Realization of nonlinear discrete-time composite systems: computational aspects
Authors: | Nõmm Sven, Institute of Cybernetics at Tallinn University of Technology, Estonia Kotta Ülle, Institute of Cybernetics at Tallinn University of Technology, Estonia Tõnso Maris, Institute of Cybernetics at Tallinn University of Technology, Estonia |
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Topic: | 2.3 Non-Linear Control Systems |
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Session: | Structural Properties of Nonlinear Systems |
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Keywords: | Nonlinear control systems, discrete-time systems, compositions, algebraicapproaches, state-space realization |
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Abstract
The paper is devoted to computational aspects ofthe problems of realization of discrete-time nonlinearsingle-input single-output composite systems. The maincontributions are made in two directions. First, we study therelations between three different methods that for anynon-realizable system construct a "compensating system" which willresult in a realizable series or parallel connection. Second, weimplement these methods and algorithms in the computer algebrasystem Mathematica. Results are illustrated by examples.