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This paper presents the determination of optimal reduction parameters for complex models of the Rational Krylov methods with using Evolutionary Algorithm. The presented algorithms facilitate a precise reduction of linear time invariant, multi-input and multi-output models. The elaborated algorithms are particularly significant for MIMO models, for which the(More)
This paper presents new results in simulation analysis of Al-Alaloui-based discretization scheme for fractional-order derivative. The analysis is performed both in frequency and time domains. A series of simulation analyses provide to formulation of some implementation highlights related to approximation of fractional-order derivative with the Al-Alaloui(More)
Finding an efficient method of implementing non-integer order controller in digital systems is a matter of ongoing research. In this paper, methods for the approximation non-integer order system in time domain are investigated. Authors present the methodology of reducing the model complexity of PI<sup>&#x03BB;</sup>D controller for the magnetic levitation(More)
This article presents a range of approximation error measures for reduced mathematical MIMO models of controlled objects. These measures can be of use in evaluations of reduction quality. The impact of selection of a particular approximation error measure as the objective function of the reduction parameter optimization algorithm on the frequency(More)
The paper presents issues connected with the reduction of complex linear models of MIMO type control objects. Basic reduction methods based on a system balance (SVD methods), and especially the methods introducing the frequency tapering functions, have been presented. Based on the model of a one-phase zone of evaporating tubes the BP-1150 boiler, the(More)
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