On robust stability of linear time invariant fractional-order systems with real parametric uncertainties |
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Authors: | Kamran Akbari Moornani Mohammad Haeri |
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Affiliation: | aAdvanced Control System Lab, Electrical Engineering Department, Sharif University of Technology, Tehran, Iran |
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Abstract: | In this paper, the robust bounded-input bounded-output stability of a large class of linear time invariant fractional order families of systems with real parametric uncertainties is analyzed. The transfer functions contain polynomials in fractional powers of the Laplace variable s, possibly in combination with exponentials of fractional powers of s. Using the concept of the value set and a generalization of the zero exclusion condition theorem, a theorem to check the robust bounded-input bounded-output stability of these families of systems is presented. An upper cutoff frequency for drawing the value sets is provided as well. Finally, two numerical examples are given to illustrate results obtained by the lemma and theorems presented in the paper. |
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Keywords: | Fractional order systems Linear time invariant systems Robust bounded-input bounded-output stability Real parametric uncertainties |
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