A common approach for modeling LPV systems is to interpolate between local LTI models, often obtained by system identification methods. We study the results of interpolating in different domains, the so called I/O domain and the state-space domain. It is shown that significant differences can occur between the interpolated models, due to differences in time propagation of the (scheduling) parameter. We introduce canonical representations for LPV state-space realizations similar to the LTV framework and derive exact formulas for the connection between I/O and state-space based LPV models.
|Title of host publication||Proceedings of the European Control Conference, 2-5 July 2007, Kos, Greece|
|Publication status||Published - 2007|
|Event||9th European Control Conference (ECC 2007) - Kos, Greece|
Duration: 2 Jul 2007 → 5 Jul 2007
Conference number: 9
|Conference||9th European Control Conference (ECC 2007)|
|Abbreviated title||ECC 2007|
|Period||2/07/07 → 5/07/07|
Toth, R., Felici, F., Heuberger, P. S. C., & Hof, Van den, P. M. J. (2007). Discrete time LPV I/O and state-space representations, differences of behavior and pitfalls of interpolation. In Proceedings of the European Control Conference, 2-5 July 2007, Kos, Greece (pp. 5418-5425). EUCA.