Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems

Bulletin of the Polish Academy of Sciences. Technical Sciences

K.J. LatawiecCorresponding authorInstitute of Control and Computer Engineering, Opole University of Technology, 31 Sosnkowskiego St., 45-272 Opole, PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹  R. Stanis?awskiInstitute of Control and Computer Engineering, Opole University of Technology, 31 Sosnkowskiego St., 45-272 Opole, PolandOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

[1] Institute of Control and Computer Engineering, Opole University of Technology, 31 Sosnkowskiego St., 45-272 Opole, Poland

关键词: Keywords : Grünwald-Letnikov fractional difference;    discrete-time fractional-order systems;    stability criterion;    nonminimum phase system;    closed-loop stability;   

DOI  :  10.2478/bpasts-2013-0035

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 】

This paper presents a series of new results on the asymptotic stability of discrete-time fractional difference (FD) state space systems and their finite-memory approximations called finite FD (FFD) and normalized FFD (NFFD) systems. In Part I of the paper, new necessary and sufficient stability conditions have been given in a unified form for FD, FFD and NFFD-based systems. Part II offers a new, simple, ultimate stability criterion for FD-based systems. This gives rise to the introduction of new definitions of the so-called f-poles and f-zeros for FD-based systems, which are used in the closed-loop stability analysis for FD-based systems and, approximately, for FFD/NFFD-based ones

【 授权许可】

Unknown