Backstepping‐based zero‐sum differential games for missile‐target interception systems with input and output constraints

作者：Jingliang Sun, Chunsheng Liu, Xia Zhao · 发表于：IET Control Theory and Applications · 年份：2018 · DOI：10.1049/iet-cta.2017.0501 · 被引用次数：34 · 研究领域：Guidance and Control Systems、Adaptive Dynamic Programming Control、Adaptive Control of Nonlinear Systems

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.