By Jacqueline Wilkie
Control Engineering "An Introductory Course" is geared toward moment or 3rd yr classes in electric and Mechanical Engineering, and gives for the wishes of those classes with out being over-burdened with detail.
The authors paintings in a single of the major centres in Europe for regulate Engineering, and produce either instructing and functional consultancy adventure to the textual content, which hyperlinks theoretical techniques to real case histories. together with an creation to the software program instruments of MATLAB and SIMULINK, this ebook additionally comprises simulations and examples all through, and may provide an easy and no-nonsense advent to manage Engineering for college kids, and people wishing to refresh their wisdom.
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Additional info for Control Engineering: An Introductory Course
In the example above the input was the inflow variable, qi(t) and the chosen system output was the liquid height, h(t). 2. The system transfer function, GT(s), is dependent on the system physical parameters, in this case KT = 1/A. This parameter KT tells us something about the tank filling process. If the cross-sectional area A is large the tank will be slow to fill, while if the value of A is small, then the tank will fill at a much faster pace. Think about the difference in filling a bath and a swimming pool.
This is very convenient, since we are very good at analysing linear systems, and this is why we concentrate on having a good background in control engineering theory for linear systems. The linear system assumption or hypothesis is fundamental to many of the properties used in this book (for example the next question is on the superposition property and in turn this needs a linear system assumption), so read on. Q I want to know what the superposition property is. Is it useful? The superposition principle asks a very simple question about the output of a system to a sum of inputs.
Problem A signal, x(t), is described by the transform X (s) = b U (s) s+a where a > 0 and U(s) is the transform of input signal, u(t). Find the infinite-time value of x(t) when the signal u(t) is a unit step. Solution For a unit step U (s ) = 1 s Replace this in the relationship for X(s); hence: X (s ) = b (s + a )s The signal transform X(s) has a single pole at the origin and a pole at s = –a < 0 hence we may apply the Final Value Theorem: sb b = a sÆ 0 (s + a)s xss = lim x (t) = lim sX (s) = lim sÆ 0 t Æ• Q How do I use the Initial Value Theorem?