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arXiv · 2304.08147

Convex NMPC reformulations for a special class of nonlinear multi-input systems with application to rank-one bilinear networks

Manuel Klädtke·Moritz Schulze Darup
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Abstract

We show that a special class of (nonconvex) NMPC problems admits an exact solution by reformulating them as a finite number of convex subproblems, extending previous results to the multi-input case. Our approach is applicable to a special class of input-affine discrete-time systems, which includes a class of bilinear rank-one systems that is considered useful in modeling certain controlled networks. We illustrate our results with two numerical examples, including the aforementioned rank-one bilinear network.

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Manuel Klädtke, Moritz Schulze Darup. 2023-04-17. Convex NMPC reformulations for a special class of nonlinear multi-input systems with application to rank-one bilinear networks. https://doi.org/10.1016/j.ifacol.2023.10.1321

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