PI observer design for a class of nondifferentially flat systems

• Autorzy: Flores-Flores Juan Pablo , Martinez-Guerra Rafael

Identyfikatory

DOI

10.2478/amcs-2019-0048

• Języki publikacji: EN

Abstrakty

EN

This paper presents a methodology and design of a model-free-based proportional-integral reduced-order observer for a class of nondifferentially flat systems. The problem is tackled from a differential algebra point of view, that is, the state observer for nondifferentially flat systems is based on algebraic differential polynomials of the output. The observation problem is treated together with that of a synchronization between a chaotic system and the designed observer. Some basic notions of differential algebra and concepts related to chaotic synchronization are introduced. The PI observer design methodology is given and it is proven that the estimation error is uniformly ultimately bounded. To exemplify the effectiveness of the PI observer, some cases and their respective numerical simulation results are presented.

Słowa kluczowe

EN

PI observer; nondifferentially flat system; algebraic observability condition; uniform ultimate boundedness

PL

obserwator proporcjonalno-całkujący; stan obserwowalności; ograniczenie ostateczne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2019
• Tom: Vol. 29, no. 4
• Strony: 655--665
• Opis fizyczny: Bibliogr. 20 poz., wykr.

Twórcy

autor

Flores-Flores Juan Pablo

• Department of Automatic Control, CINVESTAV-IPN, Av. Instituto Politecnico Nacional 2508, La Laguna Ticoman, 07360 Mexico City, Mexico

autor

Martinez-Guerra Rafael

• Department of Automatic Control, CINVESTAV-IPN, Av. Instituto Politecnico Nacional 2508, La Laguna Ticoman, 07360 Mexico City, Mexico

Bibliografia

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Uwagi

PL

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