z-Transformation: Further Topics

Urs Graf ()
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Urs Graf: Berne University of Applied Sciences, Biel School of Engineering and Architecture

Chapter Chapter 7 in Applied Laplace Transforms and z-Transforms for Scientists and Engineers, 2004, pp 287-319 from Springer

Abstract: Abstract The z-transform of a sequence f(kT) was introduced in Chapter 2. It is a function of the complex variable z and is defined by The domain of F(z) is the exterior of some circle centered at the origin. In the applications to control problems, the values f(kT) are the sampled-data values of a time function f(t), sampled with the sampling period T > 0. Instead of sampling a time function at the discrete times 0, T, 2T, etc., we may sample at the instants τ, τ + T, τ + 2T, …, where we consider τ as a fixed parameter restricted to 0 ≤ τ

Keywords: Meromorphic Function; Operational Rule; Integration Rule; Digital Controller; Composition Theorem (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-0348-7846-3_7

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