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Control Systems : Question Paper May 2016 - Electronics & Telecomm (Semester 4) | Mumbai University (MU)
1 Answer
written 7.3 years ago by |
TOTAL MARKS: 80
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.
1(a) Explain the concept of relative stability.(5 marks) 1(b) What do you mean by frequency domain analysis and explain the frequency domain performance indices.(5 marks) 1(c) Find out the t.F. of the given network.
(5 marks) 1(d) The forward path gain of a system is 2.5 and pole-zero configuration of the system is shown below, find the overall transfer function and type of the system for system for unity feedback. (5 marks) 2(a) Reduce the block diagram and obtain its transfer function. (10 marks) 2(b) Draw the corresponding signal flow graph of given block diagram and find $ \dfrac{C(s)}{R(s)} $ (10 marks) 3(a) State and prove properties of state transition matrix and check controllability and observability for the system. $$\dot{x}=\begin{bmatrix} 0 & 6 & 5\\ 1 & 0 & 2\\ 3 & 2 & 4 \end{bmatrix}x-\begin{bmatrix} 0\\ 1\\ 2 \end{bmatrix}u $$ $$y=[1\ \ \ 3 \ \ \ 0]x$$(10 marks) 3(b) A unity feedback system has $$G(s)=\dfrac{40(s-2)}{s(s-1)(s-4)}$$