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

• Autorzy: Stanisławski R. , Latawiec K. J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Grünwald-Letnikov fractional difference; discrete-time fractional order system; stability criterion; non-minimum phase system; closed loop stability

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2013
• Tom: Vol. 61, nr 2
• Strony: 363--370
• Opis fizyczny: Bibliogr. 15 poz., rys., wykr.

Twórcy

autor

Stanisławski R.

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

autor

Latawiec K. J.

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

Bibliografia

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