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Quantized feedback integral sliding mode control for uncertain networked linear systems via event-triggered approach.

Xinggui Zhao1, Bo Meng1, Zhen Wang1

  • 1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China.

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This study introduces a new quantized event-triggered (ET) integral sliding mode (ISM) controller for uncertain networked systems. The method ensures system stability by optimizing control signal updates and avoiding Zeno phenomena.

Keywords:
Event-triggered mechanismIntegral sliding mode controlQuantized control

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Area of Science:

  • Control Systems Engineering
  • Networked Systems Theory
  • Applied Mathematics

Background:

  • Networked systems introduce challenges like data quantization and event-triggered communication.
  • Integral Sliding Mode (ISM) control offers robustness but requires efficient state information.
  • Existing event-triggered (ET) control methods may not fully address quantization effects in networked systems.

Purpose of the Study:

  • To design a novel quantized event-triggered (ET) integral sliding mode (ISM) controller for uncertain networked linear systems.
  • To develop a new ISM surface utilizing only quantized ET states.
  • To establish conditions for control signal updates and guarantee system stability, avoiding Zeno phenomena.

Main Methods:

  • A novel ISM surface is proposed, integrating quantized ET states by discretizing time intervals.
  • New ET conditions are formulated based on state and quantized SM errors to determine control updates.
  • Analysis of minimum inter-event times during 'zoom-out' and 'zoom-in' phases to prevent Zeno behavior.

Main Results:

  • The proposed quantized ET ISM surface effectively utilizes quantized state information.
  • Novel ET conditions successfully regulate control signal updates, ensuring system stability.
  • Proof of minimum inter-event times confirms the avoidance of the Zeno phenomenon.

Conclusions:

  • The developed quantized ET ISM controller is effective for uncertain networked linear systems.
  • The proposed method offers a robust and efficient control strategy under communication constraints.
  • Simulation results validate the practical applicability and performance of the designed controller.