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Closed-loop data-enabled predictive control and its equivalence with closed-loop subspace predictive control

delete2025-09-07
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OA
AI
R
Rogier Dinkla *
T
Tom Oomen
S
Sebastiaan Paul Mulders
J
Jan‐Willem van Wingerden
DOI:10.1016/j.automatica.2025.112556delete
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Abstract

Abstract

En 中文
Factors like growing data availability and increasing system complexity have sparked interest in data-driven predictive control (DDPC) methods like Data-enabled Predictive Control (DeePC). However, closed-loop identification bias arises in the presence of noise, which reduces the effectiveness of obtained control policies. In this paper we propose Closed-loop Data-enabled Predictive Control (CL-DeePC), a framework that unifies different approaches to address this challenge. To this end, CL-DeePC incorporates instrumental variables (IVs) to synthesize and sequentially apply consistent single or multi-step-ahead predictors. Furthermore, a computationally efficient CL-DeePC implementation is developed that reveals an equivalence with Closed-loop Subspace Predictive Control (CL-SPC). Time marching simulations of DeePC and CL-DeePC are conducted using Hankel matrices of past data that are updated at every time step to induce potentially troublesome closed-loop correlations between inputs and noise. Compared to DeePC, CL-DeePC simulations demonstrate superior reference tracking, with a sensitivity study finding a 48% lower susceptibility to noise-induced reference tracking performance degradation.
Keywords:
Data-driven predictive control
Data-enabled predictive control
Closed-loop identification
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Journal

Automatica cover
Automatica
IF:
5.9
Papers:
1.2W
Citations:
5.2W

Organization

D
Delft University of Technology
Scholars:
2.6W
Papers: 2.5W
Citations: 3.8W