A design of linear matrix inequality (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 (SMC) capable of deriving the state trajectories onto the fractional-order integral switching surface and maintain the sliding motion. Using 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.
Linear Matrix Inequality Based Fractional Integral Sliding-Mode Control of Uncertain Fractional-Order Nonlinear Systems
Utah State University,
Logan, UT 84322
Electrical Engineering Department,
Tarbiat Modares University,
P.O. Box 14115-143,
Tehran 14115, Iran
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received March 21, 2014; final manuscript received April 11, 2017; published online July 20, 2017. Editor: Joseph Beaman.
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Dadras, S., Dadras, S., and Momeni, H. (July 20, 2017). "Linear Matrix Inequality Based Fractional Integral Sliding-Mode Control of Uncertain Fractional-Order Nonlinear Systems." ASME. J. Dyn. Sys., Meas., Control. November 2017; 139(11): 111003. https://doi.org/10.1115/1.4036807
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