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Automation and Remote Control

, Volume 67, Issue 3, pp 393–404 | Cite as

A conditional optimal control problem and its adaptive solution method

  • V. Yu. Tertychnyi-Dauri
Determinate Systems

Abstract

Optimal design of dynamic control systems is studied under the assumption that their motion obeys, along with constraints for ensuring the minimum of the quality functional, additional conditions in the form of time-varying kinematic relations. An alternative method of adjustable Lagrange multipliers, besides the variational approach, is designed to solve this problem. The adaptive approach, in turn, ensures that the aim conditions are satisfied and the solutions generated by the estimation algorithm exponentially converge to their true values.

PACS number

45.10.Db 

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Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • V. Yu. Tertychnyi-Dauri
    • 1
  1. 1.State Institute of Information Technologies, Mechanics and OpticsSt. PetersburgRussia

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