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

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.