Quantized Control of Networked Control Systems with Multiplicative Noises via Event-Triggered Scheme

This paper studies the event-triggered, dissipative, quantized control problem of networked control systems (NCSs) with multiplicative noises which affect both state variables and control inputs. First, a logarithmic quantizer with arbitrary quantization region is adopted such that the quantization levels are linear in logarithmic scale. Subsequently, the event triggering scheme is adopted based on state sampling error. Using the Lyapunov technique, a dissipative quantized control via event-triggering scheme is prposed to ensure the closed-loop system be asymptotically mean-square stable in the absence of additive noises and strictly dissipative in the presence of both additive noises and multiplicative noises. Finally, a numerical example is given to validate the effectiveness of the proposed method.