LAPSE:2023.8244
Published Article

LAPSE:2023.8244
Modeling and Finite-Horizon MPC for a Boiler-Turbine System Using Minimal Realization State-Space Model
February 24, 2023
Abstract
This paper aims to address a finite-horizon model predictive control (MPC) for non-linear drum-type boiler-turbine system using a system-identification method. Considering that the strong state coupling of a non-linear mechanism model, the subspace identification method is first utilized to obtain a linear state-space model, and transformed into an input−output model. By taking the inputs and outputs of the input−output model as system states, an augmented non-minimal state-space (NMSS) model of state measurable is constructed. In order to reduce the computation burden, the augmented NMSS model is further transformed into a canonical formulation by adopting a Kalman decomposition. Based on the minimal realization state-space model, the MPC controller is parameterized as a finite-horizon optimization problem. Finally, simulations are performed and evaluated the performance of the proposed method, and the simulation results show that: the linear model approximate the non-linear system accurately; the proposed MPC method can achieve a satisfactory stable control performance; and the computation time 18.388 s for the overall optimization problem also illustrates the real-time performance effectively.
This paper aims to address a finite-horizon model predictive control (MPC) for non-linear drum-type boiler-turbine system using a system-identification method. Considering that the strong state coupling of a non-linear mechanism model, the subspace identification method is first utilized to obtain a linear state-space model, and transformed into an input−output model. By taking the inputs and outputs of the input−output model as system states, an augmented non-minimal state-space (NMSS) model of state measurable is constructed. In order to reduce the computation burden, the augmented NMSS model is further transformed into a canonical formulation by adopting a Kalman decomposition. Based on the minimal realization state-space model, the MPC controller is parameterized as a finite-horizon optimization problem. Finally, simulations are performed and evaluated the performance of the proposed method, and the simulation results show that: the linear model approximate the non-linear system accurately; the proposed MPC method can achieve a satisfactory stable control performance; and the computation time 18.388 s for the overall optimization problem also illustrates the real-time performance effectively.
Record ID
Keywords
boiler-turbine system, Model Predictive Control, nominal stability, subspace identification, terminal constraint
Subject
Suggested Citation
Wang J, Ding B, Wang P. Modeling and Finite-Horizon MPC for a Boiler-Turbine System Using Minimal Realization State-Space Model. (2023). LAPSE:2023.8244
Author Affiliations
Wang J: College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqi [ORCID]
Ding B: College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqi
Wang P: College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqi
Ding B: College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqi
Wang P: College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqi
Journal Name
Energies
Volume
15
Issue
21
First Page
7935
Year
2022
Publication Date
2022-10-26
ISSN
1996-1073
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Original Submission
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PII: en15217935, Publication Type: Journal Article
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LAPSE:2023.8244
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https://doi.org/10.3390/en15217935
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Feb 24, 2023
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