Frequency response computation of fractional order interval transfer functions

The paper present extensions of some results developed in the parametric robust control to fractional order interval control systems (FOICS). Computation of the Bode and Nyquist envelopes of FOICS are studied. Using the geometric structure of the value set of fractional order interval polynomials (F...

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Bibliographic Details
Published in:International journal of control, automation, and systems 2010, Automation, and Systems, 8(5), , pp.1009-1017
Main Authors: Yeroğlu, Celaleddin, Mine Özyetkin, M., Tan, Nusret
Format: Article
Language:English
Subjects:
Computation
Control
Control systems
Control theory
Design engineering
Engineering
Envelopes
Interval polynomials
Intervals
Mathematical analysis
Mechatronics
Polynomials
Regular Papers
Robotics
Robust control
Studies
Transfer functions
Uncertainty
제어계측공학
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Summary:The paper present extensions of some results developed in the parametric robust control to fractional order interval control systems (FOICS). Computation of the Bode and Nyquist envelopes of FOICS are studied. Using the geometric structure of the value set of fractional order interval polynomials (FOIP), a technique is proposed for computing the Bode and Nyquist envelopes of transfer functions whose numerator and denominator polynomials are fractional order polynomials with interval uncertainty structure. The results obtained are useful for the analysis and design of FOICS. Numerical examples are included to illustrate the benefit of the method presented.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-010-0510-3