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http://dx.doi.org/10.5302/J.ICROS.2014.14.0041

Robust Stabilization of Uncertain LTI Systems via Observer Model Selection  

Oh, Sangrok (ASRI, Department of Electrical and Computer Engineering, Seoul National University)
Kim, Jung-Su (Dept. of EIE, Seoul National University of Science and Technology)
Shim, Hyungbo (ASRI, Department of Electrical and Computer Engineering, Seoul National University)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.20, no.8, 2014 , pp. 822-827 More about this Journal
Abstract
This paper presents a robust observer-based output feedback control for stabilization of linear time invariant systems with polytopic uncertainties. To this end, this paper not only finds a robust observer gain but also suggests how to determine the model used in the observer, which is not obvious due to model uncertainties in the conventional observer design method. The robust observer gain and the observer model are selected in a way that the whole closed-loop is stable by solving LMIs and BMIs (Linear Matrix Inequalities and Bilinear Matrix Inequalities). A simulation example shows that the proposed robust observer-based output feedback control successfully leads to closed-loop stability.
Keywords
robust observer; robust control; model uncertainty; linear and bilinear matrix inequalities; separation principle;
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