Computation of bang-bang and singular controls in collision avoidance

DOI10.3934/jimo.2014.10.443zbMath1275.49043OpenAlexW2325996415MaRDI QIDQ380577

Neale L. Fulton, Tanya Tarnopolskaya, Helmut Maurer

Publication date: 14 November 2013

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2014.10.443

zbMATH Keywords

optimal controlcollision avoidancesingular controlbang-bang conrolswitching time optimization

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for free problems in two or more independent variables (49K10) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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Uses Software

• AMPL
• Ipopt

Cites Work

• Switching time optimization for bang-bang and singular controls
• Synthesis of optimal control for cooperative collision avoidance for aircraft (ships) with unequal turn capabilities
• Optimal cooperative collision avoidance strategy for coplanar encounter: Merz's solution revisited
• Numerical solution of singular control problems using multiple shooting techniques
• SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control
• Quadratic order conditions for bang-singular extremals
• Synthesis of optimal bang-bang control for cooperative collision avoidance for aircraft (ships) with unequal linear speeds
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Numerical computation of singular control functions in trajectory optimization problems
• The High Order Maximal Principle and Its Application to Singular Extremals
• Singular controls in optimal collision avoidance for participants with unequal linear speeds
• Second Order Sufficient Conditions for Optimal Control Problems with Free Final Time: The Riccati Approach
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