Solution of Time-Varying Index-2 Linear Differential Algebraic Control Systems Via A Variational Formulation Technique

  • Ghazwa F. Abd Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
  • Radhi A. Zaboon Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
Keywords: Control problems, Direct method of calculus of variation, Generalized Ritz method, Index-two time-varying linear differential algebraic equations, Variational formulation

Abstract

    This paper deals with finding an approximate solution to the index-2 time-varying linear differential algebraic control system based on the theory of variational formulation. The solution of index-2 time-varying differential algebraic equations (DAEs) is the critical point of the equivalent variational formulation. In addition, the variational problem is transformed from the indirect into direct method by using a generalized Ritz bases approach. The approximate solution is found by solving an explicit linear algebraic equation, which makes the proposed technique reliable and efficient for many physical problems. From the numerical results, it can be implied that very good efficiency, accuracy, and simplicity of the present approach are obtained.

Published
2021-10-30
How to Cite
Abd, G. F., & Zaboon, R. A. (2021). Solution of Time-Varying Index-2 Linear Differential Algebraic Control Systems Via A Variational Formulation Technique. Iraqi Journal of Science, 62(10), 3656-3671. https://doi.org/10.24996/ijs.2021.62.10.24
Section
Mathematics