Pursuit-Evasion Game-Based Fault-Tolerant Control for Spacecraft Relative Position

For spacecraft relative position control systems suffering from actuator bias and failure faults, this paper introduces an optimal fault-tolerant control strategy based on pursuit-evasion game theory. The fault-tolerant control problem is reformulated as a pursuit-evasion game, with the optimal control law derived by integrating the Hamilton-Jacobi-Issac (HJI) equation and the minimax principle. An adaptive dynamic programming approach is employed to develop a critic neural network that estimates the optimal performance function, thereby generating an adaptive control signal that guarantees system stability and bounded convergence of states. Finally, simulation is conducted to validate the feasibility of the proposed control strategy.