Control Engineering: An Introductory Course by Jacqueline Wilkie

By Jacqueline Wilkie

Control Engineering "An Introductory Course" is aimed toward moment or 3rd yr classes in electric and Mechanical Engineering, and gives for the desires of those classes with no being over-burdened with detail.
The authors paintings in a single of the most important centres in Europe for regulate Engineering, and produce either educating and useful consultancy event to the textual content, which hyperlinks theoretical methods to genuine case histories. together with an advent to the software program instruments of MATLAB and SIMULINK, this publication additionally contains simulations and examples all through, and should supply an easy and no-nonsense advent to regulate Engineering for college kids, and people wishing to refresh their wisdom.

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Extra resources for Control Engineering: An Introductory Course

Example text

A1s + a0 with the degree of den(s) given by the integer n. Parameter n is also called the order of the transform, X(s). Transform poles The Laplace transform poles are the values of s for which the transform is infinite. The poles are found by setting the denominator polynomial to 0 and solving the resulting equation. den(s) = ans n + an-1s n-1 + ... + a1s + a0 = 0 Example G(s ) = s +6 s2 + 4s + 3 We write this in the form: G(s ) = s +6 num(s ) = den(s ) s2 + 4s + 3 and identify the following: Numerator polynomial: num(s) = s + 6, with the degree of num(s) given by m = 1.

If we assume that the tank was empty at time t = 0 then h(0) = 0 and the Laplace equation can be simplified to: ÊK ˆ H ( s ) = Á T ˜ Q i( s ) Ë s ¯ and we write this as a physical system transfer function relation, namely: H(s) = GT(s)Qi(s) where the tank’s transfer function, GT(s), is given by ÊK ˆ GT ( s ) = Á T ˜ Ë s ¯ Remarks 1. The transfer function GT(s) is a relation from the system input to a system output. In the example above the input was the inflow variable, qi(t) and the chosen system output was the liquid height, h(t).

In the wider picture, our ability to measure and then control temperature, velocity and energy use leads directly to the urban, industrial and transport infrastructure on which our society depends. In the lifestyle of today, we rely heavily on technology and its applications. Control engineers are needed to analyse these technological systems and provide the crucial control systems without which modern society would simply not be possible. This book is a first stage control book that brings together all the key elements in an easy manner to be able to analyse and design effective controllers for simple systems.

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