Question: A system in unity feedback configuration, has the transmittance [ mathrm{G}(s)=frac{mathrm{K}}{(s+3)(s+9)(s+15)} ] Use frequency response methods to determine the value of K. Such that system

A system in unity feedback configuration, has the transmittance

\[
\mathrm{G}(s)=\frac{\mathrm{K}}{(s+3)(s+9)(s+15)}
\]

Use frequency response methods to determine the value of K. Such that system is forced to exhibit

(a) Gain margin of $10 \mathrm{~dB}$.

(b) Percent overshoot in step response of $28.5 \%$.

Step by Step Solution

★★★★★

3.47 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the value of K such that the system exhibits a certain gain margin and percent overshoot we ... 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 Systems Analysis And Design Questions!

In Exercises 912, write the system of linear equations represented by the augmented matrix. Use x, y, and z, or, if necessary, w, x, y, and z, for the variables. 1 1 4 -1 1 -1 20 00 1 3 0 7 0 5 11 12...

Given the unity feedback system of Figure P11.1, use frequency response methods to determine the value of gain, K, to yield a step response with a 20% overshoot if a. b. c. K G(s) = s(s+ 8)(s + 15)

A system in unity feedback configuration has the loop transmittance \[ \mathrm{G}(s)=\frac{\mathrm{K}}{s(2 s+1)} \] Using frequency response techniques, do the following: (a) Find $\mathrm{K}$ to...

African Journal of Procurement, Logistics & Supply Chain Management (https://damaacademia.com/ajplscm/) Volume 1, Issue 3, pp.36-49, March 2019 Published by: Dama Academic Scholarly & Scientific...

This text was adapted by The Saylor Foundation under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License without attribution as requested by the work's original creator or licensee. 1...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

Help with writing a short analytical summary of 150-200 words on each of the 2 articles below. Article 1: Exploring community-based options for reducing youth crime. The BackTrack program was...

For the system with unity feedback shown in Figure E5.l l, determine the steady-state error for a step and a ramp input when Figure E5.11 Unity feedback system. 20 G(s)--+ 14s + 50 Gs) Yts)

A system with unity feedback is shown in Figure E5.11. Determine the steady-state error for a step and a ramp input when Figure E5.11 Unity feedback system. 5(s + 8) s(s 1)(s 4)(s 10) G(s) Gs) Yts)

JKR is considering paving roads in a district either using concrete or tar. Concrete will last for 10 years while tar will last for 5 years. Data for each alternative is included in the table below....

The project sponsor is upset with costs included for quality management and wants to reduce the budget. Describe the meaning of quality cost, different types and how to minimize without affecting...

derivative of 2 0 - 1 2 0 8 + t 2 2

Morelli Electric Motor Corporation manufactures electric motors for commercial use. The company produces three models, designated as standard, deluxe, and heavy-duty. The company uses a job-order...

For each case below, plot the Nichols chart and closed-loop frequency response. If the system is stable find the gain margin, phase margin, peak closed-loop frequency response, and system bandwidth....

Given the pulse transfer function $G(z)$ of a plant. For $w=2 \mathrm{rad} / \mathrm{s}, G\left(\varepsilon^{j \omega T}ight)$ is equal to the complex number $1.3 \angle\left(-25^{\circ}ight)$....

For the antenna control system of Problem 7.5-5 and Fig. P7.5-5, let $K=1$. (a) The frequency response for $G(z)$ was calculated by computer and is given in Table P7.7-2. Sketch the Nyquist...

Q10) Suppose you deposit $514.00 today, $361.00 in one year, and $267.00 in two years in an account that pays an annual rate of interest of 18.30% . How much money will be in the account after three...

ALL of these I just paid 15$ thinking they were all answered.

assume a perpetual inventory system Using the LIFO inventory costing method, what is the cost of ending inventory? $