Materiały konferencyjne (WEl)
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Pozycja Open Access Output uncertainty estimates for a class of non-linear discrete-time systems(Wydawnictwo Uczelniane Politechniki Szczecińskiej, 2004) Orłowski, Przemysław; Technical University of Szczecin, Control Engineering InstituteThe paper develops a mathematical framework which helps to analyse a class of non-linear, uncertain, discrete-time systems defined on finite horizon control. Uncertainty in the system is modelled by unknown (norm bounded) additive perturbations of the system matrices. The main purpose of the paper is to derive estimates for output deviations system from the output of the nominal (unperturbed) one. These estimates use norms of certain dynamical operators defined on a finite time interval.Pozycja Open Access Selected Problems of Uncertainty Estimates for Non-linear Discrete-Time Systems(2000) Orłowski, Przemysław; Technical University of SzczecinThe paper develops a mathematical framework which helps to analyse the following class of finite horizon control problems for uncertain nonlinear discrete-time systems. [ WZORY] Uncertainty in the system description are modelled by unknown (norm bounded) mixed additive-multiplicative perturbations of the system matrix. It is assumed that the nominal control has feedback form. If the nominal control will be applied to the uncertain system the state and output will be (in general) different. Formulas for deriving estimates for the deviations of the output of perturbed system from the output of the nominal one has been presented. These estimates use norms of certain dynamical operators defined on a finite time interval.