1. Investigating stability for advisory train cruise control systems with aperiodic sampling measurements
- Author
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Jain, Ayush Kumar, Fiter, Christophe, Berdjag, Denis, Polet, Philippe, 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), Université de Lille, Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 (LAMIH), Centre National de la Recherche Scientifique (CNRS)-Université Polytechnique Hauts-de-France (UPHF)-INSA Institut National des Sciences Appliquées Hauts-de-France (INSA Hauts-De-France), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)
- Subjects
Aerodynamics ,Stability criteria ,Mathematical model ,Closed loop systems ,Cruise control ,Task analysis ,State feedback ,[SPI.AUTO]Engineering Sciences [physics]/Automatic - Abstract
International audience; In this paper, the advisory train cruise control stability with a driver in the loop is investigated, where the driver's state is measured by an external device. A novel stability criterion is proposed, aware of the varying behaviour of the driver in the system. For this purpose, the driver is modelled as a time varying system, and the dynamic model of the train is formed by considering rolling and aerodynamic resistance forces. In order to ascertain stability, a sampled- data based state feedback controller is considered. Converting the sampling period into a bounded time-varying delay, the addressed problem is transformed to the problem of stability analysis of time-varying delayed system. Based on Lyapunov stability theory, a novel Lyapunov Krasovskii Functional (LKF) is designed to provide sufficient conditions for the existence of L 2 stability of the system in terms of solvable Linear Matrix Inequalities. A case study is given to illustrate the effectiveness of the proposed method.
- Published
- 2020