A study of model simplification techniques in system design



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Various reasons for simplifying a system are given, and some of the existing techniques are listed. The two techniques (one in the frequency domain and one in the time domain) chosen for this thesis are described. For a given Type 1 control system, two simplified models are derived: One using the frequency domain technique, and one using the time domain technique. For each of these simplified models, a lead network and a lag network are designed in order that the system response meet certain specifications. Each of these compensating networks is placed in cascade with the original system, and the closed loop unit step responses of the overall systems are observed. This same procedure is repeated for an unstable Type 2 system using a double lead compensator. The thesis closes with an evaluation of the results obtained for each example described and some overall conclusions on the validity of using simplified models as a basis for the design of compensating networks.