Stabilization of the strongly damping inertia wheel pendulum by a nested saturation functions

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Abstract

The stabilization of the strongly damping inertia wheel pendulum around its unstable equilibrium point is presented in this paper. The fact that this system can be rewritten approximately as a chain of integrators with and nonlinear perturbation suggests the use of a nested saturation based controller for making all state variables converge to zero. The proposed control strategy makes the closed-loop system globally asymptotically and locally exponentially stable around the unstable inverted vertical position, even when the physical damping is presented in the model.

Original languageEnglish
Title of host publication2008 American Control Conference, ACC
Pages3434-3439
Number of pages6
DOIs
StatePublished - 2008
Event2008 American Control Conference, ACC - Seattle, WA, United States
Duration: 11 Jun 200813 Jun 2008

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2008 American Control Conference, ACC
Country/TerritoryUnited States
CitySeattle, WA
Period11/06/0813/06/08

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