Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems


Zolfaghari Z., Baradarannia M., Hashemzadeh F., Ghaemi S.

3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016, Dubai, United Arab Emirates, 23 - 25 November 2016, pp.229-233 identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/iscmi.2016.49
  • City: Dubai
  • Country: United Arab Emirates
  • Page Numbers: pp.229-233
  • Keywords: Caputo fractional systems, switching curve, Time optimal control
  • Istanbul Technical University Affiliated: No

Abstract

In this paper we present a method for fractional time optimal control problems in terms of Caputo fractional derivatives. The studies up to now are about systems in terms of Riemann-Liouville fractional derivatives. But in this paper we investigated Caputo fractional systems. Firstly, by utilizing matrix approach method to discrete fractional derivatives, fractional Caputo derivative is solved. Then, the original problem is solved by traditional optimal problem solvers. Finally, time optimal problem is studied for a double fractional integrator and a method for obtaining switching curve has presented.