Unified optimization of index and upper stability bound for singularly   perturbed systems

doi:10.1007/s11590-013-0686-6

CORC > 北京大学 > 工学院

	Unified optimization of index and upper stability bound for singularly perturbed systems
	Liu, Lei ; Yang, Ying ; Liu, Wanquan
刊名	optimization letters
	2014
关键词	Singularly perturbed systems Stability H-infinity performance State feedback control Linear matrix inequality (LMI) Nash game approach H-INFINITY CONTROL
DOI	10.1007/s11590-013-0686-6
英文摘要	In this paper, unified optimization problem for the upper stability bound and the performance index based on state feedback is considered for singularly perturbed systems. First, a sufficient condition for the existence of state feedback controller is presented in terms of linear matrix inequalities such that the resulting closed-loop system is asymptotically stable if and also guarantees performance index. Furthermore, a new algorithm to optimize these two indices simultaneously is proposed based on Nash game theory which transfers multi-objective problem into a single objective problem as well we determines the objective weights. Then an optimal state feedback controller can be derived. Finally, some numerical examples are provided to demonstrate the effectiveness and correctness of the proposed results.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000339823300008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Operations Research & Management Science; Mathematics, Applied; SCI(E); EI; 1; ARTICLE; liulei1223@pku.edu.cn; yy@pku.edu.cn; W.Liu@curtin.edu.au; 6,SI; 1889-1904; 8
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154233]
专题	工学院
推荐引用方式 GB/T 7714	Liu, Lei,Yang, Ying,Liu, Wanquan. Unified optimization of index and upper stability bound for singularly perturbed systems[J]. optimization letters,2014.
APA	Liu, Lei,Yang, Ying,&Liu, Wanquan.(2014).Unified optimization of index and upper stability bound for singularly perturbed systems.optimization letters.
MLA	Liu, Lei,et al."Unified optimization of index and upper stability bound for singularly perturbed systems".optimization letters (2014).