Comment on “Finite-Time Control Algorithm Based on Modal State Observer for Flexible Satellite Attitude Tracking”

A finite-time observer-based attitude controller is designed for a flexible satellite in the paper titled “Finite-Time Control Algorithm Based on Modal State Observer for Flexible Satellite Attitude Tracking” which is referred to as the “original paper” hereafter. Through a comprehensive review of the article, it has become evident that the design of the observer in the original paper contains critical errors, rendering the results presented therein invalid. In this corrigendum, we meticulously discuss the identified flaws in the original paper and present the necessary amendments to rectify them. Furthermore, we enhance the finite-time observer proposed in the original paper to not only estimate the effects caused by modal variables but also account for the effects resulting from external disturbances and the inherent uncertainty associated with the moment of inertia of the flexible satellite. The finite-time convergence property of the proposed observer, presented within this corrigendum, is assured through the utilization of the Lyapunov approach. By employing the proposed observer outlined in this corrigendum, the validity of the remaining components highlighted in the original paper is preserved, providing an accurate framework for further research and practical applications.