Synthesis of Second-order Filters using Optimized PWL Autonomous Systems

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


dynamical systems, state models, sensitivity properties


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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