Robust stability bounds of uncertain fractional-order systems
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This paper considers the robust stability bound problem of uncertain fractional-order systems. The system considered is subject either to a two-norm bounded uncertainty or to a infinity-norm bounded uncertainty. The robust stability bounds on the uncertainties are derived. The fact that these bounds are not exceeded guarantees that the asymptotical stability of the uncertain fractional-order systems is preserved when the nominal fractional-order systems are already asymptotically stable. Simulation examples are given to demonstrate the effectiveness of the proposed theoretical results.
Key Words and Phrasesfractional-order system linear matrix inequality robust stability bound uncertainty
MSC 2010Primary 26A33 Secondary 34A08, 34D10, 93C73, 93D09, 93D21
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