<p>Modern industrial control systems commonly face actuator amplitude and rate limitations like thermal systems. Overlooking actuator saturation, especially rate saturation, degrades control performance and may cause instability. This study proposes a linear matrix inequality-based active disturbance rejection control (ADRC) framework. It proves the uniformly ultimately bounded stability under disturbances and rate saturation constraints without explicit compensation. This study innovatively introduces the concept of onset frequency to analyze the impact of rate saturation. Simulation and experimental validation on a Peltier temperature control platform demonstrate the ADRC’s effectiveness in meeting actuator constraints while enhancing control performance and disturbance rejection. The results establish new theoretical foundations and practical tuning rules for actuator saturation in industrial systems.</p>

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Active disturbance rejection control design with actuator rate saturation constraints

  • Zhenlong Wu,
  • Feiqi Li,
  • Yanhong Liu,
  • Shiyi Su,
  • Donghai Li,
  • YangQuan Chen

摘要

Modern industrial control systems commonly face actuator amplitude and rate limitations like thermal systems. Overlooking actuator saturation, especially rate saturation, degrades control performance and may cause instability. This study proposes a linear matrix inequality-based active disturbance rejection control (ADRC) framework. It proves the uniformly ultimately bounded stability under disturbances and rate saturation constraints without explicit compensation. This study innovatively introduces the concept of onset frequency to analyze the impact of rate saturation. Simulation and experimental validation on a Peltier temperature control platform demonstrate the ADRC’s effectiveness in meeting actuator constraints while enhancing control performance and disturbance rejection. The results establish new theoretical foundations and practical tuning rules for actuator saturation in industrial systems.