Robustness analysis of magnetic torque controlled spacecraft altitude dynamics

Jongrae Kim, Declan Bates, Ian Postlethwaite

    Research output: Contribution to journalArticlepeer-review


    This paper describes a systematic approach to the robustness analysis of linear periodically time-varying (LPTV) systems. The method uses the technique known as Lifting to transform the original time-varying uncertain system into linear fractional transformation (LFT) form. The stability and performance robustness of the system to structured parametric uncertainty can then be analysed non-conservatively using the structured singular value μ. The method is applied to analyse the stability robustness of an attitude control law for a spacecraft controlled by magnetic torquer bars, whose linearised dynamics can naturally be written in linear periodically time-varying form. The proposed method allows maximum allowable levels of uncertainty, as well as worst-case uncertainty combinations to be computed. The destabilising effect of these uncertain parameter combinations is verified in time-domain simulations.
    Original languageEnglish
    JournalAutomatic Control in Aerospace
    Issue number1
    Publication statusPublished - Jun 2009


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