Guidance laws are developed to optimally position a relay Micro-UAV (MAV) to provide an operator at the base with real-time Intelligence, Surveillance, and Reconnaissance (ISR) by relaying communication and video signals when the rover MAV performing the ISR mission is out of radio contact range with the base. The ISR system is comprised of two MAVs, the Relay and the Rover, and a Base. The Relay strives to minimize the radio frequency (RF) power required for maintaining communications, while the Rover performs the ISR mission, which may maximize the required RF power. The optimal control of the Relay MAV entails the solution of a differential game. Suboptimal solutions are also analyzed to gain insight into the solution of the differential game. One suboptimal approach investigated envisages the Rover to momentarily remain stationary and solves for the optimal path for the Relay to minimize the RF power requirement during the planning horizon. The one - sided optimal control problem is solved. Another suboptimal approach is based upon the geometry of the system: The midpoint between the Rover and the Base is the location which minimizes the RF power required, so the Relay heads toward that point--assuming that the Rover is stationary. At the same time, to maximize the required RF power, the Rover runs away from the Relay.
Guidance laws are developed to optimally position a relay Micro-UAV (MAV) to provide an operator at the base with real-time Intelligence, Surveillance, and Reconnaissance (ISR) by relaying communication and video signals when the rover MAV performing the ISR mission is out of radio contact range with the base. The ISR system is comprised of two MAVs, the Relay and the Rover, and a Base. The Relay strives to minimize the radio frequency (RF) power required for maintaining communications, while the Rover performs the ISR mission, which may maximize the required RF power. The optimal control of the Relay MAV entails the solution of a differential game. Suboptimal solutions are also analyzed to gain insight into the solution of the differential game. One suboptimal approach investigated envisages the Rover to momentarily remain stationary and solves for the optimal path for the Relay to minimize the RF power requirement during the planning horizon. The one - sided optimal control problem is solved. Another suboptimal approach is based upon the geometry of the system: The midpoint between the Rover and the Base is the location which minimizes the RF power required, so the Relay heads toward that point--assuming that the Rover is stationary. At the same time, to maximize the required RF power, the Rover runs away from the Relay.
This volume contains fifteen articles on the topic of differential and dynamic games, focusing on both theory and applications. It covers a variety of areas and presents recent developments on topics...
The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L. S. Pontryagin and his school in the former Soviet...
This book grew out of a set of lecture notes for a one semester course on dynamic game theory held at the University of Technology, Vienna. It is intended primarily at the graduate level for...
Optimal control and differential games continue to attract strong interest from researchers interested in dynamical problems and models in management science. This volume explores the application of...
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