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Technical Briefs

Computation of Stability Margins for Uncertain Linear Fractional-Order Systems

[+] Author and Article Information
P. S. V. Nataraj

Systems and Control Engineering Group, IIT Bombay, Mumbai 400076, Indianataraj@sc.iitb.ac.in

Rambabu Kalla1

Systems and Control Engineering Group, IIT Bombay, Mumbai 400076, Indiaram@sc.iitb.ac.in

1

Corresponding author.

J. Dyn. Sys., Meas., Control 132(1), 014502 (Dec 03, 2009) (6 pages) doi:10.1115/1.4000073 History: Received December 08, 2008; Revised July 31, 2009; Published December 03, 2009; Online December 03, 2009

The present paper proposes an algorithm for finding the stability margins and cross over frequencies for an uncertain fractional-order system using the interval constraint propagation technique. It is first shown that the problem of finding the stability margins and crossover frequencies can be formulated as an interval constraint satisfaction problem and then solved using the branch and prune algorithm. The algorithm guarantees that the stability margins and the crossover frequencies are computed to the prescribed accuracy. The proposed algorithm is demonstrated on a noninductive cable system and also on a practical application of a gas turbine plant.

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References

Figures

Grahic Jump Location
Figure 1

Bode plots for the noninductive cable system in Example 1. From these plots, the margins and crossover frequencies are extracted to verify the results of the proposed algorithm.

Grahic Jump Location
Figure 2

Bode plots for the uncertain fractional-order gas turbine plant in Example 2. From these plots, the results of the proposed algorithm can be verified.

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