Robust Stability Analysis for Structured Uncertainties with Bounded Variation Rates
| Authors: | Köroglu Hakan, Delft University of Technology, Delft Center for Systems and Control, Netherlands
Scherer Carsten W., Delft University of Technology, Delft Center for Systems and Control, Netherlands |
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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: | Robust stability, stability analysis, structured uncertainty, slowly time-varying systems, bounded-rateparameter variations, linear matrix inequalities (LMI), integral quadratic constraints (IQC). |
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Abstract
Robust stability analysis problem is considered for the feedback interconnection of a causal and stable linear time-invariant system with causal and stable linear time-varying block-diagonal structured uncertainties having sub-blocks of bounded norms and variation rates. The problem is studied within the recently developed IQC framework of robust stability analysis, and based on a generalized version of the swapping lemma, a multiplier class capturing the considered uncertainties is obtained and thus a robust stability test is developed in terms of an LMI feasibility problem.
