Theoretical and algorithmic advances in multi-parametric programming and control

Efstratios N. Pistikopoulos, Luis Dominguez, Christos Panos, Konstantinos Kouramas, Altannar Chinchuluun

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


This paper presents an overview of recent theoretical and algorithmic advances, and applications in the areas of multi-parametric programming and explicit/multi-parametric model predictive control (mp-MPC). In multi-parametric programming, advances include areas such as nonlinear multi-parametric programming (mp-NLP), bi-level programming, dynamic programming and global optimization for multi-parametric mixed-integer linear programming problems (mp-MILPs). In multi-parametric/explicit MPC (mp-MPC), advances include areas such as robust multi-parametric control, multi-parametric nonlinear MPC (mp-NMPC) and model reduction in mp-MPC. A comprehensive framework for multi-parametric programming and control is also presented. Recent applications include a hydrogen storage device, a fuel cell power generation system, an unmanned autonomous vehicle (UAV) and a hybrid pressure swing adsorption (PSA) system. © 2012 Springer-Verlag.
Original languageEnglish (US)
Pages (from-to)183-203
Number of pages21
JournalComputational Management Science
Issue number2
StatePublished - Apr 21 2012
Externally publishedYes


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