Journal ArticleDOI
Nonlinear Attitude Dynamics of Twin Cycle with Feedback Control
Edge C. Yeh,Shyh-Leh Chen +1 more
TLDR
In this article, the nonlinear attitude dynamics of a twin cycle under output feedback control is studied through bifurcation analysis, and large negative feedback gains are found necessary to assure stability of the twin cycle.Abstract:
The nonlinear attitude dynamics of a twin cycle under output feedback control is studied through bifurcation analysis. Two cases are considered. One assumes no slip and the other assumes small slip. The double zero bifurcation is found to occur in both cases but with different bifurcation sets. Among them heteroclinic orbits are found in both cases and a limit cycle in the second case. The region of feedback gains for stability is obtained. Large negative feedback gains are found necessary to assure stability of the twin cycle. Finally, the tire effect is studied and it causes the distortion of the bifurcation sets.read more
References
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Book
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
J. Guckenheimer,P. J. Holmes +1 more
TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
Proceedings ArticleDOI
An Analysis of Tire Traction Properties and Their Influence on Vehicle Dynamic Performance
Journal ArticleDOI
Some aspects of the inverted pendulum problem for modeling of locomotion systems
TL;DR: The inverted pendulum can be used as one of the simplest models of a biped locomotion system as discussed by the authors, and problems of stability, periodic motion, and locomotion are considered in this paper.
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