具有量化误差的多步长非线性采样系统的镇定

Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (1): 13-26.

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Stabilization of Multi-rate Sampled-data Nonlinear Systems with Quantization

YU Hong-Wang¹, WANG Zhi-Ming^2,3, ZHANG Bao-Shan¹

1. School of Mathematics and Statistics, Nanjing Audit University, Nanjing 211815;
2.Department of Mathematics, East China Normal University, Shanghai 200241;
3.Center for Applied and Interdisciplinary Mathematics, Department of Mathematics, East China Normal University, Shanghai 200062

Received:2009-09-08 Revised:2011-12-06 Online:2012-02-25 Published:2012-02-25
Supported by:
国家自然科学基金(10671069)、上海市重点学科项目(B407)和南京审计学院微分方程理论与应用硕士点建设基金(202720035)资助

Abstract

Abstract:

This paper investigates multi-rate sampled-data stabilization of nonlinear control systems while the sampler produces quantization during sampling. The approximate DTD method is employed to design a (globally) stabilized controller based on the approximate discrete-time models of the nonlinear plant. It is shown that the multi-rate sampled-data nonlinearcontrolsystemswith quantizationareguaranteedtobe semi-globallypracticalasymp-totically stable while the approximate error and quantization level are restricted by a certain error condition. A simulation example illustrates the validity of obtained results.

Key words: Multi-rate sampled-data, Quantization, Semi-globally practically asymptotic sta-bility

CLC Number:

93C57

YU Hong-Wang, WANG Zhi-Ming, ZHANG Bao-Shan. Stabilization of Multi-rate Sampled-data Nonlinear Systems with Quantization[J].Acta mathematica scientia,Series A, 2012, 32(1): 13-26.

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Stabilization of Multi-rate Sampled-data Nonlinear Systems with Quantization

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