Decentralized H∞ quantizers design for uncertain interconnected networked systems

In this paper, we consider quantizers and controllers design of uncertain interconnected H∞ decentralized feedback networked systems with two quantized signals in states/outputs and control inputs. We first assume that a decentralized state feedback controller has been designed for an interconnected continuous-time networked system so that the closed-loop system is Hurwitz stable and a desired H∞ disturbance attenuation level is achieved. However, since the states and control inputs are quantized by a general quantizer before they are passed to the controller and system, the system's performance is not guaranteed. For this purpose, we propose a state and control input dependent strategy for updating the quantizers' parameters, so that the closed-loop system is asymptotically stable and achieves the same H∞ disturbance attenuation level. Both the pre-designed controllers and the quantizer's parameters are constructed in a decentralized manner, depending on local information. Finally, a numerical example is given to show the effectiveness of the proposed techniques.