Europe PMC

A Homotopic Direct Collocation Approach for Operational-Compliant Trajectory Design.

Stand-alone deep-space CubeSats are the future of the space sector. For limited budget reasons, these spacecraft need to follow operational-compliant (OC) trajectories: transfers with thrusting and ...
IEEE

Reliable Solution to Dynamic Optimization Problems Using Integrated Residual Regularized Direct Collocation

Abstract: Direct collocation (DC) is a widely used method for solving dynamic optimization problems (DOPs), but its implementation simplicity and computational efficiency are limited for challenging ...
IEEE

Direct Collocation for Numerical Optimal Control of Second-Order ODE

Abstract: Mechanical systems are usually modeled by second-order Ordinary Differential Equations (ODE) which take the form $\ddot{q}=f(t,\ q,\ \dot{q})$. While simulation methods tailored to these ...
Scientific Research Publishing

Awoyemi, D.O. (2005) Algorithm Collocation Approach for Direct Solution of Fourth Order Initial Value Problems of ODEs. International Journal of Computational Mathematics, 82 ...

ABSTRACT: In this paper, block procedure for some k-step linear multi-step methods, using the Legendre polynomials as the basis functions, is proposed. Discrete methods were given which were used in ...