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  • This article aims to further improve previously developed design for Acrobot walking based on partial exact feedback linearisation 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 three time-varying entries only, the remaining entries being either zero or one. In such a way, exponentially stable tracking can be obtained by quadratically stabilising a linear system with polytopic uncertainty. The current improvement is based on applying linear matrix inequalities (LMI) methods to solve this problem numerically. This careful analysis significantly improves previously known approaches. Numerical simulations of Acrobot walking based on the above-mentioned LMI design are demonstrated as well.
  • This article aims to further improve previously developed design for Acrobot walking based on partial exact feedback linearisation 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 three time-varying entries only, the remaining entries being either zero or one. In such a way, exponentially stable tracking can be obtained by quadratically stabilising a linear system with polytopic uncertainty. The current improvement is based on applying linear matrix inequalities (LMI) methods to solve this problem numerically. This careful analysis significantly improves previously known approaches. Numerical simulations of Acrobot walking based on the above-mentioned LMI design are demonstrated as well. (en)
Title
  • Advanced LMI based analysis and design for Acrobot walking
  • Advanced LMI based analysis and design for Acrobot walking (en)
skos:prefLabel
  • Advanced LMI based analysis and design for Acrobot walking
  • Advanced LMI based analysis and design for Acrobot walking (en)
skos:notation
  • RIV/67985556:_____/10:00345550!RIV11-MSM-67985556
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/08/0186), P(LA09026), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika
  • 8
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 245508
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/10:00345550
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • linear matrix inequalities; underactuated mechanical systems; walking robots (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [EB7D7F1F706D]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Control
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 83
http://linked.open...iv/tvurceVysledku
  • Čelikovský, Sergej
  • Anderle, Milan
  • Zikmund, Jiří
  • Henrion, D.
http://linked.open...ain/vavai/riv/wos
  • 000280267400009
http://linked.open...n/vavai/riv/zamer
issn
  • 0020-7179
number of pages
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