Doctor of Philosophy, The Ohio State University, 2018, Mechanical Engineering
All human movement, whether walking, running, hopping, reaching, or grasping, must be robust with respect to unforeseen perturbations. Some of these perturbations are small and occur almost constantly due to muscle and sensor noise, which are internally generated, or minor fluctuations and imperfections in the external environment. Other perturbations, such as a trip or a push, can be larger and have a greater effect on movement. These perturbations can be applied by another human, large obstacles, or even an attached device such as an exoskeleton or an assistive device. In this thesis, we use mathematical models to examine energy-optimal locomotion, focusing on how humans may walk optimally. Specifically we focus on how they may reject perturbations effectively with the least effort during legged locomotion.
In the first part, we propose a new, simplified, three-dimensional model of human locomotion, having a 3D rigid body torso, actuated massless legs, and hip torques. This model provides insight into the features of human bipedal locomotion that cannot be captured by point-mass models, in particular those that relate to the control of upper body orientation. Further, this 3D model shows that walking can be less expensive with a 3D upper body, suggesting why previous point-mass models may have over-estimated the energy cost of walking. Our new model maintains the simplicity of understanding and implementation provided by the point-mass model while having greater applicability to the realistic control of humans and bipedal robots.
In the second part, we discuss dynamics and optimality in perturbation rejection using simple mathematical models of human walking and running. We show that energy optimal perturbation recovery predicts features of the control seen previously in human locomotion -- for instance, using appropriate foot placement to redirect the leg force to correct for center of mass state deviations from the nominal. Leg force during stance phase is (open full item for complete abstract)
Committee: Manoj Srinivasan (Advisor)
Subjects: Mechanical Engineering