Robust Mittag-Leffler stabilisation of fractional-order systems

abstract

• AbstractDynamic models approximate physical phenomena to certain extent and ideal controllers are proposed. Nevertheless, when system specifications crave for better performance, additional robust controllers are considered. In this sense, a robust controller is proposed in this paper, which accounts for a general class of fractionalorder systems, in order to compensate for matched and mismatched disturbances. The MittagLeffler stability of the solution of the closedloop system is demonstrated for a class of fractionalorder systems subject to nonsmooth effects and control feedback. Numerical simulations are conducted to highlight the reliability of the proposed scheme.

authors

• Munoz Vazquez, Aldo Jonathan

published proceedings

• ASIAN JOURNAL OF CONTROL

author list (cited authors)

• Jonathan Munoz-Vazquez, A., Parra-Vega, V., Sanchez-Orta, A., & Martinez-Reyes, F.

complete list of authors

• Jonathan Munoz-Vazquez, Aldo||Parra-Vega, Vicente||Sanchez-Orta, Anand||Martinez-Reyes, Fernando

publisher

• Wiley  Publisher

published in

• Asian Journal of Control  Journal

keywords

• Disturbance Rejection
• Fractional-order Systems
• Mittag-leffler Stability
• Robust Nonlinear Control

Digital Object Identifier (DOI)

• 10.1002/asjc.2195

start page

• 2273

end page

• 2281

volume

• 22

issue

• 6