Question 9. Given the root locus of a unity feedback system whose open-loop transfer function is,...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Question 9. Given the root locus of a unity feedback system whose open-loop transfer function is, K G(s) = 3(s + 3)(s² + 2s + 2) (a) Sketch the root locus. When sketching the root locus you may use the asymptotes finding o, and 0, that are the intersecting point and angles with the real axis, respectively with the following formula, (2k+1)m Efinite poles-E finite zeros Hfinite poles-finite pzeros and a = winite poles-#finite pzeros where k = 0, ±1,±2, . (b) Determine the break away and break-in points if applies. Then find the gain values at those points. (c) Find the imaginary-axis crossing points and the gain value at those points. (d) Write the stability range for gain. (e) Determine the closed-loop poles when K = 4. (i) Select a gain value from the root locus to allow for maximum 5% overshoot and plot this response on the same plane. Indicate those gain values on the plot. G) What is the system type? Determine steady-state errors for K = 4 when the inputs are unit step and unit ramp, respectively. Question 9. Given the root locus of a unity feedback system whose open-loop transfer function is, K G(s) = 3(s + 3)(s² + 2s + 2) (a) Sketch the root locus. When sketching the root locus you may use the asymptotes finding o, and 0, that are the intersecting point and angles with the real axis, respectively with the following formula, (2k+1)m Efinite poles-E finite zeros Hfinite poles-finite pzeros and a = winite poles-#finite pzeros where k = 0, ±1,±2, . (b) Determine the break away and break-in points if applies. Then find the gain values at those points. (c) Find the imaginary-axis crossing points and the gain value at those points. (d) Write the stability range for gain. (e) Determine the closed-loop poles when K = 4. (i) Select a gain value from the root locus to allow for maximum 5% overshoot and plot this response on the same plane. Indicate those gain values on the plot. G) What is the system type? Determine steady-state errors for K = 4 when the inputs are unit step and unit ramp, respectively.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these electrical engineering questions
-
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...
-
Sketch the root locus for a unity feedback system with (a) Find the gain when all three roots are real and equal. (b) Find the roots when all the roots are equal as in part (a). K(s 1)
-
A unity feedback system has a loop transfer function (a) Draw the root locus as z varies from 0 to 100. (b) Using the root locus, estimate the percent overshoot and settling time (with a 2%...
-
Calculate the heat required to raise 50 kg of solid sodium carbonate (Na2CO3) from 10C to 50C at 1atm using (a) The true heat capacity of Na2CO3, which is 1.14 kJ / (kg C). (b) A heat capacity...
-
If an is divergent and c ( 0, show that can is divergent.
-
PART B Consider advection only transport equation in one dimension: at +u-= = 0 Ox (2) (a) Write the Finite Difference Approximation (FDA) of Equation (2) using forward differences in time and upwind...
-
You are auditing the financial statements of Aardvark Wholesalers, Inc. (AW), a wholesaler with operations in 12 western states and total revenues of about $125 mil lion. You are carrying out an...
-
Graphically show the production possibilities frontier for the nation of Stromboli, using the data given in the following table. Does the principle of increasing cost hold in Stromboli? Strombolis...
-
(LO9.4,LO9.9) On 3 May 20XI, Rav Corp.purchased land for $1.65 million. The company uses the revaluation model for its land. Assume that the land is revalued annually. The fair value of the land at...
-
Your company's balance sheet has the followinYour company's balance sheet has the following items (not listed in the correct order): Item Amount Accounts receivable 1,312 Short-term debt 100 Cash 83...
-
Enticement CO currently expect sales of 50,000 a month. Variable cost of sales is $40,000 a month (all payable in the month of sale). It is estimated that if the credit period allowed to account...
-
What risks do data consolidation in an IT environment pose?
-
Explain how the audit trail differs between a manual system and a computer system.
-
The network diagram for the project to create logical e-mail groups has three paths that have a duration of 29 days and two paths that have a duration of 10 days, respectively, the longest and...
-
The team has had five meetings to decompose the work of the aircraft carrier project. They are making progress and in a few more meetings should have all the decomposition complete for the multi-year...
-
The software company is working with a staffing company to provide a technical writer for its newest project, accounting software for contractors and small businesses. The staffing company will...
-
Before you start the group work, you must ensure all team members have read module-Building Community. Compose a pledge as a team. What action(s) will you take to help create brave spaces for all...
-
What is a manufacturing system?
-
The feedback control system shown in FigureCP10.10 has the transfer function The time delay is T = 0.2 s. Plot the phase margin for the system versus the gain in the range 0.1 s K K(s 0.2) 2 Time...
-
The television beam circuit of a television is represented by the model in Figure DP2.2. Select the unknown conductance G so that the voltage v is 24 V. Each conductance is given in Siemens (S)....
-
Patients with a cardio logical illness and less than normal heart muscle strength can benefit from an assistance device. An electric ventricular assist device (EVAD) converts electric power into...
-
On January 1, 2018, Ranier, Inc., issued \(\$ 300,000\) of ten percent, 15 -year bonds for \(\$ 351,876\), yielding an effective interest rate of eight percent. Semiannual interest is payable on June...
-
The Peoples National Bank raised capital through the sale of \(\$ 100\) million face value of four percent coupon rate, ten-year bonds. The bonds paid interest semiannually and were sold at a time...
-
The financial statements for the Columbia Sportswear Company can be found in Appendix A at the end of this book. Required Answer the following questions: a. How much were Columbia's current...
Study smarter with the SolutionInn App