Robust PI, gain scheduled and PSS controller design using LMI regions: Comparative studies

Vojtech Vesely – Jan Murgas

   This paper considers the development of a new design procedure for PI and Gain scheduled robust controller with PSS for turbogenerator using LMI regional regions. The obtained PI+PSS and GSC+PSS robust controllers with output and state derivative feedback for uncertain polytopic turbogenerator model ensure that all closed -loop eigenvalues lay in the prescribed LMI region. The proposed method is to guarantee the less conservativeness with respect to previous methods due to introducing to the design procedure based on new auxiliary matrices. The effectiveness of this procedure is illustrated by the examples of two controllers for turbogenerator.

Keywords: robust PI-PSS controller, gain scheduled controller, LMI region, state derivative feedback, output feedback, linear uncertain systems, H₂ performance

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