The work processes have been simulated by the SIMULINK of MATLAB software and all responses such as oscillation and transient responses have been analyzed by it as well. The main function (F) is Fcn. It includes two other functions that are: u[1] and u[2] which are defined for SIMULINK. u[1] is one of two input functions of Mux that has been shown by the input block that is: H. This block is presenting amount of the Keff. u[2] equals with amount of the feedback which has been sampled as follows: x(t).

Thus:

Because of the control rod movement is steady, in order to calculate the total amount of the discrete movements of control rod, the Discrete-time Integrator block has been used. The Fcn produced function has been transferred to Zero-Order Hold block which plays logic converter role. In addition the Transport Delay block is related to the inherent delay time that is: tD. The parameters which must be adjusted are: Set Point that is: the default amount of Keff as reference K, ff and the meaning of the Set Point=100 is: K, ff=1, the velocity of control rod (v), recent Kgff (block H) and the stop time that is: the innate delay time or tD. The graphs can be observed by the oscilloscope.