Constrained Control for Linear Time-Varying Systems in the Presence of Disturbances

Nam Nguyen 1 Sorin Olaru 1 P.O Gutman 2 Morten Hovd 3
1 E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
2 Technion - Israel Institute of Technology [Haifa]
3 NTNU - Norwegian University of Science and Technology [Trondheim]
Abstract : The aim of this paper is twofold. In the first part, we revisit the robust invariance for ellipsoidal sets with respect to discrete-time linear time-varying and uncertain systems with bounded additive disturbances. In this context we provide an extension of the invariance condition of the previously published results in the literature. In the second part a novel robust interpolation based control method involving several local unconstrained robust optimal controls is proposed. Among them, one controller plays the role of a performance candidate, while the remaining controllers are used in the interpolation scheme for enlarging the domain of attraction. By using an appropriate objective function, recursive feasibility and a robustly asymptotically stable closed loop behavior are guaranteed.
Mots-clés : Input constraint systems Uncertain systems Disturbance rejection
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Conference papers
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https://hal-supelec.archives-ouvertes.fr/hal-00794355
Contributor : Josiane Dartron <>
Submitted on : Monday, February 25, 2013 - 4:17:45 PM
Last modification on : Tuesday, September 18, 2018 - 1:02:05 AM

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Nam Nguyen, Sorin Olaru, P.O Gutman, Morten Hovd. Constrained Control for Linear Time-Varying Systems in the Presence of Disturbances. IFAC 5th Symposium on System Structure and Control, Feb 2013, Grenoble, France. pp.923-928, ⟨10.3182/20130204-3-FR-2033.00220⟩. ⟨hal-00794355⟩

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