In this study, the problems of stabilisation for interval type-2 polynomial fuzzy systems with time-varying delay and parameter uncertainties are investigated. The objective is to design a state-feedback interval type-2 polynomial fuzzy controller such that the closed-loop control system is asymptotically stable. The conditions for the existence of such a controller are delay dependent and membership function dependent in terms of sum-of-squares (SOS). Based on a basic lemma to deal with the delay terms, the authors formulate and solve the problem with more flexibility due to imperfect premise matching that the number of rules and premise membership functions are not necessary the same between the interval type-2 polynomial fuzzy model and interval type-2 polynomial fuzzy controller. Piecewise linear membership functions approximations enclosing the original lower and upper membership functions are employed to facilitate the stability analysis. A numerical example indicates the effectiveness of the derived results.


    Access

    Download


    Export, share and cite



    Title :

    Control design for interval type-2 polynomial fuzzy-model-based systems with time-varying delay


    Contributors:
    Li, Yuandi (author) / Lam, Hak Keung (author) / Zhang, Lixian (author)

    Publication date :

    2017-09-22


    Remarks:

    Li , Y , Lam , H K & Zhang , L 2017 , ' Control design for interval type-2 polynomial fuzzy-model-based systems with time-varying delay ' Iet Control Theory And Applications , vol 11 , no. 14 , pp. 2270-2278 . DOI:10.1049/iet-cta.2016.1409



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629



    Tracking control design of interval type-2 polynomial-fuzzy-model-based systems with time-varying delay

    Xiao, Bo / Lam, H. K. / Yang, Xiaozhan et al. | BASE | 2018

    Free access



    Delay-dependent non-fragile H ∞ control for linear systems with interval time-varying delay

    Hui, J. J. / Zhang, H. X. / Kong, X. Y. | British Library Online Contents | 2015


    Observer-based control of positive polynomial fuzzy systems with unknown time delay

    Han, Meng / Lam, H. K. / Li, Yuandi et al. | BASE | 2019

    Free access