NMPC without terminal constraints

By Lars Grüne. 2012

146 citations recorded by the source corpus.

Abstract This paper provides a survey on recent results on NMPC without terminal constraints. We investigate stability, performance and feasibility issues, both for classical stabilizing NMPC and for economic NMPC. Besides explaning and comparing different approaches obtained during the last couple of years, the paper also contains previously unpublished results and proofs for exponential convergence of economic NMPC performance and for recursive feasibility of stabilizing NMPC without stabilizing terminal constraints. Several examples are presented to illustrate our findings.

Subfields: Control and Systems Engineering, Economics and Econometrics

View Paper: https://www.semanticscholar.org/paper/9eff3c56298990de3791afec4e453bf6ad3a2685

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In Control and Systems Engineering

In Economics and Econometrics

Citations in the corpus

Data-Driven Model Predictive Control With Stability and Robustness Guarantees (2019, methodology): “It is well-known that MPC without terminal constraints requires a sufficiently long prediction horizon to ensure stability and constraint satisfaction [23], [24].”
Model predictive control: Recent developments and future promise (2014, methodology): “A helpful introduction to these results is given in the paper (Grüne, 2012) which also provides references to significant earlier papers including Primbs and Nevistić (2000).”
Learning an Approximate Model Predictive Controller With Guarantees (2018, background): “In MPC without terminal constraints, stability of the closed loop system can be shown by choosing the prediction horizon large enough under some controllability assumptions [19, 20].”