Journal of East China Normal University(Natural Sc ›› 2005, Vol. 2005 ›› Issue (5/6): 111-118.
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CHEN Xiao-qin, WANG Zhi-ming
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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
CLC Number:
O231.2
CHEN Xiao-qin;WANG Zhi-ming. Multirate Sampled-Data Stability of Nonlinear Systems with Quantization(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2005, 2005(5/6): 111-118.
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