The major advantage of compensator design by frequency response over root locus design.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 11, Problem 1RQ

To determine

The major advantage of compensator design by frequency response over root locus design.

Expert Solution & Answer

Explanation of Solution

For a system, the total response of the system is the sum of the steady state response and transient response.

T=Ts+Tr

Where,

Ts is the steady state response.

Tr is the transient response.

In any system, the input poles generate the steady state response and the poles at the origin generate the step function at the output. The poles of the transfer function generate the natural response or the transient response.

Compensator is a device which can be used to improve the steady and transient response of a system. Gain of compensator is used in series with Gs . So, a modified open loop transfer function is obtained. This is the reason that transient and steady state response of the system gets changed after adding the compensator in the circuit.

The major advantage that compensator design by frequency response has over root locus design is derivative compensation. For example, lead compensation, to speed up the system as well as for desired steady-state error, requirement can be full-filled by lead compensator alone. But this advantage is not possible in design by root locus because in root locus there are an infinite number of possible solutions to the design of a lead compensator and difference between these solutions gives the steady-state error.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

4. An operating parameter often used by power plant engineers is the heat rate. The heat rate is defined as, HR Qbioler Wnet where Qbioler is the heat transfer rate (Btu/h) to the water in the boiler due to the combustion of a fuel and Wnet is the net power (kW) delivered by the plant. In comparison, the thermal efficiency of the power plant is defined as, nth Wnet Qbioler where the numerator and denominator have the same units. Consider a power plant that is delivering 1000 MW of power while utilizing a heat transfer rate of 3570 MW at the boiler. Determine the heat rate and thermal efficiency of this power plant.

The shaft shown in the sketch is subjected to tensile torsional and bending loads Determine the principal stresses at the location of stress concentration ✓ D=45MR F=3MM 1000-M 1000N チ d=30mm 500N 150 мм MM- 120 MA-

calculate moment of inertia of this tapered beam structure

Answer 2

Question

Chapter 11, Problem 1RQ

To determine

The major advantage of compensator design by frequency response over root locus design.

Expert Solution & Answer

Explanation of Solution

For a system, the total response of the system is the sum of the steady state response and transient response.

T=Ts+Tr

Where,

Ts is the steady state response.

Tr is the transient response.

In any system, the input poles generate the steady state response and the poles at the origin generate the step function at the output. The poles of the transfer function generate the natural response or the transient response.

Compensator is a device which can be used to improve the steady and transient response of a system. Gain of compensator is used in series with Gs . So, a modified open loop transfer function is obtained. This is the reason that transient and steady state response of the system gets changed after adding the compensator in the circuit.

The major advantage that compensator design by frequency response has over root locus design is derivative compensation. For example, lead compensation, to speed up the system as well as for desired steady-state error, requirement can be full-filled by lead compensator alone. But this advantage is not possible in design by root locus because in root locus there are an infinite number of possible solutions to the design of a lead compensator and difference between these solutions gives the steady-state error.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 11, Problem 1RQ

To determine

The major advantage of compensator design by frequency response over root locus design.

Expert Solution & Answer

Explanation of Solution

For a system, the total response of the system is the sum of the steady state response and transient response.

T=Ts+Tr

Where,

Ts is the steady state response.

Tr is the transient response.

In any system, the input poles generate the steady state response and the poles at the origin generate the step function at the output. The poles of the transfer function generate the natural response or the transient response.

Compensator is a device which can be used to improve the steady and transient response of a system. Gain of compensator is used in series with Gs . So, a modified open loop transfer function is obtained. This is the reason that transient and steady state response of the system gets changed after adding the compensator in the circuit.

The major advantage that compensator design by frequency response has over root locus design is derivative compensation. For example, lead compensation, to speed up the system as well as for desired steady-state error, requirement can be full-filled by lead compensator alone. But this advantage is not possible in design by root locus because in root locus there are an infinite number of possible solutions to the design of a lead compensator and difference between these solutions gives the steady-state error.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 11, Problem 1RQ

To determine

The major advantage of compensator design by frequency response over root locus design.

Expert Solution & Answer

Explanation of Solution

For a system, the total response of the system is the sum of the steady state response and transient response.

T=Ts+Tr

Where,

Ts is the steady state response.

Tr is the transient response.

In any system, the input poles generate the steady state response and the poles at the origin generate the step function at the output. The poles of the transfer function generate the natural response or the transient response.

Compensator is a device which can be used to improve the steady and transient response of a system. Gain of compensator is used in series with Gs . So, a modified open loop transfer function is obtained. This is the reason that transient and steady state response of the system gets changed after adding the compensator in the circuit.

The major advantage that compensator design by frequency response has over root locus design is derivative compensation. For example, lead compensation, to speed up the system as well as for desired steady-state error, requirement can be full-filled by lead compensator alone. But this advantage is not possible in design by root locus because in root locus there are an infinite number of possible solutions to the design of a lead compensator and difference between these solutions gives the steady-state error.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 11, Problem 1RQ

To determine

The major advantage of compensator design by frequency response over root locus design.

Expert Solution & Answer

Explanation of Solution

For a system, the total response of the system is the sum of the steady state response and transient response.

T=Ts+Tr

Where,

Ts is the steady state response.

Tr is the transient response.

In any system, the input poles generate the steady state response and the poles at the origin generate the step function at the output. The poles of the transfer function generate the natural response or the transient response.

Compensator is a device which can be used to improve the steady and transient response of a system. Gain of compensator is used in series with Gs . So, a modified open loop transfer function is obtained. This is the reason that transient and steady state response of the system gets changed after adding the compensator in the circuit.

The major advantage that compensator design by frequency response has over root locus design is derivative compensation. For example, lead compensation, to speed up the system as well as for desired steady-state error, requirement can be full-filled by lead compensator alone. But this advantage is not possible in design by root locus because in root locus there are an infinite number of possible solutions to the design of a lead compensator and difference between these solutions gives the steady-state error.

Answer 6

Chapter 11, Problem 1RQ

To determine

The major advantage of compensator design by frequency response over root locus design.

Expert Solution & Answer

Explanation of Solution

For a system, the total response of the system is the sum of the steady state response and transient response.

T=Ts+Tr

Where,

Ts is the steady state response.

Tr is the transient response.

In any system, the input poles generate the steady state response and the poles at the origin generate the step function at the output. The poles of the transfer function generate the natural response or the transient response.

Compensator is a device which can be used to improve the steady and transient response of a system. Gain of compensator is used in series with Gs . So, a modified open loop transfer function is obtained. This is the reason that transient and steady state response of the system gets changed after adding the compensator in the circuit.

The major advantage that compensator design by frequency response has over root locus design is derivative compensation. For example, lead compensation, to speed up the system as well as for desired steady-state error, requirement can be full-filled by lead compensator alone. But this advantage is not possible in design by root locus because in root locus there are an infinite number of possible solutions to the design of a lead compensator and difference between these solutions gives the steady-state error.

Answer 7

Chapter 11, Problem 1RQ

To determine

The major advantage of compensator design by frequency response over root locus design.

Answer 8

Expert Solution & Answer

Explanation of Solution

For a system, the total response of the system is the sum of the steady state response and transient response.

T=Ts+Tr

Where,

Ts is the steady state response.

Tr is the transient response.

In any system, the input poles generate the steady state response and the poles at the origin generate the step function at the output. The poles of the transfer function generate the natural response or the transient response.

Compensator is a device which can be used to improve the steady and transient response of a system. Gain of compensator is used in series with Gs . So, a modified open loop transfer function is obtained. This is the reason that transient and steady state response of the system gets changed after adding the compensator in the circuit.

The major advantage that compensator design by frequency response has over root locus design is derivative compensation. For example, lead compensation, to speed up the system as well as for desired steady-state error, requirement can be full-filled by lead compensator alone. But this advantage is not possible in design by root locus because in root locus there are an infinite number of possible solutions to the design of a lead compensator and difference between these solutions gives the steady-state error.