A PI controller with transfer function C(s) = 1+1/s is discretised with sampling period T = 0.1 seconds to obtain a discrete-time controller with transfer function
C_d(z) = \frac{1.1-z^{-1}}{1-z^{-1}}
Which discrete-time approximation approach was used?

Question

A PI controller with transfer function   C(s) = 1+1/s  is discretised with sampling period   T = 0.1  seconds to obtain a discrete-time controller with transfer function 
  C_d(z) = \frac{1.1-z^{-1}}{1-z^{-1}} 
 Which discrete-time approximation approach was used?

Answer

Backward Euler/right rectangular rule

Answer

Forward Euler/left rectangular rule

Answer

Trapezoidal/bilinear/Tustin rule

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A PI controller with transfer function C(s) = 1+1/s is discretised with sampl...

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