Quantized H∞ Filtering for Continuous-Time Systems with Quantizer Ranges Consideration

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