Coprime factorization of polytopic LPV systems based on a homogeneous polynomial approach

2020 ◽  
Author(s):  
Renan Lima Pereira ◽  
Karl Heinz Kienitz ◽  
Matheus Senna Oliveira
Keyword(s):  
Homogeneous Polynomial ◽  
Coprime Factorization ◽  
Lpv Systems

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

2020 ◽  
Author(s):  
Luiz Benicio Degli Esposte Rosa ◽  
Renan Lima Pereira
Keyword(s):  
Discrete Time ◽  
Special Structure ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Factorization Problem ◽  
Numerical Example ◽  
Coprime Factorization ◽  
Lpv Systems ◽  
Parameter Varying ◽  
Filtering Problem

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.

scholarly journals Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approach

2017 ◽  
Vol 106 ◽  
pp. 32-39 ◽  
Author(s):  
Daniel Silvestre ◽  
Paulo Rosa ◽  
João P. Hespanha ◽  
Carlos Silvestre
Keyword(s):  
Fault Detection ◽  
Factorization Approach ◽  
Coprime Factorization ◽  
Lpv Systems

ℋ℞ filtering of uncertain LPV systems with time-delays

2009 ◽  
Author(s):  
Corentin Briat ◽  
Olivier Sename ◽  
Jean-Francois Lafay
Keyword(s):  
Time Delays ◽  
Lpv Systems

The range of block Hankel operators

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3237-3243
Author(s):  
In Hwang ◽  
In Kim ◽  
Sumin Kim
Keyword(s):  
Hardy Space ◽  
Invariant Subspace ◽  
Hankel Operators ◽  
Coprime Factorization ◽  
Backward Shift ◽  
Vector Valued

In this note we give a connection between the closure of the range of block Hankel operators acting on the vector-valued Hardy space H2Cn and the left coprime factorization of its symbol. Given a subset F ? H2Cn, we also consider the smallest invariant subspace S*F of the backward shift S* that contains F.

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