Maximum power tracking of variable-speed wind energy conversion systems based on a near-optimal servomechanism control system

Bayandy Sarsembayev, Darkhan Zholtayev, Ton Duc Do

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In this article, integral servomechanism based state-dependent Riccati equation (SDRE) nonlinear output feedback control for wind energy conversion systems (WECSs) has been proposed. The numerical off-line solving the proposed SDRE control requires to formulate algebraic Riccati equation and algebraic Lyapunov equation. This method approximates the solution of SDRE with Taylor series expansions which are solved with MATLAB solvers. The maximum power point tracking is achieved by defining relation between the optimal angular shaft speed and maximum power providing optimal tip speed ratio in variable-speed WECSs. The proposed control can significantly reduce the angular shaft speed errors of the permanent magnet synchronous generator (PMSG)-based WECSs without use of disturbance observers to compensate model uncertainties, modeling errors and noise as in the conventional SDRE control method. The simulation results demonstrate the superior results under mean average errors and root mean square error evaluation methods of the angular shaft speed of PMSG. The performance of the proposed integral servomechanism based SDRE control system has been improved by 80.67% and 80.05% in both scenarios compared to the conventional SDRE control based on compensation technique with disturbance observers.

Original languageEnglish
Pages (from-to)904-924
Number of pages21
JournalOptimal Control Applications and Methods
Issue number3
Publication statusAccepted/In press - 2022


  • generator-side converter control
  • integral servomechanism based control
  • maximum power point tracking
  • nonlinear output feedback controller
  • optimal tip speed ratio
  • permanent magnet synchronous generator
  • state-dependent Riccati equation
  • wind energy conversion system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Control and Optimization
  • Applied Mathematics


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