Question: 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

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 Part a.

c. Find all other closed-loop poles.

d. Evaluate the accuracy of your second-order approximation.

K G(s) = (s + 3)(s + 4s +5) %3D

Step by Step Solution

★★★★★

3.45 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a To achieve 15 overshoot in a closedloop system we need to place the closedloop dominant poles at a damping ratio of 05 The damping ratio is given by ... 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 Systems Engineering Questions!

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...

For the unity feedback system shown in Figure P8.3, where find K to yield closed-loop complex poles with a damping ratio of 0.55. Does your solution require a justification of a second-order...

For the unity feedback system shown in Figure 8.3,where design K and so that the dominant complex poles of the closed-loop function have a damping ratio of 0.5 and a natural frequency of 1.2 rad/s....

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...

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, that makes the system stable. c. Find the value of K that yields a...

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...

The unity feedback system shown in Figure P9.1 with is operating with 30% overshoot. a. Find the transfer function of a cascade compensator, the system gain, and the dominant pole location that will...

Question 1a Ris) C's) Gels) K; s(s+5)(8 +15) Figure 12.1 Figure 1a.1 shows the block diagram of the closed loop control of the linearized magnetic levitation system. Assume that Go (8)=1. K1=1 and...

Consider the unity feedback system shown in Figure P9.1 with a. Find the location of the dominant poles to yield a 1.2 second settling time and an overshoot of 15%. b. If a compensator with a zero at...

Explain what we mean by a "geometric Brownian motion" (GBM) and if it is a reasonable representation of the "real world" behaviour of stock prices. Explain what information is required to simulate...

Use the information in RE21-3. Prepare the journal entries that Richie Company (the lessor) would make in the first year of the lease assuming the lease is classified as a sales-type lease. Assume...

CHALLENGE How large a sample is needed? The changing probabilities you found in Exercises 5.22 and 5.24 are due to the fact that the standard deviation of the sample proportion p gets smaller as the...

Discuss the impact of timing and managerial skill in entrepreneurial success. Why would the price of a venture started by a serial entrepreneur with timing success tend not to be particularly high?

Cd 2+ was used as an internal standard in the analysis of Pb 2+ by square wave polarography. Cd 2+ gives a reduction wave at -0.60 (0.02) V and Pb 2+ gives a reduction wave at -0.40 ( 0.02) V. It was...

Consider the cyclic voltammogram of the Co 3+ compound Co(B 9 C 2 H 11 )2. Suggest a chemical reaction to account for each wave. Are the reactions reversible? How many electrons are involved in each...

In a coulometric Karl Fischer water analysis, 25.00 mL of pure dry methanol required 4.23 C to generate enough I 2 to react with the residual H 2 O in the methanol. A suspension of 0.847 6 g of...

You have had a 15yr FA FRM at 7% for 6 years. The original principal was $500,000. You are considering a cash-out refi into a 30-year mortgage at 5%. The old mortgage has no prepay penalty. The new...

Content attribution QUESTION 2 . 1 POINT A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted sample proportion of p' = 0.14, with a...

You are considering two mutually exclusive investment opportunities: Year 0 Year 1 Year 2 Discount Project Cash Flow Cash Flow Cash Flow Rate A -$29,000 $35,000 $10,000 8% B -$210,000 $30,000...