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2003 Course Control Systems - II

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Total No. of Questions : 9] P1340 [Total No. of Pages : 3 [3764]-204 B.E. (Electrical) CONTROL SYSTEMS - II (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidate: 1) Answer any one question from each pair of questions Q.No.1 and Q.No.2, Q.No.3 and Q.No.4, Q.No.5 and Q.No.6 from Section I. 2) Questions No.7, 8, 9 from Section II are compulsory. 3) Answers to the two sections should be written in separate answer books. 4) Neat diagrams must be drawn wherever necessary. 5) Figures to the right indicate full marks. 6) Use of logarithmic tables slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. 7) Assume suitable data, if necessary. SECTION - I Q1) a) b) Define and explain the terms: i) State iii) State space [8] ii) State variables iv) State equation Obtain state model by direct decomposition method of a system whose Y (s ) 5s 2 + 6 s + 8 =3 transfer function is ( ) . U s s + 3s 2 + 7 s + 9 [8] OR Q2) a) b) Derive the relationship between transfer function and the state variable model representation. [8] Find the Transfer function of the system having state model, 1 1 & 0 X= X + 0 U and Y = [1 0]X . 2 3 Q3) a) Define and explain the terms i) Eigen values iii) Modal Matrix [8] [8] ii) Eigen vector iv) Vander Monde Matrix P.T.O. 1

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