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arXiv · 1911.03210

Stability and performance in transient average constrained economic MPC without terminal constraints

Mario Rosenfelder·Johannes Köhler·Frank Allgöwer
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Abstract

In this paper, we investigate system theoretic properties of transient average constrained economic model predictive control (MPC) without terminal constraints. We show that the optimal open-loop solution passes by the optimal steady-state for consecutive time instants. Using this turnpike property and suitable controllability conditions, we provide closed-loop performance bounds. Furthermore, stability is proved by combining the rotated value function with an input-to-state (ISS) Lyapunov function of an extended state related to the transient average constraints. The results are illustrated with a numerical example.

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Mario Rosenfelder, Johannes Köhler, Frank Allgöwer. 2019-11-08. Stability and performance in transient average constrained economic MPC without terminal constraints. https://arxiv.org/abs/1911.03210

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