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Numerical solution of a class of fractional order control systems

  • 2013-09-22
  • 457.17KB
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Numerical solution for a type of fractional-order control system: Focusing on the differential equations of four-term fractional-order dynamic control systems. The existence and uniqueness of its solution are proved, and the solution is expressed by Mittag2Leffle function, but its analytical solution is difficult to obtain numerically. Using the connection between the definitions of Caputo, Riemann2L iouville and Geünwald2Letnikov fractional-order derivatives, three numerical solutions are proposed to simulate its analytical solution. Finally, numerical examples are given to illustrate that the three proposed numerical methods can be used to simulate the properties of fractional-order control systems. Keywords: Fractional-order control system; Caputo fractional-order derivative; Riemann2L iouville fractional-order derivative; Geünwald2Letnikov fractional-order derivative; numerical solution

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