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New Insights on Robust Control of Tilting Trains with Combined Uncertainty and Performance Constraints

Author

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  • Fazilah Hassan

    (School of Electrical Engineering, Universiti Teknologi Malaysia, Skudai 81300, Johor, Malaysia
    These authors contributed equally to this work.)

  • Argyrios Zolotas

    (Centre for Autonomous and Cyber-Physical Systems, SATM, Cranfield University, Cranfield MK43 0AL, UK
    These authors contributed equally to this work.)

  • George Halikias

    (Department of Mathematics, National and Kapodistrian University of Athens, University Campus, 15784 Athens, Greece
    These authors contributed equally to this work.)

Abstract

A rigorous study on optimized robust control is presented for non-preview (nulling-type) high-speed tilting rail vehicles. The scheme utilizes sensors on the vehicle’s body, contrary to that of preview tilt (which uses prior rail track information). Tilt with preview is the industrial norm nowadays but is a complex scheme (both in terms of inter-vehicle signal connections and when it comes to straightforward fault detection). Non-preview tilt is simple (as it essentially involves an SISO control structure) and more effective in terms of (the localization of) failure detection. However, the non-preview tilt scheme suffers from performance limitations due to non-minimum-phase zeros in the design model (due to the compound effect of the suspension dynamic interaction and sensor combination used for feedback control) and presents a challenging control design problem. We proposed an optimized robust control design offering a highly improved non-preview tilt performance via a twofold model representation, i.e., (i) using the non-minimum phase design model and (ii) proposing a factorized design model version with the non-minimum phase characteristics treated as uncertainty. The impact of the designed controllers on tilt performance deterministic (curving acceleration response) and stochastic (ride quality) trade-off was methodically investigated. Nonlinear optimization was employed to facilitate fine weight selection given the importance of the ride quality as a bounded constraint in the design process.

Suggested Citation

  • Fazilah Hassan & Argyrios Zolotas & George Halikias, 2023. "New Insights on Robust Control of Tilting Trains with Combined Uncertainty and Performance Constraints," Mathematics, MDPI, vol. 11(14), pages 1-19, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3057-:d:1191117
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    References listed on IDEAS

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    1. Humam Al-Baidhani & Abdullah Sahib & Marian K. Kazimierczuk, 2023. "State Feedback with Integral Control Circuit Design of DC-DC Buck-Boost Converter," Mathematics, MDPI, vol. 11(9), pages 1-18, May.
    2. Roger Vickerman, 1997. "High-speed rail in Europe: experience and issues for future development," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 31(1), pages 21-38.
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    Cited by:

    1. Ba Huy Nguyen & Igor B. Furtat, 2023. "Output Stabilization of Linear Systems in Given Set," Mathematics, MDPI, vol. 11(16), pages 1-16, August.

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