Péter Gáspár, Zoltán Szabó, József Bokor

Discrete Feedback Systems 1.

Classical Control


A basic functional calculus

Considering signal spaces the Fourier transform F:l2l2(T), where for convenience we use the notation l2(T)=L2(T). defines a natural isometrical isomorphism given by F(ek)=zk, where z=eit. Similarly, one can define the λ–transform by identifying l2+ with the space on analytic function H2(D) and the (unilateral) Z–transform relating l2- to H2(Dc). Note, that the choice for the actual pairing is a matter of convention. We prefer to work with impulse responses, as reprezentants of LTI systems, thus, the so called (unilateral) Z-transform will be defined as a map from l2+ to H2(Dc). Recall, that H2(Dc)=H2,(D)~l2(T)θl2+(T). Observe that for |z|<1

Discrete Feedback Systems 1.

Tartalomjegyzék


Kiadó: Akadémiai Kiadó

Online megjelenés éve: 2019

ISBN: 978 963 454 372 5

The aim of the book is to provide a well-rounded exposure to analysis, control and simulation of discrete-time systems. Theoretical techniques for studying discrete-time linear systems with particular emphasis on the properties and design of sampled data feedback control systems are introduced. This book is intended to be used as a textbook in our MSc and PhD courses. We have tried to balance the broadness and the depth of the material covered in the book. The interested reader is also sent to consult the publications of the references list.

Hivatkozás: https://mersz.hu/gaspar-szabo-bokor-discrete-feedback-systems-1//

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