Numerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum

نویسندگان

  • Babak Shiri Shahid Sattari Aeronautical University of Science and Technology
  • Gholamreza Karamali Shahid Sattari Aeronautical University of Science and Technology, South Mehrabad, Tehran, Iran.
چکیده مقاله:

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.

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عنوان ژورنال

دوره 7  شماره 1

صفحات  1- 15

تاریخ انتشار 2018-04-01

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