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A design methodology for nonlinear systems containing parameter uncertainty.

G E Young1, D M Auslander

  • 1School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater 74078, USA.

Journal of Dynamic Systems, Measurement, and Control
|March 1, 1984
PubMed
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This study introduces a novel design methodology for nonlinear systems with uncertain parameters. It uses sensitivity analysis and random search to optimize system performance despite parameter variations.

Area of Science:

  • Engineering
  • Systems Analysis
  • Control Theory

Background:

  • Nonlinear systems often exhibit complex behaviors.
  • Parameter uncertainty poses significant challenges in system design and performance prediction.
  • Existing methodologies may struggle to robustly handle both nonlinearity and uncertainty.

Purpose of the Study:

  • To present a new design methodology for nonlinear systems with parameter uncertainty.
  • To enhance the reliability of system performance by addressing parameter variations.
  • To optimize system design under conditions of uncertainty.

Main Methods:

  • Incorporation of generalized sensitivity analysis.
  • Utilizing sampling of the parameter space.
  • Employing statistical inference and an adaptive random search strategy.

Related Experiment Videos

  • Determining optimal adjustable parameter values.
  • Main Results:

    • The methodology effectively handles nonlinear systems with parameter uncertainty.
    • It maximizes the probability of performance indices satisfying design criteria.
    • Identifies optimal combinations of adjustable parameters under uncertainty.

    Conclusions:

    • The presented methodology offers a robust approach to designing nonlinear systems with uncertain parameters.
    • It provides a framework for optimizing system performance by accounting for parameter variations.
    • This approach improves the predictability and reliability of engineered systems.