The transfer function of a nano-positioning device capable of translating biological samples within a few μm uses a piezoelectric actuator and a linear variable differential transformer (LDVT) as a displacement sensor. The transfer function frominput to displacement has been found to be (Salapaka, 2002)
Use a dominant-pole argument to find an equivalent transfer function with the same numerator but only three poles.
Use MATLAB to find the actual size and approximate system unit step responses, plotting them on the same graph.
Explain the differences between both responses given that both pairs of poles are so far apart.
