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In this paper algorithms for calculating the maximal perturbation bounds under Ήο performance constraints for systems with parametric uncertainties are presented. A family of systems is considered, described by state space models which depend nonlinearly on real uncertain parameters. The stability and performance robustness analysis are based on the same matrix algebra results, and the corresponding...
The article proposes a novel approach to robust stability analysis of linear parameter-varying systems, of which the system matrix is polynomial-dependent on a time-varying parameter with degree L. The robust asymptotically stability of the system is transformed into feasibility test of a pair of linear matrix inequalities (LMIs) that include the parameter, its varying-rate bound and given coefficient...
In this work we consider stabilization and L2-gain analysis of uncertain linear systems in presence of control saturation and exosystem-disturbances. It is shown that how an invariant and/or attractive domain and the corresponding feedback gain can be found in order to secure a low level L2-gain with respect to L2 -disturbances. All of our analysis and design are based on LMIs-constrained optimization,...
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