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

• Autorzy: Stojanovic S. B. , Debeljkovic D. Lj. , Antic D. S.

Identyfikatory

DOI

10.1515/bpasts-2015-0055

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

singular systems; time-delay; LMIs; finite-time stability; stabilizing controllers; cone complementarity; linearization; cone complementarity linearization algorithm

PL

systemy pojedyńcze; czas opóźnienia; LMIs; stabilność w czasie skończonym; kontrolery stabilizujące; komplementarność; linearyzacja; algorytm linearyzacji komplementarności stożka

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2015
• Tom: Vol. 63, nr 2
• Strony: 479--487
• Opis fizyczny: Bibliogr. 30 poz., tab., wykr.

Twórcy

autor

Stojanovic S. B.

• Faculty of Technology, University of Nis,124 Bulevar Oslobodjenja St., 16000 Leskovac, Serbia

autor

Debeljkovic D. Lj.

• Faculty of Mechanical Engineering, University of Belgrade, 16 Kraljice Marije St., 11120 Belgrade, Serbia

autor

Antic D. S.

• Faculty of Electronic Engineering, University of Nis, 14 Aleksandra Medvedeva St., 18000 Nis, Serbia

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