Range Maximization of an Air-to-Surface Missile
Abstract
Pontryagin's Maximum Principle, coupled with the conjugate gradient iterative technique, is employed in determining estimates of the two- dimensional, maximum range trajectory of an air-to-surface missile. Angle of attack is used as the control parameter. The motion of the vehicle is described by four state equations including standard atmospheric data, and lift and drag data obtained from wind tunnel tests. In the adjoint equations Lagrangian differentiation formulas are used to approximate the derivatives of lift and drag with respect to velocity and altitude. Two quadratic cost functions are investigated -- one involving a linear range term and the other a quadratic term. Both include a quadratic penalty function involving a weighting function and the square of the control.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1970
- Accession Number
- AD0875085
Entities
People
- Albert I. Chatmor
Organizations
- Air Force Institute of Technology