Decentralised H∞ quantisers design for uncertain interconnected networked systems

In this study, the authors consider quantisers and controllers design for uncertain interconnected H_∞ decentralised feedback networked systems with two quantised signals in outputs and control inputs. The authors first assume that a decentralised output feedback controller has been designed for an interconnected continuous-time networked system so that the closed-loop system is stable and a desired H_∞ disturbance attenuation level is achieved. However, since the measurement outputs and control inputs are quantised by general quantisers before they are passed to the controller and the system, the system´s performance is not guaranteed. For this purpose, the authors propose an output-dependent strategy for updating the quantisers´ 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 quantisers´ parameters are constructed in a decentralised manner, depending on local information. Finally, a numerical example is given to show the effectiveness of the proposed approach.