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 multi‐input 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.