Question: For the unity feedback system shown in Figure P8.3, where do the following: a. Sketch the root locus. b. Find the range of gain, K,

For the unity feedback system shown in Figure P8.3, where

K(s + 10)(s +20) 10s- G(s) = (s + 30)(s2 10 s+100)

do the following:

a. Sketch the root locus.

b. Find the range of gain, K, that makes the system stable.

c. Find the value of K that yields a damping ratio of 0.707 for the system’s closed-loop dominant poles.

d. Find the value of K that yields closed-loop critically damped dominant poles.

K(s + 10)(s +20) 10s- G(s) = (s + 30)(s2 10 s+100)

Step by Step Solution

★★★★★

3.45 Rating (177 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
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 Systems Engineering Questions!

Q:

Sketch the root locus for the unity feedback system shown in Figure P8.3, where Give the values for all critical points of interest. Is the system ever unstable? If so, for what range of K? K(s +2)...

Q:

The unity feedback system shown in Figure P8.3, where is to be designed for minimum damping ratio. Find the following: a. The value of K that will yield minimum damping ratio b. The estimated percent...

Q:

For the unity feedback system shown in Figure P8.3, where do the following: a. Find the location of the closed-loop dominant poles if the system is operating with 15% overshoot. b. Find the gain for...

Q:

For the unity feedback system shown in Figure P8.3, where do the following: a. Sketch the root locus. b. Find the asymptotes. c. Find the range of gain, K, that makes the system stable. d. Find the...

Q:

For the unity feedback system shown in Figure P8.3, where do the following: a. Sketch the root locus. b. Find the asymptotes. c. Find the range of gain, K, that makes the system stable. d. Find the...

Q:

Repeat Parts a through c and e of Problem 35 for Data From Problem 35: For the unity feedback system shown in Figure P8.3, where do the following: a. Sketch the root locus. b. Find the j-axis...

Q:

For the unity feedback system shown in Figure P8.3, where do the following: a. Sketch the root locus. b. Find the j-axis crossing and the gain, K, at the crossing. c. Find all breakaway and break-in...

Q:

Given the unity feedback system shown in Figure P8.3, where do the following problem parts by first making a second-order approximation. After you are finished with all of the parts, justify your...

Q:

For the unity feedback system shown in Figure P8.3, where find the value of so that the system will have a settling time of 2 seconds for large values of K. Sketch the resulting root locus. K(s +a)...

Q:

For the unity feedback system shown in Figure P8.3, where sketch the root locus and tell for what values of K the system is stable and unstable. K(s-9) G(s) = (s2 +4)

Q:

Let f: U C be a complex differentiable function on an open set UC C. Given z EU, calculate the limit of the difference quotient f'(z) = lim (+2 (S) - f(z) S-2 using values = z+ih where h R. Obtain...

Q:

(A) (B) esgn x Let f(x) = e XER where and [] denotes the fractional and integral part functions, respectively. Also h(x) = log (f(x))+log (g(x)) then for real x, h(x) is (C) (D) and g(x)= el elsgnx...

Q:

Cards vs Debit cards. Pick all that are true. Group of answer choices Credit cards help build your credit credit cards usually offer better fraud protection Debit cards help build your credit Debit...

Q:

What is the purpose of a concentration limit?

Q:

For each of the following systems give an example of how a mechanical engineer would have to address environmental issues in its design. (a) Wetsuit (b) Refrigerator (c) Space tourism vehicle (d)...

Q:

Read one of the Mechanical Engineering articles listed in the References section at the end of this chapter, describing a top ten achievement. Prepare a technical report of at least 250 words...

Q:

What other product or device do you think should be on the list of the top mechanical engineering achievements? Prepare a technical report of at least 250 words detailing your rationale and listing...

Q:

Stock. java public class Stock { private String name; /ame of company private String symbol; //Symbol of company on Stock Exchange private double price; //price per share private int shares; /umber...

Q:

The Lopez-Portillo Company has $11.3 million in assets, 90 percent financed by debt, and 10 percent financed by common stock. The interest rate on the debt is 10 percent and the par value of the...

Q:

Daily Enterprises is purchasing a $ 1 4 , 0 0 0 , 0 0 0 machine. The machine will depreciated using straight - line depreciation over its 6 year life and will have no salvage value. The machine will...