Distributed Model Predictive Control for Piecewise Affine Systems Based on Switching ADMM

In this article, we present a novel approach for distributed model predictive control (MPC) for piecewise affine (PWA) systems. Existing approaches rely on solving mixed-integer optimization problems, requiring significant computation power or time. We propose a distributed MPC scheme that requires...

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Vydáno v:IEEE transactions on automatic control Ročník 70; číslo 6; s. 3727 - 3741
Hlavní autoři: Mallick, Samuel, Dabiri, Azita, De Schutter, Bart
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.06.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:0018-9286, 1558-2523
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Shrnutí:In this article, we present a novel approach for distributed model predictive control (MPC) for piecewise affine (PWA) systems. Existing approaches rely on solving mixed-integer optimization problems, requiring significant computation power or time. We propose a distributed MPC scheme that requires solving only convex optimization problems. The key contribution is a novel method, based on the alternating direction method of multipliers, for solving the nonconvex optimal control problem that arises due to the PWA dynamics. We present a distributed MPC scheme, leveraging this method, that explicitly accounts for the coupling between subsystems by reaching agreement on the values of coupled states. Stability and recursive feasibility are shown under additional assumptions on the underlying system. Two numerical examples are provided, in which the proposed controller is shown to significantly improve the CPU time and closed-loop performance over existing state-of-the-art approaches.
Bibliografie:ObjectType-Article-1
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content type line 14
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2024.3512334