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Inertia‐free saturated output feedback attitude stabilization for uncertain spacecraft
Author(s) -
Liu Chuang,
Shi Keke,
Yue Xiaokui,
Sun Zhaowei
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5044
Subject(s) - control theory (sociology) , lyapunov function , sylvester's law of inertia , multiplicative function , spacecraft , attitude control , h infinity methods in control theory , controller (irrigation) , inertia , output feedback , transfer function , stability theory , mathematics , computer science , control (management) , engineering , control engineering , nonlinear system , symmetric matrix , physics , eigenvalues and eigenvectors , mathematical analysis , agronomy , electrical engineering , classical mechanics , quantum mechanics , artificial intelligence , biology , aerospace engineering
Summary In this article, the problem of robust output feedback attitude stabilization control for a class of uncertain spacecraft is investigated, which contains external disturbances, model parameter uncertainty, unknown and uncertain inertia, controller's gain perturbations, measurement errors, and input saturation. The aim of this work is to design a dynamic output feedback controller such that the closed‐loop attitude system is stabilized, while the H ∞ norm of the transfer function from the lumped disturbance and measurement error to output is ensured to be less than a pre‐specified disturbance attenuation level, and the actual control input is confined into a certain range simultaneously. Based on the Lyapunov theory, the existence conditions of such controller are derived in terms of linear matrix inequalities. It is worth mentioning that the controller's additive and multiplicative perturbations are accounted for respectively. An illustrative example is given to demonstrate the effectiveness and advantage of the proposed control design method.