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Comparative boundary and sensitivity analysis for uncertain dynamical systems
(Wydawnictwo Uczelniane Politechniki Szczecińskiej, 2002) Orłowski, Przemysław; Technical University of Szczecin
The paper develops analysis for models of uncertainty for dynamical, discretetime control systems on finite time horizon. Various models of uncertainty are analysed: additive, subtractive, and multiplicative. An analysis for electrical circuit with real, perturbed parameters is carried out. It is assumed, that the uncertain parameters are bounded, and could be described by rectangular distribution. A few cases of systems are considered. In the first case system is time-invariant. In the second case, system is time variant. Output errors are estimated using discrete evolution operators. As a comparison sensitivity analysis for time-invariant sis has been carried out. The results from estimations are compared to the set of the worst-case uncertain parameters related to output error.