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Low-Order $\mathcal{H}_2 / \mathcal{H}_\infty$ Controller Design for Aeroelastic Vibration Suppression

Mohammad Mirtaba, Juan Augusto Paredes Salazar, Daning Huang, Ankit Goel

TL;DR

The paper develops an ${\mathcal{H}}_2/{\mathcal{H}}_\infty$ output-feedback controller for active aeroelastic vibration suppression in a cantilever beam modeled with nonlinear FEM physics. A low-order linear plant is identified from random Gaussian inputs to synthesize the controller, while frequency-weighted filters focus the design on dominant disturbance frequencies. Numerical results show substantial tip-dispplacement reductions under harmonic disturbances (≈28×) and effective damping of flutter-inducing aeroelastic oscillations, with demonstrated robustness to actuator and disturbance location. The study provides a practical framework for robust aeroelastic vibration control and highlights avenues for future work in learning-based, location-robust control strategies.

Abstract

This paper presents an $\mathcal{H}_2 / \mathcal{H}_\infty$ minimization-based output-feedback controller for active aeroelastic vibration suppression in a cantilevered beam. First, a nonlinear structural model incorporating moderate deflection and aerodynamic loading is derived and discretized using the finite element method (FEM). Then, a low-order linear model is identified from random gaussian input response data from the FEM model to synthesize an output-feedback controller using the $\mathcal{H}_2 / \mathcal{H}_\infty$ framework. A frequency-weighted dynamic filter is introduced to emphasize disturbance frequencies of interest, enabling the controller to target dominant vibration modes. Simulation results demonstrate the effectiveness of the proposed technique for vibration suppression and study its robustness to system parameter variations, including actuator placement.

Low-Order $\mathcal{H}_2 / \mathcal{H}_\infty$ Controller Design for Aeroelastic Vibration Suppression

TL;DR

The paper develops an output-feedback controller for active aeroelastic vibration suppression in a cantilever beam modeled with nonlinear FEM physics. A low-order linear plant is identified from random Gaussian inputs to synthesize the controller, while frequency-weighted filters focus the design on dominant disturbance frequencies. Numerical results show substantial tip-dispplacement reductions under harmonic disturbances (≈28×) and effective damping of flutter-inducing aeroelastic oscillations, with demonstrated robustness to actuator and disturbance location. The study provides a practical framework for robust aeroelastic vibration control and highlights avenues for future work in learning-based, location-robust control strategies.

Abstract

This paper presents an minimization-based output-feedback controller for active aeroelastic vibration suppression in a cantilevered beam. First, a nonlinear structural model incorporating moderate deflection and aerodynamic loading is derived and discretized using the finite element method (FEM). Then, a low-order linear model is identified from random gaussian input response data from the FEM model to synthesize an output-feedback controller using the framework. A frequency-weighted dynamic filter is introduced to emphasize disturbance frequencies of interest, enabling the controller to target dominant vibration modes. Simulation results demonstrate the effectiveness of the proposed technique for vibration suppression and study its robustness to system parameter variations, including actuator placement.

Paper Structure

This paper contains 22 sections, 36 equations, 11 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Structural Dynamics Model
  3. Governing Equation
  4. Finite Element Model
  5. ${\mathcal{H}}_2/{\mathcal{H}}_\infty \ $ Control
  6. Standard Control Problem
  7. Closed-loop transfer function augmentation with frequency-weighting dynamic filters
  8. ${\mathcal{H}}_2/{\mathcal{H}}_\infty \ $ Control Objective
  9. System Identification for Controller Design
  10. Controller Design and Implementation Details for Interface with Diffuser Model Simulation
  11. Numerical Simulation Results
  12. Harmonic Disturbance
  13. System Identification
  14. ${\mathcal{H}}_2/{\mathcal{H}}_\infty \ $ Controller Design
  15. Closed-loop Simulations Results
  16. ...and 7 more sections

Figures (11)

  • Figure 1: Standard control architecture with transfer function representation.
  • Figure 2: RMSE of identified $G_{yu}$ with order $n$.
  • Figure 3: Frequency-weighted filters designed for vibration suppression under external disturbance.
  • Figure 4: Open-loop (OL) and the closed-loop (CL) responses of the beam under harmonic excitation.
  • Figure 5: Closed-loop response of the beam with various control input locations under harmonic excitation.
  • ...and 6 more figures