On the State-Feedback Controller Design for Polynomial Linear Parameter-Varying Systems with Pole Placement within Linear Matrix Inequality Regions-Reference-Cited by-同舟云学术

On the State-Feedback Controller Design for Polynomial Linear Parameter-Varying Systems with Pole Placement within Linear Matrix Inequality Regions

Published:2023-11-19 Issue:22 Volume:11 Page:4696
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Brizuela-Mendoza Jorge A.¹^ORCID,Mixteco-Sánchez Juan Carlos²^ORCID,López-Osorio Maria A.²,Ortiz-Torres Gerardo³^ORCID,Sorcia-Vázquez Felipe D. J.³^ORCID,Lozoya-Ponce Ricardo Eliú⁴^ORCID,Ramos-Martínez Moises B.³^ORCID,Pérez-Vidal Alan F.³^ORCID,Morales Jesse Y. Rumbo³^ORCID,Guzmán-Valdivia Cesar H.⁵,Mena-Enriquez Mayra G.⁶,Torres-Cantero Carlos Alberto⁷⁸^ORCID

Affiliation:

1. Exact Sciences and Methodologies Department, University of Guadalajara, Ciudad Guzmán 49000, Mexico

2. Natural and Exact Sciences Department, University of Guadalajara, Ameca 46600, Mexico

3. Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico

4. División de Estudios de Posgrado e Investigación, Tecnológico Nacional de México Campus Chihuahua, Chihuahua 31310, Mexico

5. Mechatronics Engineering Department, Polytechnic University of Aguascalientes, Aguascalientes 20342, Mexico

6. Biomedical Sciences Department, University of Guadalajara, Tonalá 45425, Mexico

7. Tecnológico Nacional de México Campus Colima, Av. Tecnológico # 1, Col. Liberación, Villa de Álvarez 28976, Mexico

8. Facultad de Ingeniería Mecánica y Eléctrica, Universidad de Colima, Carretera Colima, Coquimatlan Km 9, Valle de las Huertas, Coquimatlán 28400, Mexico

Abstract

The present paper addresses linear parameter-varying systems with high-order time-varying parameter dependency known as polynomial LPV systems and their controller design. Throughout this work, a procedure ensuring a state-feedback controller from a parameterized linear matrix inequality (PLMI) solution is presented. As the main contribution of this paper, the controller is designed by considering the time-varying parameter rate as a tuning parameter with a continuous control gain in such a way that the closed-loop eigenvalues lie in a complex plane subset, with high-order time-varying parameters defining the system dynamics. Simulation results are presented, aiming to show the effectiveness of the proposed controller design.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/22/4696/pdf

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