An Optimization Procedure based on Analytic Stability Conditions for Systems Linearized by the Describing Function Method

R. H. Davis, E. Kraemer

Research output: Contribution to journalArticle

Abstract

There are limitations to the analytical methods which may be used to select the optimum parameters of a control system using iterative optimization techniques. These methods tend to optimize systems only with respect to certain types of performance criteria and only for a limited class of input signals. Present iterative optimization methods are unable to handle directly the analytical stability conditions for systems linearized by the describing function method. A method of incorporating these stability conditions into the many optimization procedures which use the gradients of stability constraints is shown, and an example of its use in the design of a compensator in a nonlinear control system is also presented. © 1982 Butterworth & Co. (Publishers) Ltd.

Original languageEnglish
Pages (from-to)16-22
Number of pages7
JournalApplied Mathematical Modelling
Volume6
Issue number1
DOIs
Publication statusPublished - Feb 1982

Keywords

  • numerical analysis
  • systems analysis

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