On the Applicability Conditions for the Algorithms of Adaptive Control in Nonconvex Problems

  • Authors:

  • D. V. Prokhorov;V. A. Terekhov;I. Yu. Tyukin

  • Affiliations:

  • Ford Motor Company Research Laboratory, Dearborn, Michigan, USA;St. Petersburg State Electrotechnical University “LETI,” St. Petersburg, Russia;St. Petersburg State Electrotechnical University “LETI,” St. Petersburg, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2002

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Abstract

Solution of the problem of adaptive control of nonlinear plants with nonconvex-in-control-parameters functions of the right sides of their state equations was presented. Conditions for existence of the auxiliary functions for designing the adaptive control algorithms were formulated. For the adaptive systems using the introduced adaptation algorithms, theorems of attainability of the control goals were proved. The theoretical propositions were supported by computer simulation.