Sα-Connectivity For Fractional Difference Caputo’s Type Systems

Resumen: The aim of this work is to give a method to connect a set of polynomials having all of their roots inside the stability zone for fractional difference systems with the fractional discrete operator of Caputo. Due to the complexity of the stability zone, it is necessary to use its explicit description to build a polynomial family with zeros belonging the described zone. Such a construction of the polynomial family will be based on the connection of their zeros. Moreover, the applicability is shown with the design of a robust stabilizing controller, which is illustrated by stabilizing the fractional discrete Duffing’s oscillator.

¿Cómo citar?

Blanca Leticia Hernández-Galván, Jorge Antonio López Rentería, Nohe R. Cazarez-Castro & Guillermo Fernandez-Anaya. Sα-Connectivity For Fractional Difference Caputo’s Type Systems. Memorias del Congreso Nacional de Control Automático, pp. 1-6, 2020.

Palabras clave

Fractional Systems, Systems with time delays, Linear systems, Robust control (linear case), Polynomial methods, Linear parameter-varying systems, Robust time-delay systems

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