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Fault tolerant control for linear parameter varying systems: An improved robust virtual actuator and sensor approach.

Mariella Maia Quadros1, Iury Valente de Bessa2, Valter J S Leite3

  • 1Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Avenida Antonio Carlos 6627, 31270-010, Belo Horizonte, MG, Brazil; Area of Control and Industrial Processes, Federal Institute of Minas Gerais, Rodovia MGC 262, Km 10, 34564-070, Sabará, MG, Brazil.

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|May 24, 2020
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Summary

This study introduces a new Fault-Tolerant Control (FTC) method for Linear Parameter Varying (LPV) systems, creating virtual sensors and actuators. The approach ensures system stability and effectively handles various faults, outperforming existing methods in experiments.

Keywords:
Fault-Tolerant ControlLPV systemsReconfiguration controlVirtual actuatorVirtual sensor

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Area of Science:

  • Control Systems Engineering
  • Systems Theory
  • Applied Mathematics

Background:

  • Linear Parameter Varying (LPV) systems are widely used to model complex dynamic systems.
  • Fault-Tolerant Control (FTC) is crucial for maintaining system performance and safety under component failures.
  • Existing FTC methods often struggle with parameter-dependent system matrices.

Purpose of the Study:

  • To develop a robust FTC methodology for discrete-time LPV systems.
  • To design virtual sensors and actuators capable of reconfiguration.
  • To guarantee Input-to-State Stability (ISS) despite parameter variations and faults.

Main Methods:

  • Utilizing Linear Matrix Inequalities (LMIs) for synthesizing a fault-reconfiguration block.
  • Developing a single reconfiguration block robust to diverse fault types and magnitudes.
  • Applying the methodology to parameter-dependent input and output matrices in LPV models.

Main Results:

  • Successfully synthesized a virtual actuator and virtual sensor reconfiguration block.
  • Demonstrated robustness to parameter-dependent matrices in LPV systems.
  • Achieved superior fault mitigation performance compared to existing literature approaches in experimental validation.

Conclusions:

  • The proposed FTC methodology offers a robust and effective solution for LPV systems with parameter-dependent dynamics.
  • The developed virtual sensor and actuator approach provides enhanced fault tolerance and stability.
  • Experimental results confirm the superiority of this method in mitigating sensor and actuator faults.