Date of Award
Spring 4-2018
Access Type
Dissertation - Open Access
Degree Name
Doctor of Philosophy in Engineering Physics
Department
Physical Sciences
Committee Chair
Mahmut Reyhanoglu
First Committee Member
William MacKunis
Second Committee Member
Yechiel J. Crispin
Third Committee Member
John M. Hughes
Abstract
This thesis study motion of a class of non-holonomic systems using geometric mechanics, that provide us an efficient way to formulate and analyze the dynamics and their temporal evolution on the configuration manifold. The kinematics equations of the system, viewed as a rigid body, are constrained by the requirement that the system maintain contact with the surface. They describe the constrained translation of the point of contact on the surface. In this thesis, we have considered three different examples with nonholonomic constraint i-e knife edge or pizza cutter, a circular disk rolling without slipping, and rolling sphere. For each example, the kinematics equations of the system are defined without the use of local coordinates, such that the model is globally defined on the manifold without singularities or ambiguities. Simulation results are included that show effectiveness of the proposed control laws.
Scholarly Commons Citation
Rehan, Muhammad, "Global Formulation and Control of a Class of Nonholonomic Systems" (2018). Doctoral Dissertations and Master's Theses. 401.
https://commons.erau.edu/edt/401
