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Asymptotically necessary and sufficient stability conditions for discrete-time Takagi-Sugeno model: Extended applications of Polya's theorem and homogeneous polynomials
Zou T(邹涛); Yu HB(于海斌)
Department信息服务与智能控制技术研究室
Source PublicationJournal of the Franklin Institute
ISSN0016-0032
2014
Volume351Issue:2Pages:922-940
Indexed BySCI ; EI ; CPCI(ISTP)
EI Accession number20140517240424
WOS IDWOS:000329972500021
Contribution Rank1
KeywordLyapunov Functions Modal Analysis Polynomials
AbstractThe stability and stabilization conditions of the nonlinear system in Takagi-Sugeno's form are considered. The homogeneously polynomially nonquadratic (HPNQ) Lyapunov functions and homogeneously polynomially parameterized (HPP) state feedback laws are adopted. By generalizing the procedure based on the Polya's theorem, the asymptotically necessary and sufficient (ANS) stability and stabilization conditions in the case of HPNQ Lyapunov functions and HPP control laws are reformulated. The major contribution of this paper is to give the parallel results using the multiple indices, so that the slack matrices can be extensively utilized to improve the numerical efficiency. The effectiveness of the results is illustrated by the numerical examples.
Language英语
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
WOS SubjectAutomation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS KeywordFUZZY CONTROL-SYSTEMS ; NONLINEAR-SYSTEMS ; NONQUADRATIC STABILIZATION ; QUADRATIC STABILITY ; LYAPUNOV FUNCTIONS ; LMI ; DESIGN ; FORM ; IMPROVEMENT ; OBSERVERS
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
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Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/14668
Collection信息服务与智能控制技术研究室
Corresponding AuthorZou T(邹涛)
AffiliationShenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China
Recommended Citation
GB/T 7714
Zou T,Yu HB. Asymptotically necessary and sufficient stability conditions for discrete-time Takagi-Sugeno model: Extended applications of Polya's theorem and homogeneous polynomials[J]. Journal of the Franklin Institute,2014,351(2):922-940.
APA Zou T,&Yu HB.(2014).Asymptotically necessary and sufficient stability conditions for discrete-time Takagi-Sugeno model: Extended applications of Polya's theorem and homogeneous polynomials.Journal of the Franklin Institute,351(2),922-940.
MLA Zou T,et al."Asymptotically necessary and sufficient stability conditions for discrete-time Takagi-Sugeno model: Extended applications of Polya's theorem and homogeneous polynomials".Journal of the Franklin Institute 351.2(2014):922-940.
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