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306SE Control And Instrumentation 2

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The University cannot take responsibility for any coursework lost or corrupted on disks, laptops or personal computer. Students should therefore regularly back-up any work and are advised to save it on the University system.

Through the online coursework submission system on the day of a coursework deadline, an appropriate extension to the coursework submission deadline will be agreed. This extension will normally be 24 hours or the next working day if the deadline falls on a Friday or over the weekend period. This will be communicated via email and as a CUMoodle announcement.

Please be advised that this is an INDIVIDUAL coursework. It is acceptable to exchange ideas, but the report, including the descriptive Section 1 and all the design, analytical and simulation analysis must be your own individual work, written with your own words and very clearly referenced when citations are made.

The DC motor system of Section 2 is now discretised. Use Matlab to determine the open loop and closed loop Z-domain transfer functions of the discretised system.

  1. b) Perform a root locus analysis of the discretised system in the Z domain. Select three different values of the sampling period to evaluate the effect of discretisation on stability.
  2. c) Apply PID control in discrete time using Matlab simulations with the same sampling time periods as in 3b.
  3. d) Compare the performance of PID control of 3c with an equivalent continuous time PID implementation using performance metrics of your own choice.
  4. e) Provide your conclusions from this simulation analysis.

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