Design and Implementation of a Discrete-PDC Controller for Stabilization of an Inverted Pendulum on a Self-Balancing Car Using a Convex Approach

Autor: Yasmani González-Cárdenas, Francisco-Ronay López-Estrada, Víctor Estrada-Manzo, Joaquin Dominguez-Zenteno, Manuel López-Pérez
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematical and Computational Applications, Vol 29, Iss 5, p 83 (2024)
Druh dokumentu: article
ISSN: 2297-8747
1300-686X
DOI: 10.3390/mca29050083
Popis: This paper presents a trajectory-tracking controller of an inverted pendulum system on a self-balancing differential drive platform. First, the system modeling is described by considering approximations of the swing angles. Subsequently, a discrete convex representation of the system via the nonlinear sector technique is obtained, which considers the nonlinearities associated with the nonholonomic constraint. The design of a discrete parallel distributed compensation controller is achieved through an alternative method due to the presence of uncontrollable points that avoid finding a solution for the entire polytope. Finally, simulations and experimental results using a prototype illustrate the effectiveness of the proposal.
Databáze: Directory of Open Access Journals