Design of quantised dynamic output feedback for decentralised H∞ control systems

The design of quantised dynamic output feedback for decentralised H∞ control systems is considered with multiinput and multi-output. It is assumed that a decentralised dynamic output feedback has been designed for a decentralised 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's measurement outputs are quantised before they are passed to the local controller. We propose a local-output-dependent strategy for updating the quantisers' 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 quantisers' parameters are constructed in a decentralised manner, depending on local measurement outputs.