16.10 The closed-loop transfer function for the Smith predic- tor in Eq. 16-22 was derived assuming no model error. (a) Derive a formula for Y/Y, when G‡ G. What is the characteristic equation? (b) Let G=2e-2s/(5s +1). A proportional controller with Kc = 15 and a Smith predictor are used to control this process. Simulate set-point changes for ±20% errors in process gain (K), time constant (t), and time delay (six different cases). Discuss the relative importance of each type of error. (c) What controller gain would be satisfactory for ±50% changes in all three model parameters?

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16 10 the closed loop transfer function for the smith predic tor in eq

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16.10 The closed-loop transfer function for the Smith predic- tor in Eq. 16-22 was derived assuming no model error. (a) Derive a formula for Y/Y, when G‡ G. What is the characteristic equation? (b) Let G=2e-2s/(5s +1). A proportional controller with Kc = 15 and a Smith predictor are used to control this process. Simula