Synthesis of optimal control for cooperative collision avoidance for aircraft (ships) with unequal turn capabilities

DOI10.1007/s10957-009-9597-1zbMath1185.49021OpenAlexW1976247012MaRDI QIDQ963655

B. E. Eshmatov

Publication date: 13 April 2010

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-009-9597-1

zbMATH Keywords

optimal controlPontryagin's maximum principlecollision avoidanceMayer problemclose proximitycooperative maneuversunequal turn rates

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Applications of optimal control and differential games (49N90) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (8)

Guaranteed collision avoidance for autonomous systems with acceleration constraints and sensing uncertainties ⋮ Aircraft proximity termination conditions in the planar turn centric modes ⋮ Collision avoidance for an aircraft in abort landing: trajectory optimization and guidance ⋮ Computation of bang-bang and singular controls in collision avoidance ⋮ The game of two identical cars: an analytical description of the barrier ⋮ Synthesis of optimal bang-bang control for cooperative collision avoidance for aircraft (ships) with unequal linear speeds ⋮ Aircraft proximity termination conditions for 3D turn centric modes ⋮ Applied game theory to enhance air traffic control in 3D airspace

Cites Work

• Unnamed Item
• Ship collision-avoidance and pursuit-evasion differential games with speed-loss in a turn
• Optimal cooperative collision avoidance strategy for coplanar encounter: Merz's solution revisited
• Overapproximating reachable sets by Hamilton-Jacobi projections
• Optimal control of a ship for course change and sidestep maneuvers
• Optimal control of a ship for collision avoidance maneuvers
• Optimal trajectories and guidance schemes for ship collision avoidance
• Conflict resolution for air traffic management: a study in multiagent hybrid systems
• A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games

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