H∞ Robust State Feedback Sampled-Data Control of Interval Linear Systems

Rafael  M. Alves; André R. Fioravanti; Matheus  Souza

doi:10.48011/asba.v2i1.1578

Rafael M. Alves School of Electrical and Computer Engineering, University of Campinas
André R. Fioravanti School of Mechanical Engineering, University of Campinas
Matheus Souza School of Electrical and Computer Engineering, University of Campinas

DOI: https://doi.org/10.48011/asba.v2i1.1578

Keywords: Robust control, Lybrid systems, Sampled-data systems, Interval uncertainty, H∞ control

Abstract

In this paper, we address the H∞ control problem for uncertain sampled-data systems rewritten as hybrid systems. The conditions proposed are formulated as intervals to ensure stability and design controllers that guarantee an upper bound for an associated H∞ norm. A numerical example points out the main features of the proposed method.