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5. (a) A system can be represented by the block diagram shown in Figure Q.5(a). Given that the transfer functions of the individual blocks are: G,(s) = G,(8) = -, H,(8) = 5s, H,(s) = K . ² + 3s + 2 Using block diagram simplification techniques show that the transfer function of the system is: C(s) R(s) s'+8s + 2s + K H2 R(s) C(s) G1 G2 H1 Figure Q.5(a)

5. (a) A system can be represented by the block diagram shown in Figure Q.5(a). Given that the transfer functions of the individual blocks are: G,(s) = G,(8) = -, H,(8) = 5s, H,(s) = K . ² + 3s + 2 Using block diagram simplification techniques show that the transfer function of the system is: C(s) R(s) s'+8s + 2s + K H2 R(s) C(s) G1 G2 H1 Figure Q.5(a)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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SECTION B 5. (a) A system can be represented by the block diagram shown in Figure Q.5(a). Given that the transfer functions of the individual blocks are: G,(s) = G,(s) = , H,(s) = 5s, H,(s) = K . s + 3s + 2 Using block diagram simplification techniques show that the transfer function of the system is: C(s) R(s) s'+8s² + 2s + K H2 R(s) C(s) G1 G2 H1 Figure Q.5(a) b) Using Routh's Stability Criteria, determine the range of values of K to ensure that the system shown in Figure Q.5(a) is stable. c) A system has a characteristic equation which can be factorised to give: (s+ 4)(s² - 4s +13) =0 Comment on the stability and characteristic response of this system.
Transcribed Image Text:SECTION B 5. (a) A system can be represented by the block diagram shown in Figure Q.5(a). Given that the transfer functions of the individual blocks are: G,(s) = G,(s) = , H,(s) = 5s, H,(s) = K . s + 3s + 2 Using block diagram simplification techniques show that the transfer function of the system is: C(s) R(s) s'+8s² + 2s + K H2 R(s) C(s) G1 G2 H1 Figure Q.5(a) b) Using Routh's Stability Criteria, determine the range of values of K to ensure that the system shown in Figure Q.5(a) is stable. c) A system has a characteristic equation which can be factorised to give: (s+ 4)(s² - 4s +13) =0 Comment on the stability and characteristic response of this system.
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