This article is cited in 2 papers

Deterministic Systems

A conditional optimal control problem and its adaptive solution method

V. Yu. Tertychny-Dauri

St. Petersburg State University of Information Technologies, Mechanics and Optics

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: 45.10.Db

Presented by the member of Editorial Board: B. T. Polyak

Received: 21.02.2005

 English version: Automation and Remote Control, 2006, 67:3, 393–404

Bibliographic databases:

• 
• 
•