Fault detection based on Lyapunov exponents estimation for stabilized mechanical systems

• Autorzy: Puzyrov Volodymyr , Acho Leonardo , Pujol Gisela , Rodellar José

Identyfikatory

DOI

10.15632/jtam-pl/105471

• Języki publikacji: EN

Abstrakty

EN

We study a stabilizable mechanical system in the vicinity of an equilibrium position. This position, as a rule, is unstable, and the system is underactuated. It is assumed that faults affect the technical process and its control. We suggest a fault diagnosis technique based on estimation of Lyapunov characteristic exponents of measured variables. A model of a linear switching system is involved for the system with faults description, and a common quadratic Lyapunov function is used to evaluate the deviation of the maximum exponent with respect to the default system. A scheme of fault magnitude estimation is suggested related to the degree of this deviation. An example of a 2-degree of freedom system is presented to illustrate the procedure.

Słowa kluczowe

EN

fault detection; switched system; Lyapunov characteristic exponent; underactuated system

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2019
• Tom: Vol. 57 nr 2
• Strony: 519--531
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Puzyrov Volodymyr

• Vasyl Stus Donetsk National University, Faculty of Mathematics and Information Technology, Vinnytsya, Ukraine

autor

Acho Leonardo

• Universitat Politècnica de Catalunya-BarcelonaTech (EEBE), Department of Mathematics, Barcelona, Spain

autor

Pujol Gisela

• Universitat Politècnica de Catalunya-BarcelonaTech (EEBE), Department of Mathematics, Barcelona, Spain

autor

Rodellar José

• Universitat Politècnica de Catalunya-BarcelonaTech (EEBE), Department of Mathematics, Barcelona, Spain

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).