Persistence of excitation, RBF approximation and periodic orbits

Gong Wang*, David J. Hill

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    6 Citations (Scopus)

    Abstract

    Satisfying the persistence of excitation (PE) condition is an important and yet challenging problem in system identification and adaptive control. In this paper, it is shown that a regressor vector consisted of radial basis functions can satisfy the PE condition. Specifically, for radial basis function networks (RBFN) constructed on a regular lattice, any periodic orbit that stays within the regular lattice can lead to the satisfaction of a partial PE condition. The significance of this result lies in that, with the partial PE condition satisfied, accurate RBFN approximation of unknown system dynamics can be achieved in a local region along the periodic orbit. This result will be very useful in identification, control and recognition of nonlinear systems using RBFN.

    Original languageEnglish
    Title of host publicationProceedings of the 5th International Conference on Control and Automation, ICCA'05
    Pages547-552
    Number of pages6
    Publication statusPublished - 2005
    Event5th International Conference on Control and Automation, ICCA'05 - Budapest, Hungary
    Duration: 27 Jun 200529 Jun 2005

    Publication series

    NameProceedings of the 5th International Conference on Control and Automation, ICCA'05

    Conference

    Conference5th International Conference on Control and Automation, ICCA'05
    Country/TerritoryHungary
    CityBudapest
    Period27/06/0529/06/05

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