Özyetkin M.M.Tan N.2024-08-042024-08-0420109781424496716https://doi.org/10.1109/SIU.2010.5650973https://hdl.handle.net/11616/9226918th IEEE Signal Processing and Communications Applications Conference, SIU 2010 -- 22 April 2010 through 24 April 2010 -- Diyarbakir -- 83388This paper deals with the computation of rational approximations of fractional derivatives and/or integrals and time domain analysis of fractional order systems. The objective is to compute the output signals of systems which represented by fractional order transfer functions. Therefore, all rational approximations for fractional order of 0.1, 0.2,..., 0.9 are obtained using continued fraction expansion method (CFE). Simulink block diagrams of a control system with time delayed fractional order transfer function, which controlled by a PI? D? controller, are constructed using continued fraction expansion method and unit step responses of the system are investigated for different values of ? and ?. ©2010 IEEE.trinfo:eu-repo/semantics/closedAccessFractional order systemsRational approximationsTime domain analysis of fractional order systemsConference Object94995210.1109/SIU.2010.56509732-s2.0-78651452321N/A