Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique

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	Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique
其他题名	Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique
	Zhang TieYan; Zhao Yan; Xie XiangPeng
	2012
发表期刊	CHINESE PHYSICS B
ISSN	1674-1056
卷号	21 期号:12
摘要	This paper is concerned with the problem of stability analysis of nonlinear Roesser-type two-dimensional (2D) systems. Firstly, the fuzzy modeling method for the usual one-dimensional (1D) systems is extended to the 2D case so that the underlying nonlinear 2D system can be represented by the 2D Takagi-Sugeno (TS) fuzzy model, which is convenient for implementing the stability analysis. Secondly, a new kind of fuzzy Lyapunov function, which is a homogeneous polynomially parameter dependent on fuzzy membership functions, is developed to conceive less conservative stability conditions for the TS Roesser-type 2D system. In the process of stability analysis, the obtained stability conditions approach exactness in the sense of convergence by applying some novel relaxed techniques. Moreover, the obtained result is formulated in the form of linear matrix inequalities, which can be easily solved via standard numerical software. Finally, a numerical example is also given to demonstrate the effectiveness of the proposed approach.
其他摘要	This paper is concerned with the problem of stability analysis of nonlinear Roesser-type two-dimensional (2D) systems. Firstly, the fuzzy modeling method for the usual one-dimensional (1D) systems is extended to the 2D case so that the underlying nonlinear 2D system can be represented by the 2D Takagi-Sugeno (TS) fuzzy model, which is convenient for implementing the stability analysis. Secondly, a new kind of fuzzy Lyapunov function, which is a homogeneous polynomially parameter dependent on fuzzy membership functions, is developed to conceive less conservative stability conditions for the TS Roesser-type 2D system. In the process of stability analysis, the obtained stability conditions approach exactness in the sense of convergence by applying some novel relaxed techniques. Moreover, the obtained result is formulated in the form of linear matrix inequalities, which can be easily solved via standard numerical software. Finally, a numerical example is also given to demonstrate the effectiveness of the proposed approach.
关键词	NONQUADRATIC STABILIZATION CONDITIONS DISCRETE MODEL stability analysis Roesser model two-dimensional nonlinear systems parameter-dependent Lyapunov function
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Chinese Ministry of Education] ; [Key Technologies R & D Program of Liaoning Province] ; [Program for Liaoning Innovative Research Team in University] ; [Program for Liaoning Excellent Talents in University] ; [Science and Technology Program of Shenyang]
CSCD记录号	CSCD:4740307
引用统计
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/141603
专题	中国科学院金属研究所
作者单位	中国科学院金属研究所
推荐引用方式 GB/T 7714	Zhang TieYan,Zhao Yan,Xie XiangPeng. Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique[J]. CHINESE PHYSICS B,2012,21(12).
APA	Zhang TieYan,Zhao Yan,&Xie XiangPeng.(2012).Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique.CHINESE PHYSICS B,21(12).
MLA	Zhang TieYan,et al."Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique".CHINESE PHYSICS B 21.12(2012).