EE 179 QuizFeb. 15, 2015

Answer the following. Show your solutions. If you used Scilab in your solutions, write the commands used.

1. Show the state-space representation. Choose the state variables based on the storage elements (10pts). State-space representation is worth 30pts total (System matrix =15pts, Output matrix =10 pts, Input matrix = 5pts)

Problem 1

2. (30pts)Reduce the block diagram to a single block representing . (10pts)Convert Problem 3 to signal flow graph

; ; ; ; ; ;

EE 179 QuizFeb. 15, 2015

Problem 2

3. a) Convert the SS below to transfer function (total = 15pts). (adj(sI-A)=5 pts; det(sI-A) =5pts, transfer function=5pts)

b) Draw signal-flow graph (10pts) for the SS below

c) Use Mason’s rule to get the transfer function you got from b)

(5pts for forward path gains)

(5pts for loop gains)

(5 points for non-touching loop gains)

(5 points for the transfer function)