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Analytical design of the Acrobot exponential tracking with applicationt to its walking

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F09%3A00160627" target="_blank" >RIV/68407700:21230/09:00160627 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Analytical design of the Acrobot exponential tracking with applicationt to its walking

  • Original language description

    This paper aims to further improve previously developed design for the Acrobot walking based on the partial exact feedback linearization of order 3. Namely, such an exact system transformation leads to an almost linear system where error dynamics along trajectory to be tracked is a 4 dimensional linear time varying system having 3 time varying entries only, the remaining entries are either zero or equal to one. Previously, the exponentially stable tracking was obtained by solving quadratic stability ofa linear system with polytopic uncertainty applying LMI methods to solve this problem numerically. Here, the new approach is presented allowing to design the tracking feedback and to prove the corresponding stability completely analytically. Moreover, this approach gives even better results than the LMI based one in the sense of the convergence speed.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA102%2F08%2F0186" target="_blank" >GA102/08/0186: Algorithms for Complex Systems Analysis and Control Design</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2009

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of The 7th IEEE International Conference on Control & Automation (ICCA'09)

  • ISBN

    978-1-4244-4706-0

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

  • Publisher name

    IEEE New Zeland South Section

  • Place of publication

    Christchurch, New Zeland

  • Event location

    Christchurch

  • Event date

    Dec 9, 2009

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article