Discrete-time systems and Z -transform

Discrete-time systems and Z -transform

For access to this article, please select a purchase option:

Buy chapter PDF
(plus tax if applicable)
Buy Knowledge Pack
10 chapters for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
Solved Problems in Dynamical Systems and Control — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

This chapter introduces the main theory and tools necessary to deal with computer-controlled systems, namely the L-transform, discrete-time models, controllability and observability conditions, and stability criteria. Most concepts presented for continuous-time systems can be adapted to the discrete-time case.

Chapter Contents:

  • 9.1 Fundamentals
  • 9.1.1 List of symbols
  • 9.1.2 Discrete-time systems preliminaries
  • 9.1.3 The Z-transform
  • 9.1.4 Discrete-time models
  • Discretization of state-space models
  • Discretization of transfer functions
  • Poles and zeros of sampled transfer functions
  • State-space representation of difference equations
  • 9.1.5 Controllability and observability
  • 9.1.6 Stability and the Routh-Hurwitz criterion
  • 9.2 Solved problems
  • 9.3 Proposed problems
  • 9.4 Discrete-time systems and Z-transform analysis using computer packages
  • 9.4.1 MATLAB
  • 9.4.2 SCILAB
  • 9.4.3 OCTAVE

Inspec keywords: discrete time systems; transforms; stability; continuous time systems; controllability; control system synthesis; observability

Other keywords: controllability condition; computer-controlled systems; L-transform; observability condition; stability criteria; discrete-time systems; continuous-time system; discrete-time model

Subjects: Stability in control theory; Control system analysis and synthesis methods; Integral transforms; Discrete control systems

Preview this chapter:
Zoom in

Discrete-time systems and Z -transform, Page 1 of 2

| /docserver/preview/fulltext/books/ce/pbce107e/PBCE107E_ch9-1.gif /docserver/preview/fulltext/books/ce/pbce107e/PBCE107E_ch9-2.gif

Related content

This is a required field
Please enter a valid email address