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Investigating stability for advisory train cruise control systems with aperiodic sampling measurements

Abstract

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.
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Dates and versions

hal-03408024 , version 1 (28-10-2021)

Identifiers

  • HAL Id : hal-03408024 , version 1

Cite

Ayush Kumar Jain, Christophe Fiter, Denis Berdjag, Philippe Polet. Investigating stability for advisory train cruise control systems with aperiodic sampling measurements. 23rd International Conference on Intelligent Transportation Systems (ITSC), Sep 2020, Rhodes, Greece. ⟨hal-03408024⟩
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