Abstract: This paper studies the stability of multirate sampled-data nonlinear systems with quantization. Under the assumption of the Schur stability of the coefficient matrix for its linearized sampled-data systems without quantization, we have shown that the multirate sampled-data systems without quantization is uniformly asymptotic stable and the multirate sampled-data systems with the constrained quantization is stable in the sense of the uniform ultimate boundedness. Finally, the difference in the response of the multirate sampled-data systems with no quantization and the systems with quantization can be made as small as desired by selecting the quantization level sufficiently small.

Key words: digital control, multirate sampling, quantization, Asymptotic stability, digital control, multirate sampling, quantization