حل عددی معادلات دیفرانسیل جبری شاخص بالا با استفاده از ساختار معادلات انتگرال جبری: مسئله کنترلی مسیر توصیف شده و آونگ ساده

In this paper, we solve higher index differential algebraic equations (DAEs) by transforming them into integral algebraic equations (IAEs). We apply collocation methods on continuous piece-wise polynomials space to solve the obtained higher index IAEs. The efficiency of the given method is improved by using a recursive formula for computing the integral part. Finally, we apply the obtained algorithm to solve a trajectory-prescribed path control problem and a model of simple pendulum. The numerical experiments show efficiency of the given techniques.

کلیدواژه ها:

Differential algebraic equations ، integral algebraic equations ، trajectory-prescribed path control problem ، simple pendulum ، continuous piecewise collocation methods