary systems: An interpolation approach. Automation and Remote Control / Avtomatika i Telemekhanika, MAIK Nauka/Interperiodica, 2014, 75 (1), pp.57-74. ⟨10.1134/S0005117914010044⟩. ⟨hal-00944453⟩

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