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Neural-network-based stable control by using harmonic analysis

Application to a nonlinear DC motor drive

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Abstract

In this paper, we make an application of the harmonic balance (HB) analysis technique for studying oscillations in neural-network-based control systems where the closed-loop system can be transformed into a linear and a feedback nonlinear part (“Luré regulator problem”). The main goal of the present paper is to establish a test for the stability of limit cycles arising from a neural-network-control-based scheme operating over continuous nonlinear plants. The HB technique has been applied to the stability analysis of a quasilinearised nonlinear DC motor drive. The simple geometric interpretation of this technique contrasts other stability analysis techniques, such as Lyapunov, Input/Output, etc.

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Authors and Affiliations

  1. Departamento de Ingeniería de Sistemas y Automática, University of Malaga, Spain

    S. González Pérez & J. Fernández de Cañete

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  1. S. González Pérez
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  2. J. Fernández de Cañete
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Correspondence to S. González Pérez.

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Pérez, S.G., de Cañete, J.F. Neural-network-based stable control by using harmonic analysis. Neural Comput & Applic 13, 316–322 (2004). https://doi.org/10.1007/s00521-004-0425-0

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