Technical Brief

Gain-Scheduling Attitude Control for Complex Spacecraft Based on HOSVD

[+] Author and Article Information
Bingyao Lei

School of Astronautics, Beihang University, Beijing 100191, China

Peng Shi

School of Astronautics, Beihang University, Beijing 100191, China

Changxuan Wen

Key Laboratory of Space Utilization, Technology and Engineering Center for Space Utilization, Chinese Academy of Sciences, Beijing 100094, China

Yushan Zhao

School of Astronautics, Beihang University, Beijing 100191, China

1Corresponding author.

ASME doi:10.1115/1.4041752 History: Received January 11, 2018; Revised October 11, 2018


In this paper, a robust gain-scheduling attitude control scheme for spacecrafts with large rotational appendages is proposed. First, by introducing the higher order singular value decomposition (HOSVD) method, a polytopic linear parameter varying (LPV) model with a family of weighting coefficients is developed based on the kinetics of a flexible spacecraft. This model eliminates the need of verifying all the gridding points, which is required in conventional controller synthesis process, and reduces the calculation complexity. Secondly, a generalized plant is derived to guarantee both the system robust stability and the tracking performances. Based on the LPV control theory, a less conservative controller synthesis condition for the polytopic LPV system is deduced. With an online tuning unit, the convex combination of every vertex controller is obtained. For control implementation, the present scheduling parameter is taken as an input for the tuning unit. Numerical results demonstrate the effectiveness and efficiency of the proposed control scheme.

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