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Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...
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Adaptive linear MPC for a PMSM-driven autonomous EV with a filtered third-order generalized integrator observer.

Moustafa Magdi Ismail1, Mujahed Al-Dhaifallah2, Hegazy Rezk3

  • 1Interdisciplinary Research Center for Sustainable Energy Systems (IRC-SES), King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.

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Summary
This summary is machine-generated.

This study introduces an adaptive linear model predictive control (AL-MPC) for autonomous electric vehicles. The new method significantly improves trajectory tracking by adapting to permanent magnet synchronous motor nonlinearities, outperforming existing MPC strategies.

Keywords:
Adaptive controlBattery electric vehicleModel predictive controlMoving average filter third-order generalized integratorReal-time optimized control

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Area of Science:

  • Control Systems Engineering
  • Automotive Engineering
  • Electrical Engineering

Background:

  • Autonomous electric vehicles require precise control for trajectory tracking and motor coordination.
  • Permanent magnet synchronous motors (PMSMs) exhibit nonlinearities (e.g., inductance variation) that challenge conventional control methods.
  • Fixed-parameter model predictive control (MPC) struggles with dynamic transitions and operating-point-dependent nonlinearities.

Purpose of the Study:

  • To develop an adaptive linear MPC (AL-MPC) strategy to enhance trajectory tracking performance in autonomous electric vehicles.
  • To address the limitations of conventional MPC in handling PMSM nonlinearities during dynamic operations.
  • To improve the real-time adaptability and robustness of vehicle control systems.

Main Methods:

  • An adaptive linear MPC (AL-MPC) strategy integrating a flux observer, Taylor-series linearization, and an active-set quadratic programming optimizer.
  • Real-time estimation of electromagnetic torque and stator reactance using a moving-average-filtered third-order generalized integrator flux observer.
  • Formulation of a unified nine-state predictive model updated dynamically and optimized using quadratic programming for voltage and steering control.

Main Results:

  • AL-MPC achieved significant reductions in errors: 99.9% yaw MAE and 65% lateral position RMSE compared to linear MPC.
  • Outperformed adaptive nonlinear MPC with 77.7% lower yaw MAE and 94.6% lower lateral MAE.
  • Demonstrated real-time feasibility with a 9.65 ms control cycle execution time in HIL testing.

Conclusions:

  • The proposed AL-MPC effectively manages PMSM nonlinearities for superior trajectory tracking in autonomous electric vehicles.
  • AL-MPC offers substantial performance improvements over existing linear and adaptive nonlinear MPC methods.
  • Validated through simulations and HIL testing, AL-MPC is a computationally efficient and real-time feasible solution for advanced vehicle control.