Fourier-based state parameterization for optimal trajectory design of linearly constrained linear-quadratic systems Vincent Chai-Tse Yen Mark L. Nagurka Carnegie Mellon University.Engineering Design Research Center. 10.1184/R1/6489857.v1 https://kilthub.cmu.edu/articles/journal_contribution/Fourier-based_state_parameterization_for_optimal_trajectory_design_of_linearly_constrained_linear-quadratic_systems/6489857 Abstract: "This technical report considers the design of optimal trajectories of linearly constrained linear quadratic (LQ) systems. It is shown that by applying a Fourier-based state parameterization approach a linearly constrained LQ problem can be converted into a quadratic programming problem. Simulation results show that the proposed approach is an accurate and computationally efficient design tool for determining the optimal solution of linearly constrained LQ problems." 1989-01-01 00:00:00 Trajectory optimization. Algorithms. Mathematical optimization. Linear programming.