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    interface the system to pc by RS232 to serial communication
    port. Then we use the Instrument Control Toolbox of the
    MATLAB SIMULINK for data acquisition and plotting the
    response of the system. We plot graph of LEVEL IN THE
    TANK VS TIME. Then we use this data for the system
    identification. We use IDENT command of the MATLAB for
    Most PID controllers nowadays are digital. For digital
    implementation, discrete time domain is considered. Here, the
    value of sampling time is of utmost importance.  
    The velocity algorithm is based on splitting the calculation of
    the control value into two steps:
    1. First the incremental control value Δu(tk) is calculated.
    2. Then the total or absolute control value is calculated with
         u(tk) = u(tk−1) + Δu(tk−1)                                            
    Thus, the final discrete PID velocity algorithm is: As opposed to the fixed control reference used in the
    positional algorithm, here, the calculation of current control
    uses the previous control value as reference. In essence, the
    control is calculated as a change, hence the term ‘velocity
    form’.
    III.  COMPLETE IMC TUNED PID RESULT
    A.  Set Point  Tracking
    A MATLAB based GUI is developed for interfacing the
    practical system with the software. The set point tracking is
    done through the MATLAB based GUI and load variation
    given manually to the system. As shown in the Figure 9.  the
    MATLAB based GUI is used to interface with the system.
    Here the range is 0 to 300 mm has been set for plotting the
    response of the system.
    B.   Disturbance Rejection
     Here as shown in the Figure 10 when the load variation is
    applied system is settle down quickly to the set point value of
    14.3 cm . Disturbance is applied to the system manually by
    opening another drain valve of the system for 1 minute.  The
    second valve is closed then after however the  main drain
    valve is still remaining in open condition. As shown in the
    figure 10 system is able to reject the disturbance also without
    any overshot condition.    
    C.  Load variation   
    In first part of the figure 10 as shown,  the main drain valve is
    slightly closed during the normal operation. The process
    value is suddenly reached to the 150mm. but again it came
    back to the normal set point value that is 143mm..          
    IV.  CONCLUSION
    We have successfully implemented IMC based level control
    system starting from identification of system to be
    implementation suitable control algorithms in
    microcontroller. We have successfully tuned the system using
    matlab simulation. The comparison of system responses
    shows that a system using a IMC based digital PID controller
    with tuning parameters derived from auto-tuning shows a
    much better system response than conventional PID
    controller. The system response has fewer oscillations, less
    settling time and rise time and there is no steady state offset
    as compared to open loop system and system with
    proportional controller which shows that the tuning
    parameters derived were accurate. Due to DC pump is used in
    the system this system  does not required any kind of
    pneumatic supply and I/P converter  for operating pneumatic
    pump which make the system least bulkiest and cost also
    reduces.   
    Starting from the development of DC pump based  liquid
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