A Quasi-LPV Dynamic Output Feedback Stabilizer for Nonlinear Descriptor Systems via Convex Optimization Techniques

Authors

Keywords:

Quasi-LPV representations, Lyapunov method, nonlinear descriptor systems, output feedback, inear matrix inequalities, rotatory inverted pendulum

Abstract

This work proposes stabilizing descriptor systems via an output feedback controller belonging to the dynamic category, that is, observer-based controllers. The proposed approach allows for handling nonlinear descriptor systems whose non-constant terms might depend on unavailable signals. The designing conditions are linear matrix inequalities obtained from applying convex representations in combination with the Lyapunov method. Numerical examples and real-time experiments in the well-known rotatory inverted pendulum illustrate the effectiveness of the methodology.

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Author Biographies

Arturo Alvarado, Universidad Politécnica de Pachuca

Arturo Alvarado received his B. Sc. degree in mechatronics engineering from Universidad Politécnica de Pachuca, México, in 2022. He is currently pursuing the master degree in mechatronics. His research interests include control of nonlinear systems, output regulation theory, robotics, and real-time applications

Tonatiuh Hernández-Cortés, is with Universidad Autónoma del Estado de Hidalgo, Instituto de Ciencias Básicas e Ingeniería

Tonatiuh Hernández-Cortés received the B.Sc. degree in robotics from the Escuela Superior de Ingeniería Mecánica y Eléctrica, Azcapotzalco Campus, Instituto Politécnico Nacional, Mexico City, Mexico, in 2005, and the M.Sc. and Ph.D. degrees in mechanical engineering from the Sección de Estudios de Posgrado e Investigación, Escuela Superior de Ingeniería Mecánica y Eléctrica, Zacatenco Campus, Instituto Politécnico Nacional, Mexico, in 2012 and 2016, respectively. He is currently a Full Professor in the Department of Control Engineering at the Universidad Autónoma del Estado de Hidalgo, Mexico. His research interests include nonlinear systems control, output regulation theory, robotics, fuzzy systems, and real-time applications.

 

 

Jaime González-Sierra, Unidad Profesional Interdisciplinaria de Ingeniería Campus Hidalgo, Instituto Politécnico Nacional

Jaime González-Sierra received his B.Sc. degree in Mechatronics engineering from the Pachuca Polytechnic University (UPP), Hidalgo, Mexico, in 2008, his M.Sc. and Ph.D. degrees in Electrical Engineering from the Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV-IPN), Mexico, in 2010 and 2016, respectively. From 2016 to 2019, he belonged to the Conacyt young researchers program at the Technological Institute of La Laguna. Since 2022, he is a full-time professor at Unidad Profesional Interdisciplinaria de Ingeniería Campus Hidalgo, Instituto Politécnico Nacional, Mexico. His research areas are linear and nonlinear control of multi-agent systems and modeling of mobile robots. Dr. González-Sierra is part of the National Researcher System in Mexico
at Level 1.

 

 

 

Victor Estrada Manzo, Universidad Politécnica de Pachuca

Víctor Estrada-Manzo was born in Zamora, Mexico, in 1987. He received the Ph.D. degree in Automatic Control from the University of Valenciennes and Hainaut-Cambrésis, France, in 2015, on the subject of nonsingular convex descriptor systems. He worked as a Post-Doctoral fellowship at the Sonora Institute of Technology, Mexico from 2015 to 2018. He currently holds a Full Professor position at the Polytechnical University of Pachuca, Mexico. He is a member of the National Research System of Mexico since 2017. His research interests are analysis, design, and diagnosis of nonlinear control systems through descriptor quasi-LPV models and convex optimization techniques.

 

 

 

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Published

2026-07-14

How to Cite

Alvarado, A., Hernández-Cortés, T., González-Sierra, J., & Estrada Manzo, V. (2026). A Quasi-LPV Dynamic Output Feedback Stabilizer for Nonlinear Descriptor Systems via Convex Optimization Techniques. IEEE Latin America Transactions, 24(9), 1035–1044. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/10536

Issue

Vol. 24 No. 9 (2026): Ordinary Issue

Section

Electronics