H∞ filter design for nonlinear parameter-varying systems with quantized measurements

This paper deals with the problem of H∞ filter design for a class of nonlinear parameter-varying discrete-time systems with quantized signals. The measurement signal is quantized by a static logarithmic quantizer. Based on the stability with H∞ performance characterization obtained, sufficient conditions for the solvability of the H∞ filter design problem are presented. When these conditions are satisfied, an explicit expression of a desired filter is given. Finally, a numerical example is provided to demonstrate the applicability of the proposed approach.