Asymptotically necessary and sufficient stability conditions for discrete-time Takagi-Sugeno model: Extended applications of Polya's theorem and homogeneous polynomials
文献类型：期刊论文
| 作者 | Zou T(邹涛) ; Yu HB(于海斌)
|
| 刊名 | Journal of the Franklin Institute
 |
| 出版日期 | 2014 |
| 卷号 | 351期号:2页码:922-940 |
| ISSN号 | 0016-0032 |
| 关键词 | Lyapunov functions Modal analysis Polynomials |
| 通讯作者 | 邹涛 |
| 产权排序 | 1 |
| 中文摘要 | The 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. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications |
| 研究领域[WOS] | Automation & Control Systems ; Engineering ; Mathematics |
| 关键词[WOS] | FUZZY CONTROL-SYSTEMS ; NONLINEAR-SYSTEMS ; NONQUADRATIC STABILIZATION ; QUADRATIC STABILITY ; LYAPUNOV FUNCTIONS ; LMI ; DESIGN ; FORM ; IMPROVEMENT ; OBSERVERS |
| 收录类别 | SCI ; EI ; CPCI（ISTP） |
| 语种 | 英语 |
| WOS记录号 | WOS:000329972500021 |
| 源URL | [http://ir.sia.cn/handle/173321/14668]  |
| 专题 | 沈阳自动化研究所_信息服务与智能控制技术研究室 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：沈阳自动化研究所
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