A Hybrid System Approach to Exponential Stability with Sampled-data Control for a Class of Linear Hyperbolic Systems ⋆
| Autor: | Laurentiu Hetel, Ying Tang, Xinyong Wang, Christophe Fiter |
|---|---|
| Přispěvatelé: | Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL] |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Lyapunov function
020301 aerospace & aeronautics 0209 industrial biotechnology exponential stability Open-loop controller 02 engineering and technology State (functional analysis) Linear hyperbolic systems sampled-data control hybrid approach Stability (probability) Constraint (information theory) symbols.namesake 020901 industrial engineering & automation Quadratic equation 0203 mechanical engineering Exponential stability Control and Systems Engineering Hybrid system symbols [INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY] Applied mathematics Mathematics |
| Zdroj: | 7th IFAC Conference on Analysis and Design of Hybrid Systems 7th IFAC Conference on Analysis and Design of Hybrid Systems, Jul 2021, Brussels, Belgium ADHS |
| Popis: | International audience; In this paper, we address the problem of exponential stability for a class of linear hyperbolic systems with distributed sampled-data control. First, we recast the original system into a hybrid model via an augmented system approach. Using this model, the link between the sampling interval, the system state and its sampled vector is characterized by an Integral Quadratic Constraint (IQC). The obtained IQC is used for deriving numerically tractable stability criteria. The method is illustrated by an open loop unstable numerical example. |
| Databáze: | OpenAIRE |
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