Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1705603 | Applied Mathematical Modelling | 2010 | 9 Pages |
Abstract
Galerkin and wavelet methods for optimal boundary control of a couple of discretely connected parallel beams are proposed. First, the problem with boundary controls is converted into a problem with distributed controls. The problem is, then, reduced by a Galerkin-based approach into determining the optimal control of a linear time-invariant lumped parameter system, which will be solved by a wavelet-based method using Legendre wavelets. The integration-operational matrix and Kronecker product are utilized to significantly simplify the optimization problem into a system of linear equations. A numerical example is presented to demonstrate the applicability and the efficiency of the proposed method.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ibrahim Sadek, Marwan Abukhaled, Taher Abualrub,