2017
DOI: 10.1016/j.automatica.2017.06.006
|View full text |Cite
|
Sign up to set email alerts
|

From structurally independent local LTI models to LPV model

Abstract: The local approach to linear parameter varying (LPV) system identification consists in interpolating individually estimated local linear time invariant (LTI) models corresponding to fixed values of the scheduling variable. It is shown in this paper that, without any global structural assumption of the considered LPV system, individually estimated local state-space LTI models do not contain su cient information for determining similarity transformations making them coherent. It is possible to estimate these sim… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
4
1

Year Published

2018
2018
2023
2023

Publication Types

Select...
4
2

Relationship

1
5

Authors

Journals

citations
Cited by 13 publications
(5 citation statements)
references
References 15 publications
0
4
1
Order By: Relevance
“…It is thus (implicitly) assumed that a collection of local models are "coherent" if they are in the same canonical form. This assumption is obviously in contradiction with the aforementioned result reported in [22]. Nevertheless, satisfactory results have been reported in the above cited examples.…”
Section: Tolerance To Lack Of Coherencecontrasting
confidence: 71%
See 4 more Smart Citations
“…It is thus (implicitly) assumed that a collection of local models are "coherent" if they are in the same canonical form. This assumption is obviously in contradiction with the aforementioned result reported in [22]. Nevertheless, satisfactory results have been reported in the above cited examples.…”
Section: Tolerance To Lack Of Coherencecontrasting
confidence: 71%
“…It was shown in the last section that, for most practically significant LPV systems, Definition 2 is the only relevant definition of coherent local models. It is then important to recall that, as reported in [22], without any global structural assumption, locally estimated LTI models do not contain sufficient information to make themselves coherent, in the sense of Definition 2.…”
Section: Tolerance To Lack Of Coherencementioning
confidence: 99%
See 3 more Smart Citations