Open-loop solution of a defender–attacker–target game: penalty function approach. Issue 3 (3rd July 2019)

• Record Type: Journal Article
• Authors: Turetsky, Vladimir; Glizer, Valery Y.
• Is Part Of: Journal of control and decision. Volume 6:Issue 3(2019)
• Page Start: 166
• Page End: 190
• Publication Date: 2019-07-03
• Subjects: Defender–attacker–target problem -- pursuit-evasion differential game -- zero-sum linear-quadratic game -- terminal state inequality constraint; Control theory -- Periodicals; Decision making -- Periodicals; Robotics -- Periodicals; 003.505
• DOI: 10.1080/23307706.2018.1453311
• Languages: English
• ISSNs: 2330-7706

Abstract

Abstract : A defender–attacker–target problem with non-moving target is considered. This problem is modelled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional. In this game, the pursuer is the defender, while the evader is the attacker. The objective of the pursuer is to minimise the cost functional, while the evader has two objectives: to maximise the cost functional and to keep a given terminal state inequality constraint. The open-loop saddle point solution of this game is obtained in the case where the transfer functions of the controllers for the defender and the attacker are of arbitrary orders.