Quantized stabilization of wireless networked control systems with packet losses

This paper considers stabilization of discrete-time linear systems, where wireless networks exist for transmitting the sensor and controller information. Based on Markov jump systems, we show that the coarsest quantizer that stabilizes the WNCS is logarithmic in the sense of mean square quadratic stability and the stabilization of this system can be transformed into the robust stabilization of an equivalent uncertain system. Moreover, a method of optimal quantizer/controller design in terms of linear matrix inequality is presented. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results. •Wireless networked control system (WNCS) is modeled as a Markov jump linear system.•The coarsest quantizer that stabilizes the WNCS is logarithmic in the sense of mean square quadratic stability.•A method of optimal quantizer/controller design in WNCS is presented.