H∞ filter design for continuous-time systems with quantised signals

This article studies the quantised H infinity filtering problem for continuous-time systems with a type of dynamic quantisers, which are conjuncted with static quantisers via dynamic scalings. The static quantiser ranges are fully considered here for practical transmission channels requirements. A quantised H infinity filter design strategy is proposed, where a convex optimisation method is developed to minimise static quantiser ranges. The resulting design guarantees that the quantised augmented system is asymptotically stable and with a prescribed H infinity performance bound. The effectiveness of the proposed filter design method is demonstrated by a numerical example.