A unified convex combination approach to switched uncertain nonlinear systems

• Autorzy: Chang Yufang , Zhai Guisheng , Fu Bo

Identyfikatory

DOI

10.61822/amcs-2025-0009

• Języki publikacji: EN

Abstrakty

EN

We address a unified convex combination approach to a class of switched uncertain nonlinear systems, focusing on quadratic stability and L₂ gain. In each subsystem, there are norm-bounded uncertainties in the system matrix and nonlinear terms with quadratic constraints. The proposed convex combination is original and unified in the sense of incorporating not only the nominal subsystem matrices but also uncertainty and quadratic constraints in the same form. When there is no single subsystem having the desired performance but a convex combination of subsystems does, we design a switching law so that the switched system achieves the same performance. Moreover, the discussion is extended to switching state feedback and its application to a boost converter.

Słowa kluczowe

EN

switched uncertain nonlinear system; convex combination; quadratic stability; L2 gain; state dependent switching law

PL

układ nieliniowy; kombinacja wypukła; stabilność kwadratowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2025
• Tom: Vol. 35, no. 1
• Strony: 117--128
• Opis fizyczny: Bibliogr. 35 poz., rys., wykr.

Twórcy

autor

Chang Yufang

• School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan, 430070, China

autor

Zhai Guisheng

• Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama, 3378570, Japan

autor

Fu Bo

• School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan, 430070, China

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).