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 e2 12 gcl gc2 8p2 P + + y m2 8 m2 y ml gml y 1 y 2 gpl 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
Section: Chapter Questions
Problem 1.1P
Question

Please help me check the stability of the closed-loop system and derive the function

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
e2
12
gcl
gc2
8p2
P
+
+
y m2
8 m2
y ml
gml
y 1
y 2
gpl
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 e2 12 gcl gc2 8p2 P + + y m2 8 m2 y ml gml y 1 y 2 gpl How would you check the stability of the closed-loop system?
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