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- Title
On τ-decomposition frequency-sweeping strategy to rational-order fractional systems with commensurate delays.
- Authors
Huaguang Zhang; Tiaoyang Cai; Yingchun Wang
- Abstract
This study presents an effective analysis procedure to give the bounded input bounded output stability intervals of time delay for a class of commensurate delayed fractional-order systems with rational order. First, it is proposed that the analysis on multi-valued characteristic function of delayed fractional-order systems can be conducted equivalent on the consideration of the principal branch. The statement makes the generalisation of the t-decomposition method in integer order case possible. With the convenience in studying delayed systems, the frequency-sweeping method is applied logically, and the PIRs and the cross-direction around them can be determined through the frequency-sweeping curves simultaneously. Moreover, the verification of the neutral stability condition of fractional-order delayed systems is considered in a systematic manner. At last, some examples show that the proposed strategy is practically useful in the analysis and design of feedback control for both integer and fractional-order systems with time delays.
- Subjects
TIME delay systems; FRACTIONAL integrals; FEEDBACK control systems; FREQUENCY stability; INTEGERS
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2015, Vol 9, Issue 5, p723
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2014.0852