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Open Access
Extension of SVD-DFT analysis for a class of non-linear systems
(2006) Orłowski, Przemysław; Technical University of Szczecin, Control Engineering Institute
The paper develops computer algebra based method and tools for a class of non-linear time-varying (LTV), discrete-time systems. Proposed method base on two following transformations: from general NL system into state-space dependent piecewise linear (PWL) and from PWL into LTV. LTV system is then decomposed using method based on Singular Value Decomposition, Discrete Fourier Transform and Power Spectral Density into approximated Bode diagrams. Potential applications are simplified analysis and synthesis in frequency domain of weak and/or slow nonlinear systems. Especially the synthesis can be done for each time instant which pretend the method for applications in predictive control. The paper begins from short literature review, description of the model, detailed algorithm with description of the proposed method and two numerical examples.