To prove: Transfer functions G i ( s ) = Y ( s ) R ( s ) is for two given state space representation of systems. A 1 = 0 1 − 2 − 3 ; B 1 = 0 1 ; C 1 = 2 0 A 2 = 0 1 0 0 0 1 − 6 − 11 − 6 ; B 2 = 0 0 1 ; C 2 = 6 2 0

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Answer 1

Question

Chapter 12, Problem 31P

a.

To determine

To prove: Transfer functions Gi(s)=Y(s)R(s) is for two given state space representation of systems.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

b.

To determine

The observability of both the systems defined by the below state space representation.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

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Answer 2

Question

Chapter 12, Problem 31P

a.

To determine

To prove: Transfer functions Gi(s)=Y(s)R(s) is for two given state space representation of systems.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

b.

To determine

The observability of both the systems defined by the below state space representation.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

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Answer 3

Question

Chapter 12, Problem 31P

a.

To determine

To prove: Transfer functions Gi(s)=Y(s)R(s) is for two given state space representation of systems.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

b.

To determine

The observability of both the systems defined by the below state space representation.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 12, Problem 31P

a.

To determine

To prove: Transfer functions Gi(s)=Y(s)R(s) is for two given state space representation of systems.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

b.

To determine

The observability of both the systems defined by the below state space representation.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

Expert Solution & Answer

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Answer 5

Chapter 12, Problem 31P

a.

To determine

To prove: Transfer functions Gi(s)=Y(s)R(s) is for two given state space representation of systems.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

b.

To determine

The observability of both the systems defined by the below state space representation.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

Answer 6

Chapter 12, Problem 31P

a.

To determine

To prove: Transfer functions Gi(s)=Y(s)R(s) is for two given state space representation of systems.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

Answer 7

Chapter 12, Problem 31P

a.

To determine

To prove: Transfer functions Gi(s)=Y(s)R(s) is for two given state space representation of systems.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

Answer 8

b.

To determine

The observability of both the systems defined by the below state space representation.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

Answer 9

b.

To determine

The observability of both the systems defined by the below state space representation.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 12 - Prob. 1RQ Ch. 12 - Prob. 2RQ Ch. 12 - 3. Different signal-flow graphs can represent the...Ch. 12 - Prob. 4RQ Ch. 12 - Under what conditions can inspection of the...Ch. 12 - In order to determine controllability...Ch. 12 - Prob. 7RQ Ch. 12 - Prob. 8RQ Ch. 12 - Prob. 9RQ Ch. 12 - Prob. 10RQ

To prove: Transfer functions G i ( s ) = Y ( s ) R ( s ) is for two given state space representation of systems. A 1 = 0 1 − 2 − 3 ; B 1 = 0 1 ; C 1 = 2 0 A 2 = 0 1 0 0 0 1 − 6 − 11 − 6 ; B 2 = 0 0 1 ; C 2 = 6 2 0

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To prove: Transfer functions Gi(s)=Y(s)R(s) is for two given state space representation of systems.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

The observability of both the systems defined by the below state space representation.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

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Chapter 12 Solutions

To prove: Transfer functions G i ( s ) = Y ( s ) R ( s ) is for two given state space representation of systems. A 1 = 0 1 − 2 − 3 ; B 1 = 0 1 ; C 1 = 2 0 A 2 = 0 1 0 0 0 1 − 6 − 11 − 6 ; B 2 = 0 0 1 ; C 2 = 6 2 0

Concept explainers

Videos

To prove: Transfer functions Gi(s)=Y(s)R(s) is for two given state space representation of systems. A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

The observability of both the systems defined by the below state space representation. A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

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Chapter 12 Solutions

To prove: Transfer functions Gi(s)=Y(s)R(s) is for two given state space representation of systems.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0

The observability of both the systems defined by the below state space representation.

A1= 0 1 −2 −3;B1= 0 1;C1=2 0A2= 0 1 0 0 0 1 −6 −11 −6;B2= 0 0 1;C2=6 2 0