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Published May 1990 | Published
Book Section - Chapter Open

Chaotic motions in the dynamics of a hopping robot


Discrete dynamical systems theory is applied to the dynamic stability analysis of a simplified hopping robot. A Poincare return map is developed to capture the system dynamics behavior, and two basic nondimensional parameters which influence the systems dynamics are identified. The hopping behavior of the system is investigated by constructing the bifurcation diagrams of the Poincare return map with respect to these parameters. The bifurcation diagrams show a period-doubling cascade leading to a regime of chaotic behavior, where a strange attractor is developed. One feature of the dynamics is that the strange attractor can be controlled and eliminated by tuning an appropriate parameter corresponding to the duration of applied hopping thrust. Physically, the collapse of the strange attractor leads to globally stable uniform hopping motion.

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© 1990 IEEE.

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