Application of optimal control in a vibrating rod and membrane
Optimal control theory has been particularly successful in the evolution of techniques for solving dynamic problems. Problems of a dynamic nature have long been of interest to industry. Classical mathematical tools have been applied to their solution, in particular; these have included variational methods including the classical calculus of variations approach and more general methods associated with recent development of the maximum principle. In this research, the calculus of variations is applied to optimize the motion of a rod and a membrane, and to determine the boundary conditions for optimality of the axial vibration of a rod and the transverse vibration of a membrane. The procedure for finding the distribution of the control input over the domain (fixed ends and fixed time) of the rod and membrane and the minimization of a cost function are also introduced.
School Location:USA - Ohio
Source Type:Master's Thesis
Keywords:optimal control axial vibration transverse
Date of Publication:01/01/1995