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arXiv · 2202.03256

Model predictive control for singular differential-algebraic equations

Achim Ilchmann·Jonas Witschel·Karl Worthmann
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Abstract

We study model predictive control for singular differential-algebraic equations with higher index. This is a novelty when compared to the literature where only regular differential-algebraic equations with additional assumptions on the index and/or controllability are considered. By regularization techniques, we are able to derive an equivalent optimal control problem for an ordinary differential equation to which well-known model predictive control techniques can be applied. This allows the construction of terminal constraints and costs such that the origin is asymptotically stable w.r.t. the resulting closed-loop system.

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Achim Ilchmann, Jonas Witschel, Karl Worthmann. 2022-02-07. Model predictive control for singular differential-algebraic equations. https://doi.org/10.1080/00207179.2021.1900604

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