Root Locus Practical Sketching Rules for Fractional-Order Systems

• Type: Article in International Scientific Journal
• Date: 2013

Authors

lopes, am (Author) FEUP; machado, jat (Author) Other

Journal

Title: Abstract and Applied Analysis

Vol. 2013

Pages: 1-14

ISSN: 1085-3375

Publisher: Hindawi

Indexing

ISI Web of Knowledge - 8 Citations

Scopus - 11 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-006-G7N

DOI: 10.1155/2013/102068

Abstract (EN): For integer-order systems, there are well-known practical rules for RL sketching. Nevertheless, these rules cannot be directly applied to fractional-order (FO) systems. Besides, the existing literature on this topic is scarce and exclusively focused on commensurate systems, usually expressed as the ratio of two noninteger polynomials. The practical rules derived for those do not apply to other symbolic expressions, namely, to transfer functions expressed as the ratio of FO zeros and poles. However, this is an important case as it is an extension of the classical integer-order problem usually addressed by control engineers. Extending the RL practical sketching rules to such FO systems will contribute to decrease the lack of intuition about the corresponding system dynamics. This paper generalises several RL practical sketching rules to transfer functions specified as the ratio of FO zeros and poles. The subject is presented in a didactic perspective, being the rules applied to several examples.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14