In this paper, we study decentralized H ∞  feedback control systems with quantized signals in local input-output (control) channels. We first assume that a decentralized output feedback controller has been designed for a multi-channel continuous-time system so that the closed-loop system is Hurwitz stable and a desired H ∞  disturbance attenuation level is achieved. However, since the local measurement outputs are quantized by a general quantizer before they are passed to the controller, the system's performance is not guaranteed. For this reason, we propose a local-output-dependent strategy for updating the quantizers' parameters, so that the closed-loop system is asymptotically stable and achieves the same H ∞  disturbance attenuation level. We also extend the discussion and the result to the case of multi-channel discrete-time H ∞  feedback control systems.
['Guisheng Zhai', 'Ning Chen', 'Weihua Gui']
A study on decentralized H∞ feedback control systems with local quantizers