Asymptotic stability and transient optimality of economic MPC without terminal conditions

By Lars Grüne, Marleen Stieler. 2014

156 citations recorded by the source corpus.

Abstract We consider an economic nonlinear model predictive control scheme without terminal constraints or costs. We give conditions based on dissipativity and controllability properties under which the closed loop is practically asymptotically stable. Under the same conditions we prove approximate transient optimality of the closed loop on finite time intervals. Two numerical examples illustrate our theoretical findings.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/24a30da0408b04e786ee6a73c485bb0287ca010e

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In Control and Systems Engineering

1. Lars Grüne
2. Xin Chen
3. Na Li
4. David Q. Mayne
5. Sigurdur Freyr Hafstein
6. Peter Giesl

Citations in the corpus

• Online Optimal Control with Linear Dynamics and Predictions: Algorithms and Regret Analysis (2019, background): “Recent years have seen a lot of attention on the optimality performance analysis of EMPC, under both time-invariant costs [17, 18, 19] and timevarying costs [20, 12, 14, 21, 22].”
• Approximation Properties of Receding Horizon Optimal Control (2016, background): “The respective results can be found in [32] and rely on an exponential turnpike property established in [16].”