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A novel condition for stable nonlinear sampled-data models using higher-order discretized approximations with zero dynamics  ( SCI-EXPANDED收录 EI收录)   被引量:8

文献类型:期刊文献

英文题名:A novel condition for stable nonlinear sampled-data models using higher-order discretized approximations with zero dynamics

作者:Zeng, Cheng Liang, Shan Xiang, Shuwen

第一作者:Zeng, Cheng;曾诚

通信作者:Zeng, C[1]

机构:[1]Guizhou Inst Technol, Coll Sci, Guiyang 550003, Guizhou, Peoples R China;[2]Guizhou Univ, Coll Comp Sci & Technol, Guiyang 550025, Guizhou, Peoples R China;[3]Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China

第一机构:贵州理工学院理学院

通信机构:corresponding author), Guizhou Inst Technol, Coll Sci, Guiyang 550003, Guizhou, Peoples R China.|贵州理工学院理学院;贵州理工学院;

年份:2017

卷号:68

起止页码:73-81

外文期刊名:ISA TRANSACTIONS

收录:;EI(收录号:20171403518953);Scopus(收录号:2-s2.0-85016416384);WOS:【SCI-EXPANDED(收录号:WOS:000401383100008)】;

基金:This work is supported by the National Basic Research Program of China ("973" Grant No. 2013CB328903), the National Natural Science Foundation of China (61403055,11501143), the Joint Funds of the Natural Science Foundation Project of Guizhou (Grant No. LH[2014]7364, No. LH[2014]7362), the Ph.D. launch scientific research projects of Guizhou Institute Technology (No. 2014) and the Research Project of Chongqing Science & Technology Commission (cstc2014jcyjA40005). The authors also gratefully acknowledge the helpful comments and suggestions of the viewers, which have improved the presentation.

语种:英文

外文关键词:Consistency condition; Exact sampled-data plant; Higher-order approximation discretized model; Zero dynamics; Controller design

摘要:Continuous-time systems are usually modelled by the form of ordinary differential equations arising from physical laws. However, the use of these models in practice and utilizing, analyzing or transmitting these data from such systems must first invariably be discretized. More importantly, for digital control of a continuous-time nonlinear system, a good sampled-data model is required. This paper investigates the new consistency condition which is weaker than the previous similar results presented. Moreover, given the stability of the high-order approximate model with stable zero dynamics, the novel condition presented stabilizes the exact sampled-data model of the nonlinear system for sufficiently small sampling periods. An insightful interpretation of the obtained results can be made in terms of the stable sampling zero dynamics, and the new consistency condition is surprisingly associated with the relative degree of the nonlinear continuous-time system. Our controller design, based on the higher-order approximate discretized model, extends the existing methods which mainly deal with the Euler approximation. (C) 2017 ISA. Published by Elsevier Ltd. All rights reserved.

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