By William S. Levine
At ebook, The keep an eye on instruction manual instantly turned the definitive source that engineers operating with glossy regulate platforms required. between its many accolades, that first variation was once pointed out by means of the AAP because the top Engineering instruction manual of 1996. Now, 15 years later, William Levine has once more compiled the main accomplished and authoritative source on regulate engineering. He has totally reorganized the textual content to mirror the technical advances completed because the final variation and has multiplied its contents to incorporate the multidisciplinary viewpoint that's making regulate engineering a severe part in such a lot of fields. Now multiplied from one to 3 volumes, The keep an eye on guide, moment version brilliantly organizes state of the art contributions from greater than two hundred major specialists representing each nook of the globe. the 1st quantity, keep watch over procedure basics, bargains an summary for these new to the sphere yet is usually of serious price to these throughout any variety of fields whose paintings is reliant on yet now not completely devoted to keep watch over structures. masking mathematical basics, defining rules, and uncomplicated process methods, this quantity — info crucial history, together with transforms and complicated variables comprises mathematical and graphical versions used for dynamical platforms Covers research and layout tools and balance checking out for continuous-time platforms Delves into electronic regulate and discrete-time structures, together with real-time software program for enforcing suggestions regulate and programmable controllers Analyzes layout equipment for nonlinear platforms As with the 1st variation, the hot version not just stands as a checklist of achievement up to speed engineering yet offers researchers with the capability to make additional advances. steadily geared up, the opposite volumes within the set contain: keep an eye on procedure functions keep an eye on approach complex equipment
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Additional info for The Control Handbook, Second Edition: Control System Fundamentals, Second Edition (Electrical Engineering Handbook)
3. 1 exists for all real values of ω. Sufficient conditions that ensure the existence of the integral are that f (t) have only a finite number of discontinuities, maxima, and minima over any finite interval of time and that f (t) be absolutely integrable. 1 does not exist; for example, this is the case for the constant function f (t) = c for −∞ < t < ∞, where c is a nonzero real number. 8) where δ(ω) is the impulse function. 11, the result is the constant function f (t) = c for all t. 8 as the definition of the (generalized) FT of the constant function.
2 Introduction ........................................................ 2-1 Fundamentals of the Fourier, Laplace, and z-Transforms....................................................... 3 Applications and Examples.............................. 2-15 Spectrum of a Signal Having a Rational Laplace Transform • Numerical Computation of the FT • Solution of Differential Equations • Solution of Difference Equations • Defining Terms Edward W. Kamen Georgia Institute of Technology References ....................................................................
Note that since |ejΩ | = 1 for any value of Ω and ∠ejΩ = Ω, the set of complex numbers z = ejΩ comprises the unit circle of the complex plane. 6 Properties of the (One-Sided) z-Transform Property Linearity Right shift of f (k)u(k) Transform/Property Z[af (k) + bg(k)] = aF(z) + bG(z) for any scalars a, b Z[f (k − q)u(k − q)] = z −q F(z) for any integer q ≥ 1 Right shift of f (k) Z[f (k − 1)] = z −1 F(z) + f (−1) Z[f (k − 2)] = z −2 F(z) + f (−2) + z −1 f (−1) .. Z[f (k − q)] = z −q F(z) + f (−q) + z −1 f (−q + 1) + · · · + z −q+1 f (−1) Left shift in time Z[f (k + 1)] = zF(z) − f (0)z Z[f (k + 2)] = z 2 F(z) − f (0)z 2 − f (1)z ..
The Control Handbook, Second Edition: Control System Fundamentals, Second Edition (Electrical Engineering Handbook) by William S. Levine