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Funnel control for nonlinear systems with higher relative degree

Berger, Thomas et al.

Proceedings in applied mathematics and mechanics: PAMM. Volume 18:Issue 1 (2018); pp n/a-n/a -- Wiley-VCH

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  • Title:
    Funnel control for nonlinear systems with higher relative degree
  • Author: Berger, Thomas;
    Lê, Huy Hoàng;
    Reis, Timo;
    Müller, G.;
    Ulbrich, M.
  • Found In: Proceedings in applied mathematics and mechanics: PAMM. Volume 18:Issue 1 (2018); pp n/a-n/a
  • Journal Title: Proceedings in applied mathematics and mechanics: PAMM
  • Subjects: Applied mathematics--Periodicals; Engineering mathematics--Periodicals; Mathematical physics--Periodicals; Dewey: 519
  • Rights: legaldeposit
  • Publication Details: Wiley-VCH
  • Abstract: Abstract:

    We consider tracking control for nonlinear multi‐input, multi‐output systems which have arbitrary strict relative degree and input‐to‐state stable internal dynamics. For a given reference signal, our aim is to design a controller which achieves that the tracking error evolves within a prespecified performance funnel around the reference signal. To this end, we introduce a new controller which involves the first r−1 derivatives of the tracking error, where r is the strict relative degree of the system.


  • Identifier: System Number: LDEAvdc_100090259839.0x000001; Journal ISSN: 1617-7061; 10.1002/pamm.201800059
  • Publication Date: 2018
  • Physical Description: Electronic
  • Shelfmark(s): ELD Digital store

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