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

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.

Optimal Control Approach To Non-Linear Robust Control System With Two Uncertainties And Matching Condition

“…There are some application on control theory, one can see [3][4][5][6][7][8], and particularly they studied the robust control in [9]. Recently, attention has focused on optimizing the attitude of systems, particularly issues related to expanding the range of missiles, increasing the profit value of a specific project, reducing errors in estimating the position of something, reducing the energy or cost required to accomplish some final cases, or reducing the wide variety of formulations.The search for a control element that achieves the desired goal while minimizing the criterion of a specific system constitutes the basic problem of the optimization theory.…”