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Control Engineering: An Introductory Course - download pdf or read online

By Jacqueline Wilkie

ISBN-10: 033377129X

ISBN-13: 9780333771297

ISBN-10: 1403914575

ISBN-13: 9781403914576

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 no being over-burdened with detail.
The authors paintings in a single of the major centres in Europe for keep watch over Engineering, and convey either educating and sensible consultancy event to the textual content, which hyperlinks theoretical techniques to genuine case histories. together with an advent to the software program instruments of MATLAB and SIMULINK, this e-book additionally comprises simulations and examples all through, and may supply an easy and no-nonsense creation to regulate Engineering for college students, and people wishing to refresh their wisdom.

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Extra resources for Control Engineering: An Introductory Course

Example text

The concept turns on whether the output of a real system depends on future input values. To put this formally in a real practical system, does the output y(t) at time t depend on future values of the system input, u(tfuture), where tfuture > t as well as the past system input, u(tpast), where tpast ≤ t? For example, does an RC circuit have an output 44 Tools for the control engineer voltage which depends on input voltages which have not yet been applied to the circuit? The answer is no, because the system is causal or physically realisable, in which case the output y(t) depends only on the past system input, u(tpast), where tpast ≤ t.

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. The tap is the same but the areas are very different, and so is the time it takes to fill them. So we see that all this abstract analysis is firmly linked to the real world. 3. We categorise the different types of physical system behaviour using the type of transfer function that we obtain for our physical process.

Q Why is a differentiator like multiplying by s? We can find the Laplace transform of the derivative of a signal x(t) by using the relationship: Ïd ¸ L Ì x (t)˝ = sX (s) - x (0) Ó dt ˛ where x(0) is the initial value of x(t), evaluated at t = 0. We can prove this relationship using integration by parts as follows: • dx - st Ïd ¸ L Ì x (t)˝ = Ú e dt 0 dt dt Ó ˛ Let u = e–st and dv = dx/dt; then du = –se–st and v = x(t). 6 Operational equivalence between time domain differentiation and multiplication by the Laplace variable s.

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Control Engineering: An Introductory Course by Jacqueline Wilkie


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