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Dawei Ding, Shujia Li, Nian Wang. Sliding Mode Control of Fractional-Order Memristive System[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2017, 26(3): 418-426. doi: 10.15918/j.jbit1004-0579.201726.0319
Citation: Dawei Ding, Shujia Li, Nian Wang. Sliding Mode Control of Fractional-Order Memristive System[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2017, 26(3): 418-426.doi:10.15918/j.jbit1004-0579.201726.0319
shu

Sliding Mode Control of Fractional-Order Memristive System

doi:10.15918/j.jbit1004-0579.201726.0319

  • School of Electronics and Information Engineering, Anhui University, Hefei 230601, China

  • Received Date:2016-08-12
    Abstract
  • A sliding mode controller for a fractional-order memristor-based chaotic system is designed to address its problem in stabilization control. Firstly, a physically realizable fractional-order memristive chaotic system was introduced, which can generate a complex dynamic behavior. Secondly, a sliding mode controller based on sliding mode theory along with Lyapunov stability theory was designed to guarantee the occurrence of the sliding motion. Furthermore, in order to demonstrate the feasibility of the controller, a condition was derived with the designed controller's parameters, and the stability analysis of the controlled system was tested. A theoretical analysis shows that, under suitable condition, the fractional-order memristive system with a sliding mode controller comes to a steady state. Finally, numerical simulations are shown to verify the theoretical analysis. It is shown that the proposed sliding mode method exhibits a considerable improvement in its applications in a fractional-order memristive system.
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