Abstract:
Presented is a new method for calculating the time-optimal guidance control for a multiple vehicle pursuit-evasion system. A joint differential game of k pursuing vehicle...Show MoreMetadata
Abstract:
Presented is a new method for calculating the time-optimal guidance control for a multiple vehicle pursuit-evasion system. A joint differential game of k pursuing vehicles relative to the evader is constructed, and a Hamilton-Jacobi-Isaacs equation that describes the evolution of the value function is formulated. The value function is built such that the terminal cost is the squared distance from the boundary of the terminal surface. Additionally, all vehicles are assumed to have bounded controls. Typically, a joint state space constructed in this way would have too large a dimension to be solved with existing grid-based approaches. The value function is computed efficiently in high-dimensional space, without a discrete grid, using the generalized Hopf formula. The optimal time-to-reach is iteratively solved, and the optimal control is inferred from the gradient of the value function.
Published in: IEEE Control Systems Letters ( Volume: 2, Issue: 2, April 2018)
Funding Agency:
Naval Air Warfare Center Weapons Division, Image and Signal Processing Branch, Research Directorate, China Lake, CA, USA
Guidance, Navigation, and Control Branch, Weapons and Energetics Department, Naval Air Warfare Center Weapons Division, China Lake, CA, USA
Naval Air Warfare Center Weapons Division, Image and Signal Processing Branch, Research Directorate, China Lake, CA, USA
Division of Applied Mathematics, Brown University, Providence, RI, USA
Department of Mathematics, University of California at Los Angeles, Los Angeles, CA, USA
Department of Mathematics, University of California at Los Angeles, Los Angeles, CA, USA
Contents Naval Air Warfare Center Weapons Division, Image and Signal Processing Branch, Research Directorate, China Lake, CA, USA
Guidance, Navigation, and Control Branch, Weapons and Energetics Department, Naval Air Warfare Center Weapons Division, China Lake, CA, USA
Naval Air Warfare Center Weapons Division, Image and Signal Processing Branch, Research Directorate, China Lake, CA, USA
Division of Applied Mathematics, Brown University, Providence, RI, USA
Department of Mathematics, University of California at Los Angeles, Los Angeles, CA, USA
Department of Mathematics, University of California at Los Angeles, Los Angeles, CA, USA
