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Chang, Xiao-Heng; Park, Ju H.; Zhou, Jianping

Robust static output feedback \(\mathcal{H}_\infty\) control design for linear systems with polytopic uncertainties. (English) Zbl 1322.93047

Syst. Control Lett. 85, 23-32 (2015).
Summary: This paper investigates the problem of robust static output feedback \(\mathcal{H}_\infty\) control for linear systems with polytopic uncertainties. A new method is proposed for robust static output feedback \(\mathcal{H}_\infty\) controller design. The proposed design method is applicable for general uncertain systems, without the need to impose any constraints on system matrices. The corresponding design conditions are presented in the form of Linear Matrix Inequalities (LMIs). One of the advantages of the new method lies in its less conservatism. The proposed design method is also applicable to both continuous-time and discrete-time systems. The performance of the method is compared with other methods based on several examples.

Cited in 94 Documents

MSC:

93B52 Feedback control
93B35 Sensitivity (robustness)
93C05 Linear systems in control theory

Keywords:

linear systems; polytopic uncertainties; static output feedback \(\mathcal{H}_\infty\) controllers; linear matrix inequalities (LMIs)

Software:

LMI toolbox
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Full Text: DOI

References:

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