Periodic decentralized event-triggered control for nonlinear systems with asynchronous update and dynamic quantization

• Published in: Nonlinear dynamics Vol. 109; no. 2; pp. 877 - 890
• Main Authors: Fu, Anqi, Qiao, Junfei
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.07.2022; Springer Nature B.V
• Subjects: Actuators; Automotive Engineering; Classical Mechanics; Control; Control systems; Controllers; Data compression; Dynamic stability; Dynamical Systems; Energy consumption; Engineering; Errors; Event triggered control; Feedback control; Laboratories; Measurement; Mechanical Engineering; Network control; Nonlinear control; Nonlinear systems; Original Paper; Sampling error; Sampling methods; Sensors; Vibration; Water distribution; Water engineering; Wireless networks; Decentralized event-triggered control; Periodic sampling; Smart water distribution system; Wireless networked control system; Dynamic quantization
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-022-07456-w

Periodic event-triggered control (PETC) is an aperiodic sampling technique aiming at reducing the working time of the sensors and the transmissions in the feedback control loop, and thus making it suitable for wireless networked control systems. In this work we extend the PETC by introducing asynchronous update and dynamic quantization for nonlinear systems and study the stability with consideration of disturbances. At each sensor node, a threshold is computed based on the new sampling. Then at the following periodic sample time, a localized event-triggered mechanism decides event base on whether the local sampling error exceeds the threshold. How many times the error exceeds the threshold and the sign of the error will be transmitted to the controller. In this way, the asynchronous update and coarse quantization are achieved. A similar mechanism can also be applied to the controller to actuator channel if the controller has its own state. The feasibility of the approach is shown via two examples, including a smart water distribution system.