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<p>In this work, a higher-order extended state observer (ESO) based robust controller is developed for limit cycle oscillation (LCO) suppression of an aeroelastic wing. The aeroelastic wing is modeled using quasi-steady aerodynamics and cubic non-linearity in pitch stiffness. The system is considered to be two subsystems in pitch and plunge motion. Various non-linearities and external disturbances such as sinusoidal/triangular/graded gusts are estimated through a higher-order ESO and gust estimation is utilized to improve the robustness of the controller. The stability of the proposed higher-order ESO-based robust (HOESO-R) controller is determined using the Lyapunov theory. Extensive numerical simulations are carried out to verify and compare the performance of the proposed controller with that of existing controllers in the presence of external gusts. A comparative study is performed using two performance measures, i.e., control efforts and integral of absolute error. The simulation results prove that the proposed controller can significantly reduce the performance indices. Furthermore, simulations are also performed considering the saturation of the control surface deflection and variation in the free stream velocity. The results show that the proposed HOESO-R controller increases the LCO boundary up to 65.6<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42405_2025_907_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>%</mo> </math></EquationSource> </InlineEquation>. Finally, Monte Carlo simulations are undertaken to check the robustness of the proposed controller against parametric uncertainty, variation in initial conditions, and a twofold increase in the pitch stiffness.</p>

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Higher-Order ESO Based Robust Controller for LCO Suppression of an Aeroelastic System with Gust Disturbance

  • 期刊论文

  • 发表日期：

    2025年2月21日

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  • Balraj Sharma,
  • Pooja Agrawal,
  • Ajay Misra

摘要

In this work, a higher-order extended state observer (ESO) based robust controller is developed for limit cycle oscillation (LCO) suppression of an aeroelastic wing. The aeroelastic wing is modeled using quasi-steady aerodynamics and cubic non-linearity in pitch stiffness. The system is considered to be two subsystems in pitch and plunge motion. Various non-linearities and external disturbances such as sinusoidal/triangular/graded gusts are estimated through a higher-order ESO and gust estimation is utilized to improve the robustness of the controller. The stability of the proposed higher-order ESO-based robust (HOESO-R) controller is determined using the Lyapunov theory. Extensive numerical simulations are carried out to verify and compare the performance of the proposed controller with that of existing controllers in the presence of external gusts. A comparative study is performed using two performance measures, i.e., control efforts and integral of absolute error. The simulation results prove that the proposed controller can significantly reduce the performance indices. Furthermore, simulations are also performed considering the saturation of the control surface deflection and variation in the free stream velocity. The results show that the proposed HOESO-R controller increases the LCO boundary up to 65.6 \(\%\) % . Finally, Monte Carlo simulations are undertaken to check the robustness of the proposed controller against parametric uncertainty, variation in initial conditions, and a twofold increase in the pitch stiffness.