Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation
| Authors: | Peaucelle Dimitri, LAAS-CNRS, France, Metropolitan
Henrion Didier, LAAS-CNRS, France, Metropolitan
Arzelier Denis, LAAS-CNRS, France, Metropolitan |
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| Topic: | 2.5 Robust Control |
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| Session: | Robustness Analysis with IQC's and LMI's |
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| Keywords: | Quadratic separation, LMI, robust stability, uncertain descriptor system |
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Abstract
Topological separation is investigated in the case of an uncertain time-invariant matrix interconnected with an implicit linear transformation. A quadratic separator independent of the uncertainty is shown to prove losslessly the closed-loop well-posedness. Several applications for descriptor systems are then given. First, some known results for stability and pole location are demonstrated in a new way. Second, contributions to robust stability analysis are exposed. All results are formulated as linear matrix inequalities (LMIs).
