Linear Matrix Inequalities in Control
Linear Matrix Inequalities in Control
Linear Matrix Inequalities in Control
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course topics<br />
Facts from convex analysis. LMI’s: history, algorithms and software.<br />
The role of LMI’s <strong>in</strong> dissipativity, stability and nom<strong>in</strong>al performance.<br />
Analysis results.<br />
From LMI analysis to LMI synthesis. State-feedback and<br />
output-feedback synthesis algorithms<br />
From nom<strong>in</strong>al to robust stability, robust performance and robust<br />
synthesis.<br />
IQC’s and multipliers. Relations to classical tests and to µ-theory.<br />
Mixed control problems and parametrically-vary<strong>in</strong>g systems and<br />
control design.<br />
Siep Weiland and Carsten Scherer (DISC) <strong>L<strong>in</strong>ear</strong> <strong>Matrix</strong> <strong>Inequalities</strong> <strong>in</strong> <strong>Control</strong> Class 1 6 / 59