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Model predictive control of constrained piecewise affine discrete‐time systems
Author(s) -
Mayne D. Q.,
Raković S.
Publication year - 2003
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.817
Subject(s) - model predictive control , control theory (sociology) , affine transformation , stability (learning theory) , piecewise , nonlinear system , convergence (economics) , mathematics , mathematical optimization , class (philosophy) , computer science , control (management) , artificial intelligence , machine learning , mathematical analysis , physics , quantum mechanics , pure mathematics , economics , economic growth
The paper deals with model predictive control of a class of non‐smooth nonlinear systems, namely piecewise affine systems. A novel procedure for solving the associated optimal control problem is presented and its convergence established. Stability properties of the closed‐loop system using model predictive control with the new algorithm are derived. Examples illustrate the proposed algorithm for determining optimal control of constrained piecewise affine systems and the performance of the closed‐loop system. Copyright © 2003 John Wiley & Sons, Ltd.