Modelling and Optimal Control of MIMO System - France Macroeconomic Model Case

Zhao, Z.; Robu, Bogdan; Landau, Ioan; Dugard, Luc; Marchand, Nicolas; Job, Louis

doi:10.23919/ECC57647.2023.10178184

Modelling and Optimal Control of MIMO System - France Macroeconomic Model Case

Title

Modelling and Optimal Control of MIMO System - France Macroeconomic Model Case

Author

Zhao, Z. (TU Delft Data-Intensive Systems; Université Grenoble Alpes)
Robu, Bogdan (Université Grenoble Alpes)
Landau, Ioan (Université Grenoble Alpes)
Dugard, Luc (Université Grenoble Alpes)
Marchand, Nicolas (Université Grenoble Alpes)
Job, Louis (Université Grenoble Alpes)

Date

2023

Abstract

In this paper, we focus on the French Macro-economic model. We use real economic data, available as time series, starting from 1980s and openly provided by the INSEE. Variables such as Gross Domestic Production, Exportation, Importation, Household Consumption, Gross Fixed Capital Formation and Public expenditure are included in the analysis. Our objective is to maintain a constant economic growth rate according to the available resources. We implement an optimal control policy via LQR to achieve that. Since we aim to maintain a constant growth rate, the control system is modified for this purpose. We prove the efficiency with three experiments based on real data, and we test the method robustness with respect to: (1) variation of LQR parameters, (2) realistic constraints on inputs, and (3) perturbations on outputs. Results show that our designed control system can guide the output to the desired growth rate.MIMO model, LQR, Optimal control, Macroeconomic data.

To reference this document use:

http://resolver.tudelft.nl/uuid:579c9146-8dee-48e6-9af2-c0f795a71b8c

DOI

https://doi.org/10.23919/ECC57647.2023.10178184

Publisher

IEEE

Embargo date

2024-01-22

ISBN

9783907144084

Source

2023 European Control Conference, ECC 2023