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Volume 25, Issue 4
Feasibility and Stability of a Kind of Model Predictive Control with Additive Uncertainties

Junling Li & Shugong Zhang

Commun. Math. Res., 25 (2009), pp. 299-308.

Published online: 2021-07

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  • 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.

  • Keywords

additive bounded uncertainty, predictive control, feasibility, stability.

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COPYRIGHT: © Global Science Press

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@Article{CMR-25-299, author = {Li , Junling and Zhang , Shugong}, title = {Feasibility and Stability of a Kind of Model Predictive Control with Additive Uncertainties}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {25}, number = {4}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19349.html} }
TY - JOUR T1 - Feasibility and Stability of a Kind of Model Predictive Control with Additive Uncertainties AU - Li , Junling AU - Zhang , Shugong JO - Communications in Mathematical Research VL - 4 SP - 299 EP - 308 PY - 2021 DA - 2021/07 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19349.html KW - additive bounded uncertainty, predictive control, feasibility, stability. AB -

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.

Li , Junling and Zhang , Shugong. (2021). Feasibility and Stability of a Kind of Model Predictive Control with Additive Uncertainties. Communications in Mathematical Research . 25 (4). 299-308. doi:
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