ME 4611Prelab #8ME 461 Homework #8 Fall 2011 Due at the beginning of Lab #8 Suggested Reading:Study the Matlab help pages for the following functions:mldivide,sisotool,tf,zpk,pzplot andrltool.Lab 8 manual.1.Write out the syntax for creating the following transfer functions in Matlab.Use 50ms samplingtime.23224( )51zzG zzzz−+=+−+()()()0.25( )50.50.7zH zzz−=+−2.Sketch the pole‐zero plots of the transfer functions in problem 1. Indicate whether each is stableand/or has minimum phase. You may use Matlab to check your answers.3.Show that a first‐order plant()τ=+1KG sspreceded by a zero‐order hold (ZOH) has a discretetransfer function given by()()ττ−−⎡⎤−⎣⎦=−1TTKeVzU zze.4.Show that the transfer function derived in problem 3 results in a difference equation (which can beimplemented in a microprocessor!) given by()()()=−+−1211v nc v nc u n, where c1and c2areconstants.5.
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