Question: Consider the sampled data system with the loop transfer function (a) Plot the root locus using the rlocus function. (b) From the root locus, determine

Consider the sampled data system with the loop transfer functionz + 3z + 4 z -0.1z - 2 G(z)D(z) = K-

(a) Plot the root locus using the rlocus function.
(b) From the root locus, determine the range of K for stability.

z + 3z + 4 z -0.1z - 2 G(z)D(z) = K-

Step by Step Solution

★★★★★

3.36 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b The root locus is shown in Figure CP136 We determine the range of K for stability i... View full answer

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 Modern Control Systems Questions!

Q:

Consider the sampled data system with the loop transfer function (a) Plot the root locus using the r locus function. (b) From the root locus, determine the range of K for stability. Use the rlocfind...

Q:

Consider a system with a loop transfer function We wish to obtain a resonant peak MpÏ) = 3.0 dB for the closed-loop system. The peak occurs between 6 and 9 rad/s and is only 1.25 dB. Plot the...

Q:

Consider a unity feedback system with a loop transfer function (a) Find the breakaway points on the real axis. (b) Find the asymptote centroid. (c) Find the values of K at the breakaway points. 2s10...

Q:

Root - Locus Automatic control of helicopters is necessary because, unlike fixed - wing aircraft which possess a fair degree of inherent stability, the helicopter is quite unstable. A helicopter...

Q:

A unity feedback system has the loop transfer function: G c ( s ) G ( s ) = K s ( s + 2 ) ( s + 5 ) Find ( a ) the breakaway point on the real axis and the gain K for this point; ( b ) the grain and...

Q:

The closed loop transfer function of a single - loop negative feedback system is: G c ( s ) G ( s ) = K ( s + 2 ) ( s + 3 ) s 2 ( s + 1 ) ( s + 1 0 ) ( s + 5 0 ) This system is called conditionally...

Q:

Yego Domestic: a bond is issued in the US Global: a bond is issued in the US and foreign markets Eurobonds: a bond denominated in USD is issued in the foreign market. You need to estimate the...

Q:

D O NO T Ta KE IF YOU CANNOT ANSWEAR ALL THE QUESTION AS SUPPOSED OR I WILL RATE UNHELPFUL AND REPORT FOR PLAG Peru Domestic: a bond is issued in the US Global: a bond is issued in the US and foreign...

Q:

(2) Write your own Matlab function to compute and plot a root locus. Use this function to verify your hand sketches above (turn these plots in as well using roughly the same real and imaginary...

Q:

rg = 3 / / b 1 = 0 . 6 5 / / b 2 = 0 . 3 7 1 / / J = 0 . 7 / / R = 2 6 0 / / M = 4 0 / / Ja = 0 . 3 5 / / Da = 0 . 1 8 5 / / K 1 = 1 3 / / K 2 = 8 . 6 6 ( ( I just want to solveMATLAB, nothing else )...

Q:

The comparative balance sheets for Royce Company as of December 31 are presented below ROYCE COMPANY COMPARATIVE BALANCE SHEETS December 31 2021 Assets Cash 2020 $ 45,000 $ 81,000 Accounts Receivable...

Q:

All work with methodology and equations used must be shown in detail. The actual equations andcareful explanations are required to receive credit for answers, even if correct: The following data have...

Q:

E1-13A Identify users of accounting information (Learning Objective 3) For each of the following users of financial accounting information and managerial accounting information, specify whether the...

Q:

6. The normal distribution curve is symmetric around which point of the distribution? 1. mean 2. median 3. mode 4. all of the above

Q:

Consider the block diagram in Figure P3.21. (a) Verify that the transfer function is (b) Show that a state variable model is given by G(s) = Y(s, h,sta + ais + a 0 ao a y=[1 LE 0]x. Co FIGURE P3.21...

Q:

Determine a state variable model for the circuit shown in Figure P3.22. The state variables are x1 = i, x2 = v1, and x3 = v2. The output variable is v0(t). 12 Output FIGURE P3.22 RLC circuit.

Q:

The two-tank system shown in Figure P3.23(a) is controlled by a motor adjusting the input valve and ultimately varying the output flow rate. The system has the transfer function for the block diagram...

Q:

Wingler Communications Corporation (WCC) produces airpods that sell for $29.00 per set, and this year's sales are expected to be 460,000 units. Variable production costs for the expected sales under...

Q:

26 Falcon bought a car cost price BD12000, insurance BD550, Salvage Value BD1100, it will be kept for five years. Calculate the depreciation expenses for the first year only by using Double declining...

Q:

You've recorded the following prices and dividend payments for a stock: art 1 What was the rate of return in month 2 ? What was the rate of return in month 3 ? Part 3 What was the rate of return in...