Journal of Aeronautics & Aerospace Engineering
Open Access
ISSN: 2168-9792
+44-77-2385-9429
ISSN: 2168-9792
+44-77-2385-9429
Smith NE
Air Force Seek Eagle Office, Eglin AFB, FL, Air Force Institute of Technology, Wright-Patterson Air Force Base,
Ohio, 45433
Tanzania
Research Article
Implementing Conditional Inequality Constraints for Optimal Collision Avoidance
Author(s): Smith NE*,Arendt CD,Cobb RG,Reeger JA
Smith NE*,Arendt CD,Cobb RG,Reeger JA
Current Federal Aviation Administration regulations require that passing aircraft must either meet a specified horizontal or vertical separation distance. However, solving for optimal avoidance trajectories with conditional inequality path constraints is problematic for gradient-based numerical nonlinear programming solvers since conditional constraints typically possess non-differentiable points. Further, the literature is silent on robust treatment of approximation methods to implement conditional inequality path constraints for gradient-based numerical nonlinear programming solvers. This paper proposes two efficient methods to enforce conditional inequality path constraints in the optimal control problem formulation and compares and contrasts these approaches on representative airborne avoidance scenarios. The first approach is based on a minimum area enclosing superellipse functio.. View More»
DOI:
10.4172/2168-9792.1000195