PI observer design for a class of nondifferentially flat systems

Flores-Flores, Juan Pablo ; Martinez-Guerra, Rafael

International Journal of Applied Mathematics and Computer Science, Tome 29 (2019) no. 4, pp. 655-665.

Résumé

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.

Détail

Keywords: PI observer, nondifferentially flat system, algebraic observability condition, uniform ultimate boundedness
Mots-clés : obserwator proporcjonalno-całkujący, stan obserwowalności, ograniczenie ostateczne

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