Multi-Objective Non-Fragile Robust Attitude Control for Flexible Microsatellite Close-Proximity Inspection

Abstract

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, $H_{\infty }$ 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.

Keywords

• Attitude control
• H∞%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> non-fragile <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞
• flexible microsatellite
• multi-objective
• dynamic output feedback