Flores-Flores, Juan-Pablo ; Martinez-Guerra, Rafael
Contributor:Clempner, Julio B. - ed. ; Ikonen, Enso - ed. ; Kurdyukov, Alexander P. - ed.
Title:PI observer design for a class of nondifferentially flat systems
Subtitle: Group publication title: Subject and Keywords:model-free-base PI reduced-order observer ; synchronization ; nondifferentially flat system ; algebraic observability condition ; uniform ultimate boundedness
Abstract: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.
Publisher:Zielona Góra: Uniwersytet Zielonogórski
Date: Resource Type: DOI: Pages: Source:AMCS, volume 29, number 4 (2019) ; click here to follow the link
Language: License CC BY 4.0: Rights: