Decentralized H _∞ control of interconnected systems via quantized dynamic output feedback

In this paper, we consider design of interconnected H _∞ feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired H _∞ disturbance attenuation level is achieved, and that the subsystems' measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the quantizers' parameters, so that the overall closed-loop system is asymptotically stable and achieves the same H _∞ disturbance attenuation level. Both the pre-designed controllers and the quantizers' parameters are constructed in a decentralized manner, depending on local measurement outputs.