Robust-Adaptive Interval Predictive Control for Linear Uncertain Systems

Leurent, Edouard; Efimov, Denis; Maillard, Odalric-Ambrym

Document type :

Communication dans un congrès avec actes

Title :

Robust-Adaptive Interval Predictive Control for Linear Uncertain Systems

Author(s) :

Leurent, Edouard [Auteur]
RENAULT
Efimov, Denis [Auteur]

Centrale Lille

Finite-time control and estimation for distributed systems [VALSE]
Maillard, Odalric-Ambrym [Auteur]

Centrale Lille

Scool [Scool]
Sequential Learning [SEQUEL]

Conference title :

CDC 2020 - 59th IEEE Conference on Decision and Control

City :

Jeju Island / Virtual

Country :

Corée du Sud

Start date of the conference :

2020-12-10

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution ...
Show more >We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available noisy measurements, the set of admissible values for parameters is evaluated. Second, for the estimated set of parameter values and the corresponding linear interval model of the system, two interval predictors are recalled and an unconstrained stabilizing control is designed that uses the predicted intervals. Third, to guarantee the robust constraint satisfaction, a model predictive control algorithm is developed, which is based on solution of an optimization problem posed for the interval predictor. The conditions for recursive feasibility and asymptotic performance are established. Efficiency of the proposed control framework is illustrated by numeric simulations.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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