Backstepping‐based zero‐sum differential games for missile‐target interception systems with input and output constraints. Issue 2 (1st January 2018)

• Record Type: Journal Article
• Authors: Sun, Jingliang; Liu, Chunsheng; Zhao, Xia
• Is Part Of: IET control theory & applications. Volume 12:Issue 2(2018)
• Page Start: 243
• Page End: 253
• Publication Date: 2018-01-01
• Subjects: control nonlinearities -- differential games -- missile control -- feedback -- nonlinear systems -- Lyapunov methods -- feedforward -- control system synthesis -- dynamic programming -- convergence; backstepping‐based zero‐sum differential games -- missile‐target interception systems -- input constraints -- output constraints -- manoeuvring target -- strict‐feedback nonlinear systems -- barrier Lyapunov function -- auxiliary system -- backstepping feedforward controller design -- equivalence differential game problem -- affine systems -- adaptive dynamic programming technique -- critic network -- Nash equilibrium -- Hamilton–Jacobi–Isaacs equation -- convergence properties -- backstepping‐based differential games -- Lyapunov method; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2017.0501
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : In this study, the problem of intercepting a manoeuvring target is posed in a zero‐sum differential game problem for a class of strict‐feedback non‐linear systems with output and input constraints. By introducing a barrier Lyapunov function and an auxiliary system to deal with the output constraints and input constraints, respectively, a novel backstepping feedforward controller is designed to transform the tracking problem for strict‐feedback systems into an equivalence differential game problem for affine systems. Subsequently, a zero‐sum differential game strategy is developed by using the adaptive dynamic programming technique. A critic network is constructed to learn the Nash equilibrium of the Hamilton–Jacobi–Isaacs equation online. The convergence properties of the proposed backstepping‐based differential games are developed by utilising the Lyapunov method. Finally, the effectiveness of the proposed strategy is demonstrated by simulation using missile‐target interception system.