Differential Modeling of DAE's Solutions for Flight Control
by
Sorin Stefan Radnef
National Institute of AeroSpace Research, Bucharest, Iuliu Maniu Street 220, sector 6, 77538

The paper deals with the question of how to generate the values of flight control variables when the preset conditions regarding the flight characteristics are expressed as implicit algebraic functions. To solve in a unified manner this problem it is necessary to find the solution of DAE's, having a rigorous guide line stated as “necessary and sufficient condition” in an algebraic equation form. The view point considers an extended DAE system that allows to formulate this question as an inverse problem and to regard the algebraic equation as a singular implicit solution of the differential subsystem. It is formulate, as an algebraic equation, the necessary and sufficient condition for an implicit equation be a singular implicit solution of an ordinary differential system and, accordingly, is stated a sequential algorithm to find the differential modeling function for the algebraic variables. These theoretic results are used to state how to find the solutions for flight control problems, especially for the inverse problem of flight considering the trajectory as the essential preset condition.

Date received: March 31, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # canw-28.