Ultimate Boundedness Control for Networked Systems with Redundant Channel under Quantization Effects

This paper investigates the ultimate boundedness control problem for a class of networked systems with redundant channels under uniform quantization effects. Quantized output of concerned NCSs is transmitted to remote controller through a communication channel. For the purpose of improving communication quality, a redundant channel connected with a more precise quantizer is also employed, where the time to accomplish quantizing task is also considered. The transmission delays of such a redundant channel are modelled by a sequence of independent and identically distributed (i.i.d.) stochastic variable. An output feedback controller is developed under which the exponentially ultimate boundedness in mean square could be guaranteed. Through the virtue of stochastic analysis technology and Lyapunov-like method, sufficient conditions are established to ensure the existence of the desired controller, and the desired gain matrices are then obtained by solving a set of linear matrix inequalities. Finally, the effectiveness of designed controller is demonstrated through a simulation example.