Question: Consider a unity feedback system with loop transfer function Determine the value of the gain K such that the percent overshoot to a unit step

Consider a unity feedback system with loop transfer function L(s) = Ge(s)G(s) = K(s + 2) (s + 5) (s + Determine the value of the gain K such that the percent overshoot to a unit step is minimized.

L(s) = Ge(s)G(s) = K(s + 2) (s + 5) (s + s + 10)

Step by Step Solution

★★★★★

3.35 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The closedloop transfer function is The percent overshoot as fu... 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 Modern Control Systems Questions!

Consider a unity feedback system with loop transfer function Determine the value of the gain K such that the percent overshoot to a unit step is minimized. K(s 1) (s)-G(s)G(s) = (s + 4)(s2 + s + 10)

Consider a unity feedback system with the plant Gp(s) and the controller Gc(s). PID control action is applied to the plant Gp(s) = s + 10 / (s + 1) (s + 2) The PID controller has the transfer...

Consider a unity feedback system with the loop transfer function (a) Plot the Bode diagram, (b) Find the gain margin and the phase margin. 10 0.4s) 2s)(10.24s 0.04s2) G(s)G(s)-

A feedback system with negative unity feedback has a loop transfer function L s G s G s s s s c 2 8 4 ( ) ( ) ( ) . ( ) ( ) = = + + ( a ) Determine the closed - loop transfer function T ( s ) = Y ( s...

Question 9. Given the root locus of a unity feedback system whose open-loop transfer function is, K G(s) = s(s+3)(s + 2s + 2) (a) Sketch the root locus. When sketching the root locus you may use the...

Question 9. Given the root locus of a unity feedback system whose open-loop transfer function is, K G(s) = 3(s + 3)(s + 2s + 2) (a) Sketch the root locus. When sketching the root locus you may use...

A feedback system with negative unity feedback has a loop transfer function (a) Determine the closed-loop transfer function T(s) = Y(s)/R(s). (b) Find the time response, y(t), for a step input r(t) =...

D O NO T Ta KE IF YOU CANNOT ANSWEAR ALL THE QUESTION AS SUPPOSED OR I WILL RATE UNHELPFUL AND REPORT FOR PLAG Peru Domestic: a bond is issued in the US Global: a bond is issued in the US and foreign...

Yego Domestic: a bond is issued in the US Global: a bond is issued in the US and foreign markets Eurobonds: a bond denominated in USD is issued in the foreign market. You need to estimate the...

The steering input controls the lateral motion of the vehicle (see Figure 1). The automated vehicle steering control system uses information about the vehicle position relative to the center of the...

In each case, either write V as a linear combination of X, Y, and Z, or show that it is not such a linear combination. Let (a) (b) (c) (d) -1 -2 013

Consider Example 14 about the power of the test used in the TT experiment for testing H0: p = 0.50 against Ha: p > 0.50, where p is the probability of a correct prediction about which hand was nearer...

49. LO.5 Collins, Inc., a domestic corporation, operates a manufacturing branch in Singapore. During the current year, the manufacturing branch produces a loss of $300,000. Collins also earns...

2. He had an excellent background in U.S. sales. a. experience b. time c. interest

The accurate control of a nuclear reactor is important for power system generators. Assuming the number of neutrons present is proportional to the power level, an ionization chamber is used to...

A light-seeking control system, used to track the sun, is shown in Figure P1.5. The output shaft, driven by the motor through a worm reduction gear, has a bracket attached on which are mounted two...

Feedback systems do not always involve negative feedback. Economic inflation, which is evidenced by continually rising prices, is a positive feedback system. A positive feedback control system, as...

Jennifer earns $81000 per year as an employee. How much will she pay this year in Social Security taxes? (Round answer to 2 decimal places, e.g. 52.75.) O $6196.50 O $5022.00 O $1174.50. O $0 because...

Please answer b-1 and b-2. Thank you! Consider the following information: State of Economy Boom Good Poor Bust a. Probability of State of Economy a. Expected return b-1. Variance b-2. Standard...

Growth Company's current share price is $ 2 0 . 1 5 and it is expected to pay a $ 1 . 1 0 dividend per share next year. After that, the firm's dividends are expected to grow at a rate of 3 . 8 % per...