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2. Which of the following describes the relationship between the transfer function R(s) in Question 1.1, and the state-space description (A, B, C, D) in Question 1.2? Note: Additional calculations are not needed to answer this. More than one response may be correct. U (s) (a) The zeros of G(s) are the roots of the characteristic equation of A. (b) The poles of G(s) are the same as the eigenvalues of the A matrix. (c) Every pole of G(s) satisfies the equation |sI - A| = 0. (d) The number of zeros is the same as the size of either of the number of rows or columns of the square matrix A.

2. Which of the following describes the relationship between the transfer function R(s) in Question 1.1, and the state-space description (A, B, C, D) in Question 1.2? Note: Additional calculations are not needed to answer this. More than one response may be correct. U (s) (a) The zeros of G(s) are the roots of the characteristic equation of A. (b) The poles of G(s) are the same as the eigenvalues of the A matrix. (c) Every pole of G(s) satisfies the equation |sI - A| = 0. (d) The number of zeros is the same as the size of either of the number of rows or columns of the square matrix 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
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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Recall that i(t) = -31(t) + r(t) + 5u(t) and r(t) = l(t) – 2r(t). This system can be re-written in 3 1 B : 0 1], D=0. state-space form with A = 2. Which of the following describes the relationship between the transfer function R(s) in Question 1.1, and the state-space description (A, B, C, D) in Question 1.2? Note: U(s) Additional calculations are not needed to answer this. More than one response may be correct. (a) The zeros of G(s) are the roots of the characteristic equation of A. (b) The poles of G(s) are the same as the eigenvalues of the A matrix. (c) Every pole of G(s) satisfies the equation |sI – A| =0. (d) The number of zeros is the same as the size of either of the number of rows or columns of the square matrix A.
Transcribed Image Text:Recall that i(t) = -31(t) + r(t) + 5u(t) and r(t) = l(t) – 2r(t). This system can be re-written in 3 1 B : 0 1], D=0. state-space form with A = 2. Which of the following describes the relationship between the transfer function R(s) in Question 1.1, and the state-space description (A, B, C, D) in Question 1.2? Note: U(s) Additional calculations are not needed to answer this. More than one response may be correct. (a) The zeros of G(s) are the roots of the characteristic equation of A. (b) The poles of G(s) are the same as the eigenvalues of the A matrix. (c) Every pole of G(s) satisfies the equation |sI – A| =0. (d) The number of zeros is the same as the size of either of the number of rows or columns of the square matrix A.
The dynamics of a solar collector used for heating a two-room building are described by the coupled differential equations i(t) = -31(t) + r(t) + 5u(t) (1) †(t) = l(t) – 2r(t) (2) in which 1(t) is the deviation in temperature in the left room, r(t) is the deviation in temperature in the right room, and the input u(t) is the heat generated by the solar collector. Using the differential equations above, find the transfer function G(s) = 8 1. For full credit, put the transfer function into standard form. (Presume that the initial condi- tions are all zero.)
Transcribed Image Text:The dynamics of a solar collector used for heating a two-room building are described by the coupled differential equations i(t) = -31(t) + r(t) + 5u(t) (1) †(t) = l(t) – 2r(t) (2) in which 1(t) is the deviation in temperature in the left room, r(t) is the deviation in temperature in the right room, and the input u(t) is the heat generated by the solar collector. Using the differential equations above, find the transfer function G(s) = 8 1. For full credit, put the transfer function into standard form. (Presume that the initial condi- tions are all zero.)
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