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Linear parameter varying feedforward control synthesis using parameter-dependent Lyapunov function

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Abstract

This paper presents the dynamic feedforward control synthesis for linear parameter varying (LPV) systems. It is assumed that all system matrices are dependent on varying parameters, which are measurable with sensor or observable. The parameters have bounded variation rates. Parameter-dependent Lyapunov function is used for the feedforward control synthesis such that the robust stability is assured for all varying parameters at the time of the operation. The method is formulated in terms of linear matrix inequalities for LPV feedforward controller that guarantees the stability of the transfer matrix having \(L_{2}\)-gain. This compensator is designed by adding on the feedback controller in two degrees of freedom control configuration. This controller can be used for the disturbance attenuation or decreasing the tracking error. The numerical examples and simulations are given to provide the applicability of the proposed solution.

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Authors and Affiliations

  1. Computer Engineering Department, Engineering Faculty, Duzce University, Konuralp Campus, Duzce, Turkey

    Yusuf Altun

  2. Control and Automation Engineering Department, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul, Turkey

    Kayhan Gulez

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  1. Yusuf Altun
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  2. Kayhan Gulez
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Correspondence to Yusuf Altun.

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Altun, Y., Gulez, K. Linear parameter varying feedforward control synthesis using parameter-dependent Lyapunov function. Nonlinear Dyn 78, 2293–2307 (2014). https://doi.org/10.1007/s11071-014-1544-5

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