Stability of nominally stable uncertain singularly perturbed systems with multiple time delays

• Autorzy: Chen C. , Pan S. , Hsieh J.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the robust asymptotic stability problem for a class of nominally stable uncertain singularly perturbed systems with multiple non-commensurate time delays is considered. A delay-dependent criterion is first proposed in this paper to guarantee robust asymptotic stability of the system under consideration. Based on this result, the range of allowable bounds of the perturbation matrices preserving the closed-loop stability can easily be found. Moreower, a simple criterion is also proposed to guarantee asymptotic, stability of the nominal system. Furthermore, a simple estimation of the stability bound epsilon* is proposed such that the nominal system is asymptotically stable for epsilon [belongs to](0,epsilon*). It can be seen that the stability bound proposed in this paper is less conservative than that presented in recent research. Finally, a numerical example is provided to illustrate our main results.

Słowa kluczowe

EN

asymptotic stability; delay-dependent criterion; singularly perturbed system

PL

stabilność asymptotyczna

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2002
• Tom: Vol. 31, no 1
• Strony: 5--16
• Opis fizyczny: Bibliogr. 10 poz.,

Twórcy

autor

Chen C.

autor

Pan S.

autor

Hsieh J.