1. Model predictive control design for linear parameter varying systems: A survey
- Author
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Olivier Sename, Julio E. Normey-Rico, Marcelo Menezes Morato, Universidade Federal de Santa Catarina = Federal University of Santa Catarina [Florianópolis] (UFSC), GIPSA - Safe, Controlled and Monitored Systems (GIPSA-SAFE), GIPSA Pôle Automatique et Diagnostic (GIPSA-PAD), Grenoble Images Parole Signal Automatique (GIPSA-lab), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Grenoble Images Parole Signal Automatique (GIPSA-lab), and Université Grenoble Alpes (UGA)
- Subjects
Optimization ,0209 industrial biotechnology ,Linear Parameter Varying Systems ,Quadratic Programming ,Computer science ,020208 electrical & electronic engineering ,Ranging ,02 engineering and technology ,Nonlinear programming ,Nonlinear system ,Model predictive control ,020901 industrial engineering & automation ,Control and Systems Engineering ,Control theory ,0202 electrical engineering, electronic engineering, information engineering ,Embedding ,[NLIN]Nonlinear Sciences [physics] ,Quadratic programming ,Survey ,Control (linguistics) ,Model Predictive Control ,Software - Abstract
International audience; Motivated by the fact that many nonlinear plants can be represented through Linear Parameter Varying (LPV) embedding, and being this framework very popular for control design, this paper investigates the available Model Predictive Control (MPC) policies that can be applied for such systems. This paper reviews the available works considering LPV MPC design, ranging from the sub-optimal, simplified, yet Quadratic Programming (QP) algorithms, the tube-based tools, the set-constrained procedures, the Nonlinear Programming procedures and the robust ones; the main features of the recent research body on this topic are examined. A simulation example is given comparing some of the important techniques. Finally, some suggestions are given for future investigation threads, seeking further applicability of these methods.
- Published
- 2020