基于自适应最优控制的有限时间微分对策制导律

In this paper, the problem of intercepting a maneuvering target within a fixed final time is posed in a nonlinear finite-time differential game framework.Then, we convert the optimal problem of nonlinear guidance system into optimal control problem of general nonlinear system.For this system, the approximate optimal function and optimal control strategy are found by solving the finite-time differential game problem via adaptive dynamic programming(ADP)technique.To implement the algorithm effectively, the single critic network with time-varying weights and activation functions is constructed to estimate the solution of associated time-varying Hamilton-Jacobi-Isaacs(HJI)equation, and update it online.By utilizing the Lyapunov stability theorem, the closed-loop differential game system are proved to be stable and the estimation weight error of the critic network are proved to be uniformly ultimately bounded.Finally, a simulation of a nonlinear missile-target interception system shows the feasibility and effectiveness of the proposed method.