In this paper, the non-fragile robust attitude control problem is investigated for flexible microsatellite close-proximity inspection, with external disturbances, parameter uncertainties and input constraints.Firstly, the attitude motion model of microsatellite with flexible appendages is faux parlor palm established.Secondly, a non-fragile robust dynamic output feedback controller (RDOFC) with multiplicative gain variations (MGV) is designed to 2023 little mermaid cake satisfy the multi-objective requirements, including pole assignment, $H_{infty }$ disturbances attenuation and input constraints.Based on the Lyapunov stability theory, the design of the non-fragile robust $H_{infty }$ attitude control is formulated as the linear matrix inequality (LMI) condition.Finally, numerical simulations are performed to demonstrate the effectiveness of the proposed controller.