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Detection of Loop Nonlinearities

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Control Performance Management in Industrial Automation

Part of the book series: Advances in Industrial Control ((AIC))

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Abstract

Most of control performance methods assume that the system is (at least locally) linear. However, the presence of certain type of nonlinearity may cause severe performance problems. For instance, stiction, hysteresis and dead-band in actuators, or faulty sensors can induce unwanted oscillations. Thus, it is recommended to evaluate “how linear (or nonlinear)” the closed loop under consideration actually is in an early step of the assessment procedure. Features of nonlinear behaviour can be used as a basis for the development of some nonlinearity detection methods. The exploitation of the bicoherence property led to the bicoherence technique. Alternatively, the surrogate analysis method, which is based on the regularity of phase patterns in nonlinear time series, can be used. Both methods are presented in this chapter, and a comparative study is given on some industrial data sets.

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Authors and Affiliations

  1. Faculty of Plant, Energy and Machine Systems, Cologne University of Applied Sciences, Koeln, Germany

    Dr.-Ing. Mohieddine Jelali

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  1. Dr.-Ing. Mohieddine Jelali
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© 2013 Springer-Verlag London

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Jelali, M. (2013). Detection of Loop Nonlinearities. In: Control Performance Management in Industrial Automation. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-4546-2_10

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  • DOI: https://doi.org/10.1007/978-1-4471-4546-2_10

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4545-5

  • Online ISBN: 978-1-4471-4546-2

  • eBook Packages: EngineeringEngineering (R0)

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