Dynamic Sliding Mode Control based on Fractional calculus subject to uncertain delay based chaotic pneumatic robot

نویسندگان

  • Sara Gholipour P.
  • Heydar Toosian Sh
چکیده

2. Preliminaries Fractional differintegration’s set foot in control compass, also consistency of Caputo definition among the other fractional derivative’s definitions with engineering applications, is caused to devote this section to the basic definition of fractional calculus and its properties (Table 1). The Riemann–Liouville (RL) and the Caputo are the most popular fractional derivatives definitions. RL definition: (1) Caputo definition: (2) Where denotes the order of differintegral operator, and t are the limits of operation, is the well-known Gamma function and n is the first integer not less than q, i.e. Table 1 Some useful properties of fractional definitions

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عنوان ژورنال:
  • CoRR

دوره abs/1309.7666  شماره 

صفحات  -

تاریخ انتشار 2013