论文信息 - An Approach to Solving Two Time-Scale Trajectory Optimization Problems

An Approach to Solving Two Time-Scale Trajectory Optimization Problems

Abstract The indirect method of solving optimal control problems requires the solution of a Hamiltonian boundary-value problem (HBVP). Geometric properties of Hamiltonian systems and the notion of a dichotomy guide the development of a solution approach for HBVPs that involve two distinct time scales and boundary layers.

Kenneth D. Mease | K. Mease

[1] Neil Fenichel. Geometric singular perturbation theory for ordinary differential equations , 1979 .

[2] M. Ardema. Solution of the minimum time-to-climb problem by matched asymptotic expansions , 1976 .

[3] Henry J. Kelley,et al. Aircraft Maneuver Optimization by Reduced-Order Approximation , 1973 .

[4] Anil V. Rao,et al. A new method for solving optimal control problems , 1995 .

[5] S. H. Lam,et al. Using CSP to Understand Complex Chemical Kinetics , 1993 .

[6] S. Lam,et al. The CSP method for simplifying kinetics , 1994 .

[7] Anil V. Rao,et al. Minimum time-to-climb trajectories using a modified sweep method , 1995 .

[8] Kenneth D. Mease,et al. Geometry of Computational Singular Perturbations , 1995 .