Periodic Event-Triggered Quantized Control for Nonlinear Systems With Packet Losses and Large Transmission Delays

This paper investigates the design problem of periodic event-triggered quantized control (PETQC) for general nonlinear networked control systems (NCSs) with multiple communication channels between the plant and the controller. The transmission of information over these channels is asynchronous, and the transmission instants are determined by a local dynamic event-triggering mechanism (ETM). In each channel, continuous signals are sampled and quantized with a dynamic quantizer (DQ) before being transmitted due to limited bandwidth. In addition, large transmission delays may occur, packets may be lost and even without acknowledgements. To tackle these challenges, we introduce auxiliary variables and design appropriate jump rules to monitor the changing process of the total network-induced errors. Meanwhile, we propose new design conditions for ETM and DQs, and develop an encoding rule and a decoding algorithm. Then, we construct a new Lyapunov function and design a PETQC strategy to ensure the input-to-state stability of the nonlinear NCSs. Next, we construct triggering functions and dynamic variables for the event trigger in each channel. Compared with the existing literature, the proposed design conditions for periodic ETM involve fewer constraints and are less conservative. Finally, the efficiency and less conservatism of the theoretical results are illustrated by simulation studies.