Truncation effects on control design models

The authors study the behavior of retained system poles and transmission zeros in a control design model when the model is truncated. The sensitivity of the transmission zeros due to the truncation of system dynamics was analytically obtained. The sensitivity of system poles to the truncation of system dynamics is shown to be zero, as expected. The effects of actuator-sensor type and location are also studied. The results are illustrated with two example problems. The effect of transmission zero shifts in control design models and the controllers designed from them is illustrated with an example.<
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