Fourier-Based Optimal Control Approach for Structural Systems
American Institute of Aeronautics and Astronautics (AIAA)
Journal of Guidance, Control, and Dynamics
This paper considers the optimal control of structural systems with quadratic performance indices. The proposed approach approximates each configuration variable of a structural model by the sum of a fifth-order polynomial and a finite-term Fourier-type series. In contrast to standard linear optimal control approaches, the method adopted here is a near optimal approach in which the necessary condition of optimality is derived as a system of linear algebraic equations. These equations can be solved directly by a method such as Gaussian elimination. The proposed approach is computationally efficient and can be applied to structural systems of high dimension to systems with linear boundary constraints.