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Q3 (a) Consider the transfer function system below. Y(s) s2 + 4s + 6 U(s) s3 + 6s2 + 4s + 2 Obtain a state-space representation of this system showing all intermediate steps. Briefly describe the characteristics of signal flow diagrams, and explain how you convert the state equations of a system (for example, a system like in part (a)) into a signal flow diagram. (b) It is required to design a state-feedback controller for the system defined in part (a) with the desired closed-loop poles at: (c) s = -1+ 2j; s = -5 Determine the gain values of the state feedback vector for this design.

Q3 (a) Consider the transfer function system below. Y(s) s2 + 4s + 6 U(s) s3 + 6s2 + 4s + 2 Obtain a state-space representation of this system showing all intermediate steps. Briefly describe the characteristics of signal flow diagrams, and explain how you convert the state equations of a system (for example, a system like in part (a)) into a signal flow diagram. (b) It is required to design a state-feedback controller for the system defined in part (a) with the desired closed-loop poles at: (c) s = -1+ 2j; s = -5 Determine the gain values of the state feedback vector for this design.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q3 (a) Consider the transfer function system below. s2 + 4s + 6 Y(s) U(s) s3 + 6s2 + 4s + 2 Obtain a state-space representation of this system showing all intermediate steps. Briefly describe the characteristics of signal flow diagrams, and explain how you convert the state equations of a system (for example, a system like in part (a)) into a signal flow diagram. (b) It is required to design a state-feedback controller for the system defined in part (a) with the desired closed-loop poles at: (c) s = -1+ 2j; s = -5 Determine the gain values of the state feedback vector for this design.
Transcribed Image Text:Q3 (a) Consider the transfer function system below. s2 + 4s + 6 Y(s) U(s) s3 + 6s2 + 4s + 2 Obtain a state-space representation of this system showing all intermediate steps. Briefly describe the characteristics of signal flow diagrams, and explain how you convert the state equations of a system (for example, a system like in part (a)) into a signal flow diagram. (b) It is required to design a state-feedback controller for the system defined in part (a) with the desired closed-loop poles at: (c) s = -1+ 2j; s = -5 Determine the gain values of the state feedback vector for this design.
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