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Second-order sliding set design for a class of uncertain nonlinear systems with disturbances: An LMI approach

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  • Jafari, Maryam
  • Mobayen, Saleh

Abstract

In this paper, a linear matrix inequality-based second-order sliding set control is proposed for the uncertain systems with time-varying uncertainties, nonlinearities and external disturbances. The linear matrix inequality conditions based on the Lyapunov stability theory are calculated which guarantee the robustness against external disturbances and changes of internal parameters. These conditions certify the asymptotic convergence of the state trajectories to origin during the sliding phase, and designed switching controller ensures the states reach the sliding surface. It is presented that the stability analysis can simplify the nonlinear system into a linear matrix inequality problem. The simulation results are displayed to show the effectiveness of the proposed approach.

Suggested Citation

  • Jafari, Maryam & Mobayen, Saleh, 2019. "Second-order sliding set design for a class of uncertain nonlinear systems with disturbances: An LMI approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 156(C), pages 110-125.
    • Handle: RePEc:eee:matcom:v:156:y:2019:i:c:p:110-125
    DOI: 10.1016/j.matcom.2018.06.015
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