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Quasi Min-Max MPC Design for Constrained LPV Systems

Abstract : This paper proposes a novel model predictive controller for polytopic linear parameter-varying (LPV) discrete-time systems with state and control constraints. It is assumed that the time-varying parameters are measured online, but their future behavior is uncertain and contained in a given polytope. The main idea is to use an interpolation technique to obtain a suitable terminal constrained set and suitable terminal cost together with one-step model predictive controller. At each time instant a quadratic programming problem is solved on-line. Proofs recursive feasibility and asymptotic stability are given.
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Contributor : Myriam Andrieux <>
Submitted on : Wednesday, October 15, 2014 - 10:21:35 AM
Last modification on : Monday, October 5, 2020 - 9:44:04 AM


  • HAL Id : hal-01074663, version 1


Hoaï-Nam Nguyen, Romain Bourdais. Quasi Min-Max MPC Design for Constrained LPV Systems. 2014 IEEE Multi-conference on Systems and Control, Oct 2014, Antibes, France. pp.1406-1411. ⟨hal-01074663⟩



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