7 papers
On the equivalence between functionally affine LPV state-space representations and LFT models
Mihály Petreczky, Ziad Alkhoury, Guillaume Mercère
We propose a transformation algorithm for a class of Linear Parameter-Varying (LPV) systems with functional affine dependence on parameters, where the system matrices depend affine…
Minimal realizations of input-output behaviors by LPV state-space representations with affine dependency
Mihály Petreczky, Roland Tóth, Guillaume Mercère
The paper makes the first steps towards a behavioral theory of LPV state-space representations with an affine dependency on scheduling, by characterizing minimality of such state-s…
Computation of the State Bias and Initial States for Stochastic State Space Systems in the General 2-D Roesser Model Form
José A. Ramos, Guillaume Mercère
Recently \cite{Ramos2017a} presented a subspace system identification algorithm for 2-D purely stochastic state space models in the general Roesser form. However, since the exact p…
Comparing global input-output behavior of frozen-equivalent LPV state-space models
Ziad Alkhoury, Mihály Petreczky, Guillaume Mercère
It is known that in general, \emph{frozen equivalent} (Linear Parameter-Varying) LPV models, \emph{i.e.}, LPV models which have the same input-output behavior for each constant sch…
Structural properties of LPV to LFR transformation: minimality, input-output behavior and identifiability
Ziad Alkhoury, Mihály Petreczky, Guillaume Mercère
In this paper, we introduce and study important properties of the transformation of Affine Linear Parameter-Varying (ALPV) state-space representations into Linear Fractional Repres…
Prior knowledge and Markov parameters of linear time-invariant models
Guillaume Mercère
In many practical cases, the engineer has access to prior knowledge like rough values of the DC-gain or the main time constant of the system. In order to improve the accuracy of su…