Robust stabilization of an elementary logistic system with an input delay
| Autor: | Berna Bou Farraa, Rosa Abbou, Jean Jacques Loiseau |
|---|---|
| Přispěvatelé: | Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT) |
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Computer science 020208 electrical & electronic engineering Control (management) Stability (learning theory) 02 engineering and technology State (functional analysis) Set (abstract data type) [SPI]Engineering Sciences [physics] Range (mathematics) 020901 industrial engineering & automation predictor-feedback structure Input-delay system system constraints Control and Systems Engineering Robustness (computer science) Control theory 0202 electrical engineering electronic engineering information engineering robust study input-output flow variations Affine transformation inventory control delay uncertainty |
| Zdroj: | IFAC World Congress 2020 IFAC World Congress 2020, Jul 2020, Berlin, Germany. pp.4363-4368, ⟨10.1016/j.ifacol.2020.12.063⟩ |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2020.12.063 |
| Popis: | International audience; In this paper, we are interested in the robustness analysis of an elementary logistic system having a fixed loss factor on the inventory level and uncertainties on the production delay. The problem is treated in control theory domain, where the model is considered as an input time delay system characterized by positivity and saturation constraints, and an external disturbance. Indeed, we apply a prediction state feedback control strategy using an affine control law, where the prediction of the future inventory level is based on a delay estimation of the delay uncertainty. Hence, the objective of the study is to quantify the impact of the uncertainty induced by this estimation on the performance of the controlled system. First, we use a frequency-domain technique to identify the robust stability condition in the set of parameters. In particular, we specify the range of the delay deviation such that the closed-loop system stability is guaranteed. Then, we move on to define the input-output flow variations that allows to check the system constraints, based on the invariance properties. Finally, a comparative simulation is provided to highlight the advantages of this study. |
| Databáze: | OpenAIRE |
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