Gain-Scheduling Composite Nonlinear Feedback Control for a Set of 2nd Order Linear Parameter-Varying Systems

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    Abstract

    We present in this paper gain-scheduling composite nonlinear feedback (CNF) control for a set of second-order linear parameter-varying (LPV) systems that capture commonly used plant models in automatic control. The selected three parameter-varying plant models are double integrator with a gain, a series connection of an integrator and a first order system, and a second-order system without integration. We assume that the parameters of the plant models depend on an exogenous scheduling signal, which is unknown a priori, but it is measurable online and available for feedback control. The resulting model-based parameter-varying CNF controller assigns certain predefined properties for the closedloop control system, which can be explained using linear time invariant (LTI) control theory. We demonstrate the proposed control structure with a simulation-based design example, in which a plant model is updated through a slowly varying scheduling signal, and, at the same time, the closed-loop system is commanded towards desired reference values. Our simulation results indicate that the closed-loop control system yields satisfactory tracking performance under parametervarying conditions.
    Original languageEnglish
    Title of host publication2018 European Control Conference (ECC)
    PublisherIEEE
    Pages521-526
    Number of pages6
    ISBN (Electronic)978-3-9524-2698-2
    ISBN (Print)978-1-5386-5303-6
    DOIs
    Publication statusPublished - 13 Jun 2018
    Publication typeA4 Article in a conference publication
    EventEuropean Control Conference -
    Duration: 1 Jan 1900 → …

    Conference

    ConferenceEuropean Control Conference
    Period1/01/00 → …

    Keywords

    • Linear parameter-varying systems
    • Robust control
    • Control design
    • Composite nonlinear feedback
    • Constrained control

    Publication forum classification

    • Publication forum level 1

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