NDLI: On τ-decomposition frequency-sweeping strategy to rational-order fractional systems with commensurate delays

Content Provider	IET Digital Library
Author	Zhang, Huaguang Cai, Tiaoyang Wang, Yingchun
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 τ-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.
Starting Page	723
Ending Page	728
Page Count	6
ISSN	17518644
Volume Number	9
e-ISSN	17518652
Issue Number	Issue 5, Mar (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/9/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2014.0852
Journal	IET Control Theory & Applications
Publisher Date	2015-03-19
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Bounded Input Bounded Output Stability Intervals Commensurate Delayed Fractional-order System Control System Analysis Control System Synthesis Cross-direction Delay Delayed Fractional-order System Analysis Distributed Parameter Control System Feedback Feedback Control Analysis Feedback Control Design Fractional-order Delayed System Frequency-sweeping Curves Integer-order System Multivalued Characteristic Function Neutral Stability Condition Verification PIR Principal Branch Rational-order Fractional System Stability Stability in Control Theory Synthesis Method Time Delay Τ-decomposition Frequency-sweeping Strategy
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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