Please consider the following closed-loop Multiple-Input Multiple-Output (MIMO) control system: R₁(s) and R2(s) are the reference signals (or inputs), • G₁(s) (where i = 1,2,3,4,5) are the plant transfer functions, • C₁(s) and C2(s) are the responses (or system outputs), • All of them are in Laplace domain. R2 + R₁ + + G₂(s) G3(S) Tasks: G5(s) G4(s) + G₁(s) می a) Please derive the transfer function between C₁ (s) and R₂(s) (i.e., find R₂(s) (10 marks) (10 marks) b) Please derive the transfer function between C₂(s) and R₁(s) (i.e., find C2 (s)). R₁(s) Hint: Please carefully analyse how the signals interact with the plants G₁(s) and find all paths from
Please consider the following closed-loop Multiple-Input Multiple-Output (MIMO) control system: R₁(s) and R2(s) are the reference signals (or inputs), • G₁(s) (where i = 1,2,3,4,5) are the plant transfer functions, • C₁(s) and C2(s) are the responses (or system outputs), • All of them are in Laplace domain. R2 + R₁ + + G₂(s) G3(S) Tasks: G5(s) G4(s) + G₁(s) می a) Please derive the transfer function between C₁ (s) and R₂(s) (i.e., find R₂(s) (10 marks) (10 marks) b) Please derive the transfer function between C₂(s) and R₁(s) (i.e., find C2 (s)). R₁(s) Hint: Please carefully analyse how the signals interact with the plants G₁(s) and find all paths from
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.6P
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Transcribed Image Text:Please consider the following closed-loop Multiple-Input Multiple-Output (MIMO) control system:
R₁(s) and R2(s) are the reference signals (or inputs),
•
G₁(s) (where i = 1,2,3,4,5) are the plant transfer functions,
•
C₁(s) and C2(s) are the responses (or system outputs),
•
All of them are in Laplace domain.
R2
+
R₁ +
+
G₂(s)
G3(S)
Tasks:
G5(s)
G4(s)
+
G₁(s)
می
a) Please derive the transfer function between C₁ (s) and R₂(s) (i.e., find
R₂(s)
(10 marks)
(10 marks)
b) Please derive the transfer function between C₂(s) and R₁(s) (i.e., find C2 (s)).
R₁(s)
Hint: Please carefully analyse how the signals interact with the plants G₁(s) and find all paths from
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