Synthesis of Second-order Filters using Optimized PWL Autonomous Systems

J. Popisil, Z. Kolka, J. Brzobohaty, S. Hanus, and T. Dostal (Czech Republic)

Keywords

dynamical systems, state models, sensitivity properties

Abstract

Starting from the piecewise-linear (PWL) autonomous dynamical system optimized from the eigenvalue sensitivities viewpoint the corresponding optimized non autonomous linear (single-input single-output) system is derived. Such a design procedure gives the possibility to obtain minimum eigenvalue sensitivities with respect to the change of the individual model parameters also for non-autonomous linear systems. Three examples of the system having the complex conjugate poles and zeros, i.e. the optimized second-order band-reject, all-pass, and high-pass filters are shown.

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