PID controller design for fractional-order systems with time delays

Classical proper PID controllers are designed for linear time invariant plants whose transfer functions are rational functions of s α , where 0 < α < 1 , and s is the Laplace transform variable. Effect of input–output time delay on the range of allowable controller parameters is investigated....

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Bibliographic Details
Published in:Systems & control letters 2012-01, Vol.61 (1), p.18-23
Main Authors: Özbay, Hitay, Bonnet, Catherine, Fioravanti, André Ricardo
Format: Article
Language:English
Subjects:
Applied sciences
Automatic
Automatic Control Engineering
Computer Science
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
Controller synthesis
Design engineering
Engineering Sciences
Exact sciences and technology
Fractional order systems
Gain
Invariants
Laplace transforms
Mathematical analysis
PID controller
Proportional integral derivative
Stability analysis
System theory
Time delay
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Summary:Classical proper PID controllers are designed for linear time invariant plants whose transfer functions are rational functions of s α , where 0 < α < 1 , and s is the Laplace transform variable. Effect of input–output time delay on the range of allowable controller parameters is investigated. The allowable PID controller parameters are determined from a small gain type of argument used earlier for finite dimensional plants.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2011.09.011