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Generalized Linear Quadratic Control for a Full Tracking Problem in Aviation.

Franciszek Dul1, Piotr Lichota1, Artur Rusowicz2

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This study addresses aircraft tracking challenges using system identification and linear quadratic regulator (LQR) control. Generalized nonlinear LQR effectively manages tracking problems with imperfect data and disturbances when aircraft models are accurate.

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Area of Science:

  • Aerospace Engineering
  • Control Systems Theory
  • System Identification

Background:

  • Aircraft control systems face complex 'full tracking' problems.
  • Accurate system identification is crucial for effective aircraft control.
  • Existing methods may struggle with measurement inaccuracies and disturbances.

Purpose of the Study:

  • To present a comprehensive approach to the full tracking problem in aircraft.
  • To investigate the efficacy of time-domain output error methods and LQR control.
  • To evaluate the performance of generalized nonlinear LQR under challenging conditions.

Main Methods:

  • System identification was performed using the time-domain output error method with the maximum likelihood principle.
  • Linear Quadratic Regulator (LQR)-based control was applied to solve aviation full tracking problems.
  • Generalized nonlinear LQR was employed to assess performance with inaccurate measurements and disturbances.

Main Results:

  • The study demonstrates the successful application of system identification techniques.
  • The LQR-based approach proved effective in addressing aviation full tracking.
  • Generalized nonlinear LQR showed robustness against measurement errors and moderate disturbances.

Conclusions:

  • Accurate aircraft model identification is fundamental for successful tracking.
  • Generalized nonlinear LQR offers a robust solution for aircraft full tracking problems.
  • This approach enhances aircraft control system performance even with imperfect operational data.