<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

PI Observer Design for a Class of Nondifferentially Flat Systems

Department of Automatic Control, CINVESTAV-IPN

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"PI Observer Design for a Class of Nondifferentially Flat Systems"}

This paper presents a methodology and design of a model-free-based proportional-integral reduced-order observer for a class of nondifferentially flat systems....

PI Observer Design for a Class of Nondifferentially Flat Systems

Published Online: Dec 31, 2019

Page range: 655 - 665

Received: Nov 30, 2018

Accepted: Jul 29, 2019

DOI: https://doi.org/10.2478/amcs-2019-0048

Keywords
model-free-base PI reduced-order observer, synchronization, nondifferentially flat system, algebraic observability condition, uniform ultimate boundedness

© 2019 Juan Pablo Flores-Flores et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

PI Observer Design for a Class of Nondifferentially Flat Systems

Published Online: Dec 31, 2019

Page range: 655 - 665

Received: Nov 30, 2018

Accepted: Jul 29, 2019

DOI: https://doi.org/10.2478/amcs-2019-0048

Keywordsmodel-free-base PI reduced-order observer, synchronization, nondifferentially flat system, algebraic observability condition, uniform ultimate boundedness

© 2019 Juan Pablo Flores-Flores et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
model-free-base PI reduced-order observer, synchronization, nondifferentially flat system, algebraic observability condition, uniform ultimate boundedness