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 - <p style="text-align: justify;">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.</p>