4. Derive the closed-loop transfer function between r₁(s) and y,(s) for the follow- ing control block diagram (this is known as a cascade control system). Hint: Find a single block to represent the "inner" feedback loop. "2 2 "2 y 2 gcl ++ 8c2 8pl y m2 8m2 y ml gml How would you check the stability of the closed-loop system?

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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4. Derive the closed-loop transfer function between r₁(s) and y,(s) for the follow-
ing control block diagram (this is known as a cascade control system). Hint:
Find a single block to represent the "inner" feedback loop.
"2
2
"2
y 2
gcl
++
8c2
8pl
y
m2
8m2
y ml
gml
How would you check the stability of the closed-loop system?
Transcribed Image Text:4. Derive the closed-loop transfer function between r₁(s) and y,(s) for the follow- ing control block diagram (this is known as a cascade control system). Hint: Find a single block to represent the "inner" feedback loop. "2 2 "2 y 2 gcl ++ 8c2 8pl y m2 8m2 y ml gml How would you check the stability of the closed-loop system?
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