Discrete-time Left-coprime Factors for LPV/LFR Systems

Luiz Benicio  Degli Esposte Rosa; Renan  Lima Pereira

doi:10.48011/asba.v2i1.1562

Luiz Benicio Degli Esposte Rosa Instituto Tecnológico de Aeronáutica
Renan Lima Pereira Instituto Tecnológico de Aeronáutica

DOI: https://doi.org/10.48011/asba.v2i1.1562

Keywords: Discrete-time LPV systems, Linear fractional representation, Left-coprime factorization, LMIs

Abstract

This paper presents novel LMI-based conditions to address the discrete-time left-coprime factorization problem for linear parameter-varying (LPV) systems using linear fractional representation (LFR). The conditions have been derived using a special structure for the output injection approach, which from a given observation law allows us to synthesize left-coprime factors via the H2 filtering problem. An important characteristic of the proposed method is the ability to recover the normalized coprime factorization notion as a particular case. A numerical example demonstrates the effectiveness of the proposed conditions in comparison to similar approaches.