The Describing Function for Bounded Nonlinearities

Denis Blackmore

doi:10.1109/TCS.1981.1085005

The Describing Function for Bounded Nonlinearities

Denis Blackmore

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We consider an autonomous single-loop feedback system where the nonlinear element is assumed to be a continuous bounded function. Sufficient conditions are obtained for the existence and nonexistence of an oscillation of the system in terms of the describing function criterion. In addition to the qualitative existence results, error bounds on some pertinent oscillation parameters are computed. A graphical procedure is developed to aid in the application of these results.

Original language	English (US)
Pages (from-to)	442-447
Number of pages	6
Journal	IEEE Transactions on Circuits and Systems
Volume	28
Issue number	5
DOIs	https://doi.org/10.1109/TCS.1981.1085005
State	Published - May 1981

All Science Journal Classification (ASJC) codes

General Engineering

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10.1109/TCS.1981.1085005

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abstract = "We consider an autonomous single-loop feedback system where the nonlinear element is assumed to be a continuous bounded function. Sufficient conditions are obtained for the existence and nonexistence of an oscillation of the system in terms of the describing function criterion. In addition to the qualitative existence results, error bounds on some pertinent oscillation parameters are computed. A graphical procedure is developed to aid in the application of these results.",

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AB - We consider an autonomous single-loop feedback system where the nonlinear element is assumed to be a continuous bounded function. Sufficient conditions are obtained for the existence and nonexistence of an oscillation of the system in terms of the describing function criterion. In addition to the qualitative existence results, error bounds on some pertinent oscillation parameters are computed. A graphical procedure is developed to aid in the application of these results.

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JO - IEEE Transactions on Circuits and Systems

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The Describing Function for Bounded Nonlinearities

Abstract

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