Calculate the damping ratio for each system, Applied Statistics

Assignment Help:

(i) Plot the step responses of the following second order systems and state the nature of each system. For each case, find the poles and plot the location of the poles in the complex plane by hand. Draw a general conclusion about the position of the system poles and the nature of system response. Calculate the damping ratio for each system.

1026_Calculate the damping ratio for each system.png

An unstable system is highly undesirable in control engineering. What we want is that the system could behave smoothly and have its output follow (track) our desired (reference) input. For this purpose, we use "feedback control". Let us feed the output of the system G(s) back to the input position and compare it with our desired (reference) input to construct the following closed-loop system.

1922_Calculate the damping ratio for each system1.png

The closed-loop transfer function of the above system is calculated as  follows:

249_Calculate the damping ratio for each system2.png

The nature of this system will now depend on the value of constant gain controller K.

(ii) Let K be 0.5, 1.0, 1.5 and 15 respectively and plot the corresponding step responses. From your plots determine the steady error for the two cases of K=1.5 and K=15. Compare them to see what conclusion you can draw.


Related Discussions:- Calculate the damping ratio for each system

Index Number of formulae, discuss the mathematical test of adequacy of inde...

discuss the mathematical test of adequacy of index number of formulae. prove algebraically that the laspeyre, paasche and fisher price index formulae satisfies this test. What is

Professional Counselor, A researcher hypothesized that the pulse rates of ...

A researcher hypothesized that the pulse rates of long-distance athletes differ from those of other athletes. He believed that the runners’ pulses would be slower. He obtained a ra

Write out the estimator of the linear combination, Now, let's look at a dif...

Now, let's look at a different linear combination. Suppose we are interested n comparing the average mean log income for no college education ( 16). 1. Write out the linear com

Find a nash equilibrium, 2 bidders have identical valuations of an object f...

2 bidders have identical valuations of an object for sale. The value of the object is either 0; 50 or 100, with equal probabilities. The object is allocated to one of the bidders i

#vital statistics, # I have to make assignment on vital statistics so kindl...

# I have to make assignment on vital statistics so kindly guide me how to make and get good marks

Predict higpa using a logistic regression, In this problem, we use the CSDA...

In this problem, we use the CSDATA data set, which is available in 'CSDATA.txt'. We do ne an indicator variable, say HIGPA, to be 1 if the GPA is 3.0 or better and 0 other- wise. S

Construct a cumulative percentage polygon, 1. For each of the following var...

1. For each of the following variables: major, graduate GPA, and height: a. Determine whether the variable is categorical or numerical. b. If the variable is numerical, deter

Type of variable in regression analysis, Type of Variable in Regression Ana...

Type of Variable in Regression Analysis There are two types of variable in regression analysis. These are: a.      Dependent variable b.      Independent variable

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd