Chapter 12, Problem 12.39P

I need expert solution s to this question, don't use Artificial intelligence

I need solutions to this questions Don't use Artificial intelligence

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