A predictive control scheme for systems with variable time-delay

Warody Lombardi 1, 2 Sorin Olaru 1 Silviu-Iulian Niculescu 3, 4 Laurentiu Hetel 5
3 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
4 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
5 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This article deals with the robust control design problem for linear time invariant systems affected by variable feedback delay. Constraints on the system state are considered in the system description. The starting point is the construction of a predictive control law which guarantees the existence of a nonempty robust positive invariant (RPI) set with respect to the closed-loop dynamics. Subsequently, an iterative algorithm is proposed in order to obtain an approximation of the maximal RPI set. The problem can be treated in the framework of piecewise affine systems due to the explicit formulations of the control law obtained via multiparametric programming.
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Journal articles
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https://hal.archives-ouvertes.fr/hal-00734738
Contributor : Laurentiu Hetel <>
Submitted on : Monday, September 24, 2012 - 1:59:36 PM
Last modification on : Tuesday, June 4, 2019 - 11:08:06 AM

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Warody Lombardi, Sorin Olaru, Silviu-Iulian Niculescu, Laurentiu Hetel. A predictive control scheme for systems with variable time-delay. International Journal of Control, Taylor & Francis, 2012, 85 (7), pp.915-932. ⟨10.1080/00207179.2012.669847⟩. ⟨hal-00734738⟩

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