Robust L2 Disturbance Attenuation for A Class of Uncertain Lipschitz Nonlinear Systems with Input Delay

Zongyu Zuo, Chunyan Wang, Yang Wen, Zhengtao Ding

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    Abstract

    In this paper, we study a robust L2 disturbance attenuation problem that arises
    when applying the Artstein-Kwon-Pearson reduction transformation for a class of uncertain Lipschitz nonlinear systems with input delay and external disturbances. A conventional predictor-based feedback controller is adopted with the control gain matrix carefully identified by solving a couple of sufficient conditions in terms of Linear Matrix Inequalities (LMIs). Lyapunov-Krasovskii functionals are constructed to guarantee that the robust L2 disturbance attenuation problem can be solved by
    the proposed controller. A numerical example is included to validate the performance of the proposed controller.
    Original languageEnglish
    JournalInternational Journal of Control
    Early online date20 Sep 2017
    DOIs
    Publication statusPublished - 2017

    Keywords

    • Disturbance attenuation
    • input delay
    • Lipschitz nonlinearity
    • parametric uncertainty
    • robust stabilization

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