Exponential estimates of a class of time-delay nonlinear systems with convex representations

• Autorzy: Ramírez M. , Villafuerte R. , González T. , Bernal M.

Identyfikatory

DOI

10.1515/amcs-2015-0058

• Języki publikacji: EN

Abstrakty

EN

This work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates as well as a guaranteed cost of the system solutions. The result is based on an exact convex representation of the nonlinear system which allows a Lyapunov–Krasovskii functional to be applied in order to obtain sufficient conditions in the form of linear matrix inequalities. These are efficiently solved via convex optimization techniques. A real-time implementation of the developed approach on the twin rotor MIMO system is included.

Słowa kluczowe

EN

exponential estimate; time delay system; TS model; guaranteed cost; convex representation

PL

funkcja wykładnicza; układ z opóźnieniem; koszt gwarantowany

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2015
• Tom: Vol. 25, no. 4
• Strony: 815--826
• Opis fizyczny: Bibliogr. 56 poz., rys., wykr.

Twórcy

autor

Ramírez M.

• Research Center on Information Technology and Systems, Hidalgo State University, Carretera Pachuca-Tulancingo Km. 4.5, CP 42184, Mineral de la Reforma, Hidalgo, Mexico

autor

Villafuerte R.

• Research Center on Information Technology and Systems, Hidalgo State University, Carretera Pachuca-Tulancingo Km. 4.5, CP 42184, Mineral de la Reforma, Hidalgo, Mexico

autor

González T.

• Department of Electric and Electronics Engineering, Sonora Institute of Technology, 5 de Febrero 818 Sur, CP 85000, Ciudad Obregón, Sonora, Mexico

autor

Bernal M.

• Department of Electric and Electronics Engineering, Sonora Institute of Technology, 5 de Febrero 818 Sur, CP 85000, Ciudad Obregón, Sonora, Mexico

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