Open AccessRobust shrinking ellipsoid model predictive control for linear parameter varying system
Author(s) -
Longge Zhang,
Yan Yan
Publication year - 2017
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0178625
Subject(s) - ellipsoid , computation , control theory (sociology) , model predictive control , linear matrix inequality , linear system , linear model , function (biology) , mathematics , computer science , mathematical optimization , control (management) , mathematical analysis , algorithm , physics , statistics , artificial intelligence , astronomy , biology , evolutionary biology
In this paper, a new off-line model predictive control strategy is presented for a kind of linear parameter varying system with polytopic uncertainty. A nest of shrinking ellipsoids is constructed by solving linear matrix inequality. By splitting the objective function into two parts, the proposed strategy moves most computations off-line. The on-line computation is only calculating the current control to assure the system shrinking into the smaller ellipsoid. With the proposed formulation, the stability of the closed system is proved, followed with two numerical examples to demonstrate the proposed method’s effectiveness in the end.