Question: Problem 1. Considering the root-locus given, which is plotted for a unity feedback system for K > 0, (a) Obtain the open-loop transfer function.

Problem 1. Considering the root-locus given, which is plotted for a unity

Problem 1. Considering the root-locus given, which is plotted for a unity feedback system for K > 0, (a) Obtain the open-loop transfer function. (10 pts) (b) Obtain the closed-loop transfer function. (5 pts) (c) Find the value of gain and closed-loop poles at the imaginary axis crossings. (10 pts) jo (d) Write the range of K for which the closed loop s-plane system is stable. (5 pts) (e) Write the value of gain that makes the system marginally stable. (5 pts) jl (f) What would be the period of oscillation in seconds when the system is marginally stable? (5 pts) -7 X -jl (g) What would be the settling time, peak time and percent overshoot at the gain of K = 15? (15 pts) Method: For K = 15, the closed-loop poles appear at 7.36, -0.82 + j1.81. Show if the 2d order approximation is valid. Then use the formula given at the footer. (h) Calculate the steady-state error when the input is r(t) = 0.62u(t) at the same gain (K = 15). (15 pts)

Step by Step Solution

★★★★★

3.37 Rating (150 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 Electrical Engineering Questions!

A unity feedback system has a loop transfer function (a) Sketch the root locus for K > 0. (b) Find the roots when K = 10 and 20. (c) Compute the rise time, percent overshoot, and settling time (with...

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%...

A unity feedback system has a loop transfer function (a) Sketch the root locus and determine K for a stable system with complex roots with Î¶ equal to l/2. (b) Determine the root...

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...

I need someone help me understand and solve this problem. Table A is in photo no. 2 - Choose your parameters from Table A at the end of the assignment. - You should provide valid assumptions for all...

Write 2 paragraphs about Macro risks and the term structure of interest rates article. No max word count, page count, or formatting requirements but has to be submit to my tutor's work as my own....

Appendix G: (Not required information but I put it here incase it might help) b. Build a Simulink program based on the transfer function in Eq. (2-8) with R= 10k12 and C = 10uF. to conduct...

i need to solve this 4 sections using matlab thank you 1 Introduction 1.1 Plant Transfer Function The transfer function of the pitch angle, (), of a ship to elevator deflection 6,(), is given by by...

function LAB04ex1 %NOTE: you CAN run this type of function m file as a script because it requires no inputs. Click the Green arrow above the "Run" tab t0 = 0; tf = 40; %initial and final time y0 =...

Possible Multiple Choice Questions for the Exam. Focus on the topics discussed in class. Chapter 1 Multiple Choice Identify the choice that best completes the statement or answers the question. ____...

Replace Equipment A machine with a book value of $ 2 5 1 , 5 0 0 has an estimated remaining life of 6 years. A proposal is offered to sell the old machine for $ 2 1 6 , 2 0 0 and replace it with a...

Question 11 pts Decide if any information in the following sentence is potentially libelous. Select L if it is potentially libelous and S is if the statement is safe to publish. A member of the...

Compare functions/responsibilities of Chief Information Officer (CIOs) for the routine business organizations and healthcare organizations. Determine which responsibilities of the CIO are different...

QUESTION 4 Rambo Company has three products, A, B, and C. The following information is available: Product A $68,000 39,000 29,000 Product B $95,000 49,000 46,000 Productc $22,000 15,000 7000 Sales...

1 = data.quantile([0.25,0.75]) # Complete the code to find the 25th percentile and 75th percentile. Q3 = data.quantile([0.75,0.75]) # Complete the code to find the 75th percentile and 75th...

A 1,500 square foot office space is leased at $12.00 square foot. The space is vacant one month out of the year. Office expenses are $6.50 per square foot and an expense stop is set at $6.00 per...

The balance sheet for Stud Clothiers is shown next. Sales for the year were $3,510,000, with 75 percent of sales sold on credit. STUD CLOTHIERS Balance Sheet 20X1 Assets Liabilities and Equity Cash $...

7 A 29-year-old, previously healthy man suddenly collapses at a party where legal and illicit drugs are being used. Enroute to the hospital, he requires resuscitation with defibrillation to establish...

An RLC circuit is shown in Figure P3.1. (a) Identify a suitable set of state variables. (b) Obtain the set of first-order differential equations in terms of the state variables. (c) Write the state...

Objects smaller than the wavelengths of visible light are a staple of contemporary science and technology. Biologists study single molecules of protein or DNA; materials scientists examine...

A lamp's intensity stays constant when monitored by an opto transistor-controlled feedback loop. When the voltage drops, the lamp's output also drops, and opto transistor Q1 draws less current. As a...

Airlines were severely affected by the oil price increases of 2008. Even Southwest lost money, the first time ever, during that time. Many airlines began charging for services that had previously...

One of the advances that helped to diminish carpal tunnel syndrome is ergonomic keyboards. The ergonomic keyboards may also increase typing speed. Ten administrative assistants were chosen to type on...

The following paired samples have been obtained from normally distributed populations. Construct a 90% confidence interval estimate for the mean paired difference between the two population means....