1. Introduction 2. Discussion Plant Transfer Function ) 10 93277 . 3 10 12 4 . 60 ( 10 93277 . 3 9 3 2 9 s s tfFor this transfer function an overshoot of 18% and zero steady state error was obtain. And the later specifications were to reduce the overshoot to 5% at zero steady state error. The performance improvements of this 2 nd order plant are presented in this document. The characteristics of P,I and D controllers is given below to help when choosing what type of controller to design for. Figure 1:P,I and D controller characteristics3. Controller Design Calculations The Integral controller Ki decreases the rise time increases both the overshoot and settling time but it eliminates the steady state error of type zero system to zero. A proportional integral controller will be used to eliminate the steady state error of the system and keep it at zero. The general transfer function of a PI controller is as follows: To calculate Kp a value of0.01 steady state error is assumed.Therefore….
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For this transfer function an overshoot of 18% and zero steady state error was obtain. And the later
specifications were to reduce the overshoot to 5% at zero steady state error. The performance
improvements of this 2nd
order plant are presented in this document. The characteristics of P,I and Dcontrollers is given below to help when choosing what type of controller to design for.
Figure 1:P,I and D controller characteristics
3. Controller Design Calculations
The Integral controller Ki decreases the rise time increases both the overshoot and settling time but it
eliminates the steady state error of type zero system to zero.
A proportional integral controller will be used to eliminate the steady state error of the system and
keep it at zero. The general transfer function of a PI controller is as follows:
To calculate Kp a value of 0.01 steady state error is assumed.Therefore….