<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties. In contrast to the methodologies from the field of linear parameter varying systems, which employ convex structures of the state space representation in order to perform analysis and design, the proposed approach makes use of a polytopic form of a generalisation of the characteristic polynomial, which proves to outperform former results on the subject. Moreover, the derived conditions have the advantage of being cast as linear matrix inequalities under mild assumptions.</p></abstract>

This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties. In contrast to the methodologies from the field of linear parameter varying systems, which employ convex structures of the state space representation in order to perform analysis and design, the proposed approach makes use of a polytopic form of a generalisation of the characteristic polynomial, which proves to outperform former results on the subject. Moreover, the derived conditions have the advantage of being cast as linear matrix inequalities under mild assumptions.

LMI–Based Robust Control of Uncertain Nonlinear Systems via Polytopes of Polynomials

Department of Electric and Electronics, Engineering Sonora Institute of Technology

International Journal of Applied Mathematics and Computer Science

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

This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties. In contrast to the methodologies...

LMI–Based Robust Control of Uncertain Nonlinear Systems via Polytopes of Polynomials

Publicado en línea: 04 jul 2019

Páginas: 275 - 283

Recibido: 13 jul 2018

Aceptado: 21 ene 2019

DOI: https://doi.org/10.2478/amcs-2019-0020

Palabras clave
robust control, uncertain systems, nonlinear systems, linear parameter-varying systems, LMIs

© 2019 Marcelino Sánchez et al., published by Sciendo

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

LMI–Based Robust Control of Uncertain Nonlinear Systems via Polytopes of Polynomials

Publicado en línea: 04 jul 2019

Páginas: 275 - 283

Recibido: 13 jul 2018

Aceptado: 21 ene 2019

DOI: https://doi.org/10.2478/amcs-2019-0020

Palabras claverobust control, uncertain systems, nonlinear systems, linear parameter-varying systems, LMIs

© 2019 Marcelino Sánchez et al., published by Sciendo

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

Palabras clave
robust control, uncertain systems, nonlinear systems, linear parameter-varying systems, LMIs