Finite-time stability and stabilization of singular state-delay systems using improved estimation of a lower bound on a Lyapunov-like functional

Bulletin of the Polish Academy of Sciences. Technical Sciences

D.S. AnticFaculty of Electronic Engineering, University of Nis, 14 Aleksandra Medvedeva St., 18000 Nis, SerbiaOther articles by this author:De Gruyter OnlineGoogle Scholar¹  D.Lj. DebeljkovicFaculty of Mechanical Engineering, University of Belgrade, 16 Kraljice Marije St., 11120 Belgrade, SerbiaOther articles by this author:De Gruyter OnlineGoogle Scholar²  S.B. StojanovicCorresponding authorFaculty of Technology, University of Nis,124 Bulevar Oslobodjenja St., 16000 Leskovac, SerbiaEmailOther articles by this author:De Gruyter OnlineGoogle Scholar³ 

[1] Faculty of Electronic Engineering, University of Nis, 14 Aleksandra Medvedeva St., 18000 Nis, Serbia;Faculty of Mechanical Engineering, University of Belgrade, 16 Kraljice Marije St., 11120 Belgrade, Serbia;Faculty of Technology, University of Nis,124 Bulevar Oslobodjenja St., 16000 Leskovac, Serbia

关键词: Keywords: singular systems;    time-delay;    LMIs;    finite-time stability;    stabilizing controller;    cone complementarity linearization algorithm;   

DOI  :  10.1515/bpasts-2015-0055

学科分类：工程和技术（综合）

来源: Polska Akademia Nauk * Centrum Upowszechniania Nauki / Polish Academy of Sciences, Center for the Advancement of Science

【 摘 要 】

In this paper, the problems of finite-time stability and stabilization for a class of singular time-delay systems are studied. Using the Lyapunov-like functional (LLF) with (exponential or power) weighting function and a new estimation method for the lower bound on LLF, some sufficient stability conditions are introduced. It is shown that the weighting function significantly reduces the conservatism of the stability criteria in comparison to estimation of the lower bound on LLF without this function. To solve the finite-time stabilization problem, a stabilizing linear state controller is designed by exploiting the cone complementarity linearization algorithm. Two numerical examples are given to illustrate the effectiveness of the proposed method

【 授权许可】

Unknown