SDRE-Based Integral Sliding Mode Control for Wind Energy Conversion Systems

Bayandy Sarsembayev, Kanat Suleimenov, Botagoz Mirzagalikova, Ton Duc Do

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


This paper proposes a novel integral sliding mode control (ISMC) scheme based on numerically solving a state-dependent Ricatti equation (SDRE), nonlinear feedback control for wind energy conversion systems (WECSs) with permanent magnet synchronous generators (PMSGs). Unlike the conventional ISMC, the proposed control system is designed with nonlinear near optimal feedback control part to take into account nonlinearities of the WECSs. The Taylor series are used to approximate the solutions of SDRE. More specifically, the nonlinear optimal feedback control has been obtained by solving continuous algebraic Ricatti and Lyapunov equations. Sliding variables are designed such that reaching phase is eliminated and stability is guaranteed. The proposed control method equipped with high-order observer can guarantee more superior results than linear techniques such as linear quadratic regulator (LQR), conventional ISMC, and first-order sliding-mode control (SMC) method. Increasing the number of terms of the Taylor's series of the proposed control law provides better approximation, therefore the performance is improved. However, this increases the computational burden. The effectiveness of the control method is validated via simulations in MATLAB/Simulink under nominal parameters and model uncertainties.

Original languageEnglish
Article number9034041
Pages (from-to)51100-51113
Number of pages14
JournalIEEE Access
Publication statusPublished - 2020


  • Integral sliding mode control (ISMC)
  • continuous approximation
  • generalized high-order disturbance observer (GHODO)
  • nonlinear output feedback
  • permanent magnet synchronous generator (PMSG)
  • state-dependent Ricatti equation (SDRE)
  • variable-speed wind turbine
  • wind energy conversion system (WECS)

ASJC Scopus subject areas

  • General Computer Science
  • General Materials Science
  • General Engineering


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