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Consider the open-loop unstable second-order process transfer function: 2 G, (s + 2)(s – 1) The sensor and valve can be modeled simply using gains (Km = 1 and Kv = 0.4). (a) Find the range of Kc for a proportional-only controller that will stabilize this process. (b) It turns out that Ke = 4.0 will yield a stable closed-loop response. (Note – If this is NOT in your stability range from part (a), you should check your results!). In practice, there is measurement lag on the sensor measurement: 1 Gm TmS +1 For a controller gain of Ke = 4.0, find out how slow the sensor measurement can be (e.g., the maximum measurement time constant tm) before the closed-loop response becomes unstable.

Consider the open-loop unstable second-order process transfer function: 2 G, (s + 2)(s – 1) The sensor and valve can be modeled simply using gains (Km = 1 and Kv = 0.4). (a) Find the range of Kc for a proportional-only controller that will stabilize this process. (b) It turns out that Ke = 4.0 will yield a stable closed-loop response. (Note – If this is NOT in your stability range from part (a), you should check your results!). In practice, there is measurement lag on the sensor measurement: 1 Gm TmS +1 For a controller gain of Ke = 4.0, find out how slow the sensor measurement can be (e.g., the maximum measurement time constant tm) before the closed-loop response becomes unstable.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Book: Process Dynamics and Control, Third Edition or Fourth Edition, by D. E. Seborg, T. F. Edgar, D. A. Mellichamp, F. J. Doyle III, John Wiley & Sons, Inc, 2011

Consider the open-loop unstable second-order process transfer function: 2 G, (s + 2)(s – 1) The sensor and valve can be modeled simply using gains (Km = 1 and Kv = 0.4). (a) Find the range of Ke for a proportional-only controller that will stabilize this process. (b) It turns out that Ke = 4.0 will yield a stable closed-loop response. (Note – If this is NOT in your stability range from part (a), you should check your results!). In practice, there is measurement lag on the sensor measurement: 1 Gm TmS +1 For a controller gain of Ke = 4.0, find out how slow the sensor measurement can be (e.g., the maximum measurement time constant tm) before the closed-loop response becomes unstable.
Transcribed Image Text:Consider the open-loop unstable second-order process transfer function: 2 G, (s + 2)(s – 1) The sensor and valve can be modeled simply using gains (Km = 1 and Kv = 0.4). (a) Find the range of Ke for a proportional-only controller that will stabilize this process. (b) It turns out that Ke = 4.0 will yield a stable closed-loop response. (Note – If this is NOT in your stability range from part (a), you should check your results!). In practice, there is measurement lag on the sensor measurement: 1 Gm TmS +1 For a controller gain of Ke = 4.0, find out how slow the sensor measurement can be (e.g., the maximum measurement time constant tm) before the closed-loop response becomes unstable.
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