Application of Wavelets to the Optimal Control of a Parallel System of Beams

摘要

The optimal control of a distributed system consisting of two Euler-Bernoulli beams coupled in parallel with point wise controllers is considered. The optimal control problem is to minimize a given performance index over these forces and subject to the equation of motion governing the structural vibrations, the imposed initial condition as well as the boundary conditions. A computationally attractive method by using finite wavelets for evaluating the modal optimal control and trajectory of the lumped parameter system is suggested. A numerical example is provided to demonstrate the applicability and effectiveness of the proposed method.