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2. State-space representations are not unique. A single system can be represented in several possible ways. Consider the following two systems: -4 System 1: [1 -1] -8 -6 System 2: = [2 0] (a) Find the transfer function G1(s) = C1(sI – A1)-'B1 + Dị for System 1. (b) Find the transfer function G2(s) = C2(sI – A2)¬'B2 + D2 for System 2. (c) Describe the relationship between G1 and G2. What zeros and/or poles do they have in common?

2. State-space representations are not unique. A single system can be represented in several possible ways. Consider the following two systems: -4 System 1: [1 -1] -8 -6 System 2: = [2 0] (a) Find the transfer function G1(s) = C1(sI – A1)-'B1 + Dị for System 1. (b) Find the transfer function G2(s) = C2(sI – A2)¬'B2 + D2 for System 2. (c) Describe the relationship between G1 and G2. What zeros and/or poles do they have in common?

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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Subject: Control Systems

2. State-space representations are not unique. A single system can be represented in several possible ways. Consider the following two systems: A) | -2 -4 System 1: [1 -1] -8 -6 System 2: [ 2 0]| (a) Find the transfer function G1(s) = C1(sI – A1)-1B1 + Dị for System 1. (b) Find the transfer function G2(s) = C2(sI – A2)¬1B2 + D2 for System 2. (c) Describe the relationship between G1 and G2. What zeros and/or poles do they have in common?
Transcribed Image Text:2. State-space representations are not unique. A single system can be represented in several possible ways. Consider the following two systems: A) | -2 -4 System 1: [1 -1] -8 -6 System 2: [ 2 0]| (a) Find the transfer function G1(s) = C1(sI – A1)-1B1 + Dị for System 1. (b) Find the transfer function G2(s) = C2(sI – A2)¬1B2 + D2 for System 2. (c) Describe the relationship between G1 and G2. What zeros and/or poles do they have in common?
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