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Theoretical and algorithmic advances in multi-parametric programming and control

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Abstract

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.

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  1. Centre for Process Systems Engineering, London, UK

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

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  1. Efstratios N. Pistikopoulos
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Pistikopoulos, E.N., Dominguez, L., Panos, C. et al. Theoretical and algorithmic advances in multi-parametric programming and control. Comput Manag Sci 9, 183–203 (2012). https://doi.org/10.1007/s10287-012-0144-4

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