TY - GEN
T1 - Data-Driven Loewner Matrices-Based Modeling and Model Predictive Control of a Single Machine Infinite Bus Model
AU - Ionescu, T. C.
AU - Iftime, O. V.
AU - Necoara, I.
N1 - Publisher Copyright:
© 2024 IEEE.
PY - 2024/6/27
Y1 - 2024/6/27
N2 - In this paper, we consider the problem of data-driven modelling and model predictive control (MPC) of a single machine infinite bus system (SMIB). When a linear state-space model of the plant is not available, a pair of Loewner matrices is constructed from a set of measured input-output data and a set of prescribed poles. We prove that the Loewner matrices are the solutions of two Sylvester equations. We compute the unique linear model of an order equal to the dimension of the data sets, that interpolates the input-output data and that has all the poles prescribed at the selected locations. As an application we perform MPC on both the original system and its approximant. The simulation show that the linear data-driven model is a good approximation of the SMIB and achieves good closed-loop MPC performance.
AB - In this paper, we consider the problem of data-driven modelling and model predictive control (MPC) of a single machine infinite bus system (SMIB). When a linear state-space model of the plant is not available, a pair of Loewner matrices is constructed from a set of measured input-output data and a set of prescribed poles. We prove that the Loewner matrices are the solutions of two Sylvester equations. We compute the unique linear model of an order equal to the dimension of the data sets, that interpolates the input-output data and that has all the poles prescribed at the selected locations. As an application we perform MPC on both the original system and its approximant. The simulation show that the linear data-driven model is a good approximation of the SMIB and achieves good closed-loop MPC performance.
UR - http://www.scopus.com/inward/record.url?scp=85198220702&partnerID=8YFLogxK
U2 - 10.1109/MED61351.2024.10566187
DO - 10.1109/MED61351.2024.10566187
M3 - Conference contribution
AN - SCOPUS:85198220702
T3 - Mediterranean Conference on Control and Automation (MED)
SP - 610
EP - 615
BT - 2024 32nd Mediterranean Conference on Control and Automation, MED 2024
PB - IEEE
T2 - 32nd Mediterranean Conference on Control and Automation, MED 2024
Y2 - 11 June 2024 through 14 June 2024
ER -