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Dual-channel event-triggered control for positive nonlinear systems

Author

Listed:
  • Miao Wei
  • Yijun Zhang
  • Baoyong Zhang

Abstract

This paper focuses on the problem of dual-channel event-triggered control for positive nonlinear systems. A dual-channel event-triggered transmission scheme is proposed to determine whether the data packets should be released or not. Two 1-norm-based event-trigger conditions are designed for the sensor-controller channel and controller-actuator channel, respectively. The condition of the system remaining positivity with the designed event-trigger conditions and feedback control law is provided. By using the Lyapunov method and matrix decomposition technique, a sufficient criterion ensuring the closed loop system to be asymptotically stable is proposed. For the linearisation purpose, the control gain is delicately decomposed into a nonnegative component and a non-positive component. Zeno behaviour of the designed event-triggered transmission of sampled data packets is further rigorously proved to be excluded. An example of water pollution control system is provided to show the effectiveness of the obtained results.

Suggested Citation

  • Miao Wei & Yijun Zhang & Baoyong Zhang, 2022. "Dual-channel event-triggered control for positive nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(15), pages 3351-3363, November.
    • Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3351-3363
    DOI: 10.1080/00207721.2022.2083255
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