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Robust Control for T-S Fuzzy Multi-particle Model of High-speed Train with Disturbances and Time-varying Delays

Rui Shi and Guangtian Shi*
International Journal of Control, Automation, and Systems, vol. 20, no. 9, pp.3063-3074, 2022

Abstract : This paper concerns the networked control issue of the speed and displacement of high-speed train (HST) with two independent time-varying delays in presence both in coupler forces and data transmission procedures. The dynamic of high-speed train is firstly described by a group of multiple particle models based on Takagi-Sugeno (TS) fuzzy descriptions. Afterwards, the system states are measured by the sensor and further transmitted to the remote controller via communication network. By using the available time-delayed state information, an output feedback control is mainly proposed. Since the process and network time-varying delays are simultaneously involved, a mode-dependent Lyapunov-Krasovskii functional (LKF) is constructed for achieving the mean-square exponential asymptotic stability (MSEAS) of the closed-loop systems. By assisting of a linear decoupling method, the controller design method is conveniently obtained. Finally, a numerical example is also provided to illustrate the effectiveness of the proposed method.

Keyword : Displacement and speed control, high-speed train, robust static output feedback control, T-S fuzzy multi-particle model.

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