Question: Consider the control system, where The value of / is known to change slowly with time, although, for design purposes, the nominal value is chosen

Consider the control system,
where

The value of / is known to change slowly with time, although, for design purposes, the nominal value is chosen to be J = 25.
(a) Design a PID compensator (denoted by Gc(s)) to achieve a phase margin greater than 45° and a bandwidth less than 4 rad/s.
(b) Using the PID controller designed in part (a), develop an m-file script to generate a plot of the phase margin as J varies from 10 to 40. At what J is the closed-loop system unstable?

G(s) = 2

Step by Step Solution

★★★★★

3.31 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The closedloop characteristic equation is where a K P K D b ... 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

Document Format (1 attachment)

835-C-S-S-A-D (2239).docx

120 KBs Word File

Students Have Also Explored These Related Systems Analysis And Design Questions!

Before reading this chapter or beginning class, what did you expect marketing to be? Ask a family member, classmate, or coworker what they think marketing is. See whether you can persuade them that...

Consider the control system, where Develop an m-file to show that the phase margin is approximately 50 and that the percent overshoot to a unit step input is 18%. 110 G( and Gc(s)= -+10)

Consider the control system shown in Figure CP5.4. (a) Show analytically that the expected percent overshoot of the closed-loop system response to a unit step input is about 50%. (b) Develop an...

Consider the control system depicted where the plant is a "black box" for which little is known in the way of mathematical models. The only information available on the plant is the frequency...

From the attached...... a) What is the significance of the paper b) What you have learned from the paper c) Any suggestions for improvement d) Next steps IDENTIFICATION OF EFFECTIVE PROBLEM-SOLVING...

Read through and answer the following. (i) What have you leadned from the paper. (ii) Any suggestions for improvement. (iii) Next steps IDENTIFICATION OF EFFECTIVE PROBLEM-SOLVING TOOLS TO SUPPORT...

urgent, dead line on Sunday night Financial statement analysis assignment. instructions attatched with 6 other materials you should use. i willing to pay over $100 but why can't i put any money more...

Question. 1. How strong are the competitive forces confronting J. Crew in the market for specialty retail? Include a [Michael Porter] five-forces analysis to support your answer. (see chapter 3 in...

Questions: 1. How strong are the competitive forces confronting J. Crew in the market for specialty retail? [Michael Porter] five-forces analysis to support your answer. (see chapter 3 in the textfor...

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, , of 48F, ideal for a certain type of German pilsner. The owner...

Which internal control(s) would you recommend to prevent the following situations from occurring? While entering the details about a large credit sale, a clerk mistakenly typed in a nonexistent...

5. Write the Private statement to declare an Integer array named intOrders that has three rows and two columns. Use the following values to initialize the array: 1, 2, 10, 20, 100, 200.

Please note that Exercise 3 requires that you create 2 programs: my_password_module . use_my_password_module my_password_module is a container for password vandation functions that will be used by...

Bam Bam International, inc. (or BBI) is a corporation with three equal shareholders (each shareholder has a basis in the shares of $25,000). BBIs revenues from its first year of operations for the...

Fill in the cells in column B with groups in terms of the value in column A in tab Q2, and the range of each group lies in the table on the right side. For example, if the value is 5.5, the group...

a loan must be repaid in 5 years and a 36% annual financing interest payable monthly. if the installments are monthly and equal within each year, but, year after year, they decrease by 2%, find the...

Tongaat Trucking bought a delivery vehicle three years ago for R400,000 The annual wear and tear allowance for this class of asset is 20 per year As the business has expanded, this vehicle is...

23 Assume the same information as in Problem 1 and assume the bond sold at 96. However, lets change the interest rate to 12% semiannually. (a) Prepare journal entries for 19A. (b) Show a partial...

Sketch the differential Manchester encoding for the bit stream of the previous problem. Assume the line is initially in the low state.

A 1-km-long, 10-Mbps CSMA/CD LAN (not 802.3) has a propagation speed of 200 m/sec. Repeaters are not allowed in this system. Data frames are 256 bits long, including 32 bits of header, checksum, and...

Two CSMA/CD stations are each trying to transmit long (multi frame) files. After each frame is sent, they contend for the channel, using the binary exponential back off algorithm. What is the...

Does inflation have anything to do with making a dollar today worth more than a dollar tomorrow? And discuss how you could avoid inflation in relation to the time value of money? Answer 7 A, BI

How much would you need to invest to get a return of $1.00 from an investment with a price per share of $36 with earnings per share of $1.80? Answer $1.00 $1.80 $20 $35.20 $180.00 Buying shares of...

HOTEL RETURN WEIGHT (proporation of portfolio) RISK (standard deviaiton fo return) Hotel X 10% 75% 3% Hotel Y 20% 25% 9% 1. Given that the standard deviation of returns on the market is 10 percent,...