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Table 2. Optimization results and step response values for plant 2.

Table 2 Optimization results and step response values for plant 2.

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Fig. 1. Schematic representation of a general feedback control system. In this work our main focus is to design a PID tuner for linear, time-invariant Single-Input-Single-Output (SISO) plant/system. The assumption being held is that a model of the system has already been derived either from first principles or from system identification experiments. Fig. 1 shows the general form of a feedback control system loop.
Fig. 1. Schematic representation of a general feedback control system. In this work our main focus is to design a PID tuner for linear, time-invariant Single-Input-Single-Output (SISO) plant/system. The assumption being held is that a model of the system has already been derived either from first principles or from system identification experiments. Fig. 1 shows the general form of a feedback control system loop.
Fig. 3. Complementary sensitivity and Sensitivity plot. Fig. 2. Magnitude plot for H.,loop-shape, PID loop-shape and plant.
Fig. 3. Complementary sensitivity and Sensitivity plot. Fig. 2. Magnitude plot for H.,loop-shape, PID loop-shape and plant.
Fig. 4. Step input response and step disturbance response at plant input.
Fig. 4. Step input response and step disturbance response at plant input.
PID Parameters : Kp=4.6125, Ki=7.167, Kd=-0.022878
PID Parameters : Kp=4.6125, Ki=7.167, Kd=-0.022878
Fig. 6. Complementary sensitivity and Sensitivity plot. Fig. 5. Magnitude plot for H,, loop-shape, PID loop-shape and plant.
Fig. 6. Complementary sensitivity and Sensitivity plot. Fig. 5. Magnitude plot for H,, loop-shape, PID loop-shape and plant.
Fig. 7. Step input response and step disturbance response at plant input.
Fig. 7. Step input response and step disturbance response at plant input.
Table 3.Step response characteristics of test plant using the four tuning methods. Fig. 8. Step input response using four methods of tuning.
Table 3.Step response characteristics of test plant using the four tuning methods. Fig. 8. Step input response using four methods of tuning.
Fig. 9. Step disturbance response using four methods of tuning.
Fig. 9. Step disturbance response using four methods of tuning.
Related topics:
EngineeringElectrical EngineeringRobustness (evolution)Pid ControllerPID controlEllipsoid Methodloop shaping
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