The characteristic locus design method

  • Authors:

  • A. G. J. Macfarlane;J. J. Belletrutti

  • Affiliations:

  • Department of Electrical Engineering and Electronics and the Control Systems Centre, University of Manchester, Institute of Science and Technology, Manchester, M60 1QD, England;-

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1973

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Abstract

The classical work of Nyquist and Bode on the frequency-response analysis of scalar feedback systems leads to flexible and useful design procedures because it enables the conflicting requirements of stability and accuracy to be handled simultaneously via a single form of system representation-the open-loop frequency response function of a complex variable. State-space methods derive their elegance and power from the systematic exploitation of the algebraic and geometric properties of linear vector spaces. The basic idea underlying the Characteristic Locus Method developed here is the combination of the essence of these two approaches by exploiting the properties of linear vector spaces defined over base fields of functions of a complex variable. What then emerges is a general vector feedback theory in which the classical Bode-Nyquist technique is a special case, and from which a frequency-response based design technique called the Characteristic Locus Method is developed.