Continuous-time fractional linear systems: Transient responses

• Type: Chapter or Part of a Book
• Date: 2019

Authors

Manuel Ortigueira (Author) Other; Duarte Valério (Author) Other; António Mendes Lopes (Author) FEUP

Book

Title: Applications in Control

Pages: 119-148

ISBN: 9783110571745; 9783110570908

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-00T-658

DOI: 10.1515/9783110571745-006

Abstract (EN): This chapter presents an introduction to fractional continuous-time linear systems, based on suitable fractional derivatives. The usual tools, impulse response, transfer function, and frequency responses are defined, and the manner of their computation is given, considering both commensurate and noncommensurate cases. Properties of the systems, like causality, periodicity, and stability are also studied. The formulation in the commensurate case is done in a full agreement with classic results that are recovered when the derivative order becomes equal to 1. Multiple-input, multiple-output systems are also studied from the state-space point of view. © 2019 Walter de Gruyter GmbH, Berlin/Boston.

Language: English

Type (Professor's evaluation): Scientific