Implicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints

Abstract : The problem of regulating an uncertain and/or time-varying linear discrete-time system with state and control constraints to the origin is addressed. It is shown that feasibility and a robustly asymptotically stable closed loop can be achieved using an interpolation technique. The design method can be seen as an alternative to optimization-based control schemes such as Robust Model Predictive Control. Especially for problems requiring complex calculations to find the optimal solution, the present method can provide a straightforward suboptimal solution. A simulation demonstrates the performance of this class of constrained controllers.
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https://hal-supelec.archives-ouvertes.fr/hal-00917676
Contributor : Josiane Dartron <>
Submitted on : Thursday, December 12, 2013 - 11:30:59 AM
Last modification on : Thursday, April 5, 2018 - 12:30:14 PM

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H.N. Nguyen, P.O. Gutman, Sorin Olaru, Morten Hovd. Implicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints. Automatica, Elsevier, 2013, 49 (9), pp.2754-2759. ⟨10.1016/j.automatica.2013.05.007⟩. ⟨hal-00917676⟩

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