Question: The open loop transfer function of a unity feedback control system is given by [ mathrm{G}(s)=frac{k}{s(s mathrm{~T}+1)} ] (a) By what factor gain (mathrm{k}) should

The open loop transfer function of a unity feedback control system is given by
\[
\mathrm{G}(s)=\frac{k}{s(s \mathrm{~T}+1)}
\]
(a) By what factor gain \(\mathrm{k}\) should be multiplied so that damping ratio increases from 0.2 to 0.8 ?
(b) By what factor the time constant \(\mathrm{T}\) should be multipled so that damping ratio reduces from 0.6 to 0.3 ?

Step by Step Solution

★★★★★

3.30 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a To increase the damping ratio from 02 to 08 the gain k needs to be multiplied by a factor of 4 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Control System Analysis And Design Questions!

Complete the table to assess risks and develop contingencies for resources you are planning for. Potential risks Planned Response Risk associated with the acquisition or implementation of the...

Consider the track shown in the figure below. The section AB is one quadrant of a circle of radius 2.0 m and the spring constant of the spring is 435 N/m. m=1.0 kg 2.0 m B D a) If the entire track is...

5. Answer the following questions using the diagram below. T-323 is sealed. LT-323 is measuring the interface level between two process liquids. Show your work. 84 URV 60 SG: 0.95 T-323 LRV 12" SG:...

got stuck here 10+ S The closed loop transfer function of a unity feedback control system is given by T(s) =- 33 +382 +2s +60 loop DC gain of the system will be The open +

The open-loop transfer function of a unity feedback control system is given by: \[ G(s)=\frac{K}{s(1+\tau s)} \] (a) By what factor the gain be multiplied so that damping ratio is increased from 0.2...

The open-loop transfer function of a unity feedback control system is given by \(\mathrm{G}(s)=\frac{\mathrm{K}}{s(s+1)}\). If the gain \(\mathrm{K}\) is increased to infinity, then the damping ratio...

The open loop transfer function of a unity feedback system is given by \(\frac{\mathrm{K}}{s(s+1)}\). If the value of gain \(\mathrm{K}\) is such that the system is critically damped, the closed loop...

control system The open loop transfer function of a unity feedback system is given as G(s)-K/s (s/5 +1)(s/20+1) It is expected from this system to meet the following specifications i) Acceleration...

Lampu Terang Bhd is one of the largest electrical and electronic distributors in Malaysia that was established in 1975s. The company has been listed in the Bursa Malaysia in the beginning of year...

What contributions and costs have TomToms acquisitions and partnerships made to the organization? Explain your answer.

Which is correct? A subsection of the Uniform Commercial Code, Article 4 - state law - governs a customer's liability for unauthorized charges on her credit card. Federal law governs a consumer's...

=+2 Suggest a more economically plausible relationship between monthly maintenance costs and monthly machine-hours. Justify your choice.

For Fig. P5.3-2, list, for each system, all transfer functions that contain the transfer function of a zero-order hold. R + R(s) + R + T T G(s) G(s) H(s) G(s) H(s) (b) + H(s) (c) T H(s) G(s) G(s) T...

For Fig. P5.3-1, list, for each system, all transfer functions that contain the transfer function of a zero-order hold. Fig. P5.3-1 R(s) R(s) R(s) + T T T T (a) (b) G(s) H(s) G(s) H(s) G(s) H(s) T...

The company Smart Inc. is a company that produces Dog Shampoo in Toronto area. The results of the company, which has been mediocre for the past couple of years, have been presented in the annual...

Refer to Table 10-1, which is based on bonds paying 10 percent interest for 20 years. Assume interest rates in the market (yield to maturity) decline from 11 percent to 8 percent. a. What is the bond...

Hello, Could you please answer this question? Thank you very much. * What is the business model of the university of waterloo and what role does extending credit to students play in this model? What...