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Artigo em periódicoOpen Access

Systematic LMI approaches to design multivariable sliding mode controllers for uncertain systems

COUTINHO, Pedro Henrique Silva2026COUTINHO, Pedro Henrique Silva; BESSA, Iury Valente; RODRIGUES, Victor Hugo Pereira; OLIVEIRA, Tiago Roux

2026 • Automatica • 1 citações

Resumo

Resumo

This paper deals with sliding mode control for multivariable polytopic uncertain systems. We provide systematic procedures to design variable structure controllers (VSCs) and unit-vector controllers (UVCs). Based on suitable representations for the closed-loop system, we derive sufficient conditions in the form of linear matrix inequalities (LMIs) to design the robust sliding mode controllers such that the origin of the closed-loop system is globally stable in finite time. Moreover, by noticing that the reaching time depends on the initial condition and the decay rate, we provide convex optimization problems to design robust controllers by considering the minimization of the reaching time associated with a given set of initial conditions. Two examples illustrate the effectiveness of the proposed approaches. Key words: Sliding mode control; Discontinuous control; Robust control; Convex optimization; Multivariable systems.

Autoria

Autores do grupo (2)

A lista completa de autores está no topo da página. Abaixo, apenas os pesquisadores do e-Controls vinculados a esta publicação.

Pedro Henrique Silva Coutinho

Pedro Henrique Silva Coutinho

Pesquisador

Iury Valente de Bessa

Iury Valente de Bessa

Líder

palavras-chave

Palavras-chave

sliding mode controlmultivariable systemsuncertain systemsfinite-time stabilityfinite-time trackinglinear matrix inequalitiessemidefinite programmingrobust controlconvex optimization

Volume

185

Páginas

112747

Editora

Elsevier BV

Status

Published

links

DOI

10.1016/j.automatica.2025.112747

Link Externo

https://doi.org/10.1016/j.automatica.2025.112747

Repositório

http://arxiv.org/abs/2411.10592

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