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(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.
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.
The closed-loop transfer function of the above system is calculated as follows:
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.
Random Sampling Method In this method the units are selected in such a way that every item in the whole universe has an equal chance of being included. In the words of croxton
The file Midterm Data.xls has a tab labeled "Many vs. S&P" which presents historical price data for several assets, a volatility condition (VIDX = 1 if the NYSE volatility is grea
(1) Assume we categorize voters in a city as havingless educationand those havingmoreeducation. Those with less education have less than a college degree; those with more education
The Truly Canadian Restaurant stocks a private red table wine that it purchases from a local winery in the Niagara Falls region. The daily demand for the wine at the restaurant is
The PCA is amongst the oldest of the multivariate statistical methods of data reduction. It is a technique for simplifying a dataset, by reducing multidimensional datasets to lower
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what the purpose we use it
The file Midterm Data.xls has a tab labeled "National Grid vs. Alcoa" which presents historical price data for two stocks. Using the National Grid price as the X-value and the Al
In the case of permanent magnet DC motor whose stator consists of a permanent magnet we can take the field current to be constant (i.e. a constant magnetic field) and it can be sho
Hi There, I have a question regarding R, and I am wondering if anyone can help me. Here is a code that I would like to understand: squareFunc g f(x)^2 } return(g) } sin
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