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Paper details
Number 4 - December 2019
Volume 29 - 2019
PI observer design for a class of nondifferentially flat systems
Juan Pablo Flores-Flores, Rafael Martinez-Guerra
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.
Keywords
model-free-base PI reduced-order observer, synchronization, nondifferentially flat system, algebraic observability condition, uniform ultimate boundedness