Robust controller design for a class of time delay systems with uncertainty

Shurong Li, Yang Qing, Xiuli Xue

    Research output: Chapter in Book/Report/Conference proceedingConference contribution


    In this paper, a class of single input single output time-delay nonlinear systems with uncertainty is considered. Based on an iterative procedure known as backstepping, the Lyapunov-Krasovskii functionals are constructed at each step. By magnifying inequation at each step, a robust controller expression can be acquired, and the uniformly ultimately boundedness of the closed loop system can be guaranteed. A practice industry process - a two stage CSTR has been provided to illustrate the application of the main result. The simulation shows that the controller proposed in this paper has well control behavior.

    Original languageEnglish
    Title of host publicationProceedings of the 26th Chinese Control Conference, CCC 2007
    Number of pages5
    Publication statusPublished - 2007
    Event26th Chinese Control Conference - Zhangjiajie, China
    Duration: 26 Jul 200731 Jul 2007


    Conference26th Chinese Control Conference
    Abbreviated titleCCC 2007


    • Backstepping
    • Lyapunov-Krasovskii functional
    • Nonlinear systems
    • Time delay


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