LMI-Based Fractional Integral Sliding-Mode Control of Uncertain Fractional-Order Nonlinear Systems

[+] Author and Article Information
Sara Dadras

Electrical and Computer Engineering Department, Utah State University, Logan, UT 84322, USA

Soodeh Dadras

Electrical and Computer Engineering Department, Utah State University, Logan, UT 84322, USA

Hamid Reza Momeni

Automation and Instruments Lab, Electrical Engineering Department, Tarbiat Modares University, P.O. Box 14115-143, Tehran, Iran

1Corresponding author.

ASME doi:10.1115/1.4036807 History: Received March 21, 2014; Revised April 11, 2017


A design of LMI-based fractional-order surface for sliding-mode controller of a class of uncertain fractional-order nonlinear systems (FO-NSs) is proposed in this paper. A new switching law is achieved guaranteeing the reachability condition. This control law is established to obtain a sliding-mode controller capable of deriving the state trajectories onto the fractional-order integral switching surface and maintain the sliding motion. Using linear matrix inequalities (LMIs), a sufficient condition for existence of the sliding surface is derived which ensures the asymptotical stability on the sliding surface. Through a numerical example, the superior performance of the new fractional-order sliding mode controller is illustrated in comparison with a previously proposed method.

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