Design of quantized dynamic output feedback for decentralized H _∞ control systems

In this paper, we consider design of quantized dynamic output feedback for decentralized H_∞ control systems with multi-input and multi-output. We assume that a decentralized dynamic output feedback has been designed for a decentralized continuous-time LTI system so that the closed-loop system is stable and a desired H_∞ disturbance attenuation level is achieved, and that each channel' measurement outputs are quantized before they are passed to the local controller. 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.