| Summary: | 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 established. Secondly, a non-fragile robust dynamic output feedback controller (RDOFC) with multiplicative gain variations (MGV) is designed to satisfy the multi-objective requirements, including pole assignment, <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> disturbances attenuation and input constraints. Based on the Lyapunov stability theory, the design of the non-fragile robust <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> attitude control is formulated as the linear matrix inequality (LMI) condition. Finally, numerical simulations are performed to demonstrate the effectiveness of the proposed controller.
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