2008 | OriginalPaper | Buchkapitel
On State Estimation Approaches for Uncertain Dynamical Systems with Quadratic Nonlinearity: Theory and Computer Simulations
verfasst von : Tatiana F. Filippova, Elena V. Berezina
Erschienen in: Large-Scale Scientific Computing
Verlag: Springer Berlin Heidelberg
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The paper deals with the problems of state estimation for nonlinear dynamical control system described by differential equations with unknown but bounded initial condition. The nonlinear function in the right-hand part of a differential system is assumed to be of quadratic type with respect to the state variable. Basing on the well-known results of ellipsoidal calculus developed for linear uncertain systems we present the modified state estimation approaches which use the special structure of the dynamical system.