Stability proof for nonlinear MPC design using monotonically increasing\n weighting profiles without terminal constraints

2017/03/08 by Mazen Alamir, Alamir, Mazen
Engineering · #Advanced Control Systems Optimization #Control Systems and Identification #FOS: Electrical engineering #Fault Detection and Control Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1703.02761

openalex publication_date 2017/03/08 · openalex created_date 2022/08/22 · openalex updated_date 2026/07/28

Abstract

In this note, a new formulation of Model Predictive Control (MPC) framework\nwith no stability-related terminal constraint is proposed and its stability is\nproved under mild standard assumptions. The novelty in the formulation lies in\nthe use of time-varying monotonically increasing stage cost penalty. The main\nresult is that the 0-reachability prediction horizon can always be made\nstabilizing provided that the increasing rate of the penalty is made\nsufficiently high.\n

Citations

• Constrained model predictive control: Stability and optimality

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