- 公益社団法人 計測自動制御学会
- 計測自動制御学会論文集 (ISSN:04534654)
- vol.55, no.4, pp.305-312, 2019 (Released:2019-04-16)
This paper is concerned with nonlinear analysis of a 1-d.o.f. vertical hopping robot, composed of its body, foot and a DC motor with crank mechanism. We show that its hopping motion under a constant voltage converges into a stable limit cycle, through physical experiments and numerical simulations. We then clarify this stabilization mechanism based on a simplified mathematical model, by showing that the negative torque-velocity correlation (weakness) of DC motors plays as a feedback law for stabilization. We also show that the limit cycles exhibit period-doubling bifurcation as the applied voltage increases, and the corresponding bifurcation diagram is affected by the weakness parameter of the DC motor.