Feasibility and Stability of a Kind of Model Predictive Control with Additive Uncertainties

Feasibility and Stability of a Kind of Model Predictive Control with Additive Uncertainties

Year:    2009

Author:    Junling Li, Shugong Zhang

Communications in Mathematical Research , Vol. 25 (2009), Iss. 4 : pp. 299–308

Abstract

In this paper the feasibility and stability of open-loop min-max model predictive control (OL-MMMPC) for systems with additive bounded uncertainties are considered. It is found that the OL-MMMPC may be infeasible and unstable if it is initially feasible. A sufficient condition for feasibility and stability of the OL-MMMPC is presented. Then an improved OL-MMMPC algorithm is proposed, which guarantees the robust stability of the closed-loop system once it is initially feasible. The effectiveness of this algorithm is illustrated by a simulation example.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CMR-19349

Communications in Mathematical Research , Vol. 25 (2009), Iss. 4 : pp. 299–308

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    additive bounded uncertainty predictive control feasibility stability.

Author Details

Junling Li

Shugong Zhang