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Analysis of nonlinear systems with the describing function method

J. A. Tenreiro Machado, António M. Lopes, Duarte Valério, Alexandra M. Galhano

Abstract

The describing function (DF) is one method for the analysis of nonlinear systems. The main idea is to study the ratio between a sinusoidal input applied to the system and the fundamental harmonic component of the output. The DF allows the extension of the Nyquist stability criterion to nonlinear systems for detection of limit cycles, namely the prediction of limit cycle amplitude and frequency.

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Available abstract

Key concepts: Describing function, Limit cycle, Nonlinear system, Limit (mathematics), Control theory (sociology), Mathematics, Amplitude, Nyquist stability criterion