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RISStabilization of a Fractional-Order Nonlinear Brushless Direct Current Motor
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper describes the stabilization of a fractional-order nonlinear brushless DC motor (BLDCM) with the Caputo derivative. Based on the Laplace transform, a Mittag-Leffler function, Jordan decomposition, and Grönwall's ...
Stability and Stabilization of a Class of Fractional-Order Nonlinear Systems for 1 < α < 2
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This study is interested in the stability and stabilization of a class of fractional-order nonlinear systems with Caputo derivatives. Based on the properties of the Laplace transform, Mittag-Leffler function, Jordan ...
Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The stabilization problem of fractional-order nonlinear systems for 0<α<1 is studied in this paper. Based on Mittag-Leffler function and the Lyapunov stability theorem, two practical stability conditions that ensure ...
Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems
Publisher: American Society of Mechanical Engineers (ASME)
Abstract: The stabilization problem of fractional-order nonlinear systems for 0<α<1 is studied in this paper. Based on Mittag-Leffler function and the Lyapunov stability theorem, two practical stability conditions that ensure ...
Robust Fixed-Time Integral Sliding Mode Control of a Nonlinear Hydraulic Turbine Regulating System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The hydraulic turbine regulating system (HTRS) plays an important role in the safe and stable operation of hydropower stations. In this paper, a fixed-time integral sliding mode controller (FTISMC) is designed to make the ...
Stability of Nonlinear Fractional Order Time Varying Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper is concerned with the stability of nonlinear fractionalorder time varying systems with Caputo derivative. By using Laplace transform, MittagLeffler function, and the Gronwall inequality, the sufficient condition ...