Networked Control With Reset Quantized State Based on Bernoulli Processing

This paper considers the problem of reset quantized state control for a class of continuous-time linear system. The logarithmic quantization scheme is employed in the network-based information communication, and a reset state observer is introduced which is based on the standard one to suppress sensor quantization effects. A Bernoulli processing approach is presented to reset the value of the observer with a random way in continuous-time domain. The resulting reset error system is a class of hybrid system which contains both discrete-time and continuous-time stochastic error dynamics. By the stochastic Lyapunov method, it is derived that the error system under the proposed reset technique is asymptotically stable in the sense of each discrete “reset” time instant, and mean-square stable in the continuous-time domain except those “reset” time instants. The observer and controller gains of the closed-loop systems are obtained via solving linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.