On some relaxations commonly used in the study of linear systems

Title:

On some relaxations commonly used in the study of linear systems

Creator:

Bachelier, Olivier and Mehdi, Driss

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6a117ae8-8b12-4e6b-9d29-485613ac715f
uuid:6a117ae8-8b12-4e6b-9d29-485613ac715f

Subject:

LMI relaxations, robust analysis, and parametric uncertainty

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This note proposes a quite general mathematical proposition which can be a starting point to prove many well-known results encountered while studying the theory of linear systems through matrix inequalities, including the S-procedure, the projection lemma and few others. Moreover, the problem of robustness with respect to several parameter uncertainties is revisited owing to this new theorem, leading to LMI (Linear Matrix Inequality)-based conditions for robust stability or performance analysis with respect to ILFR (Implicit Linear Fractional Representation)-based parametric uncertainty. These conditions, though conservative, are computationally very tractable and make a good compromise between conservatism and engineering applicability.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[830]-855

Source:

Kybernetika | 2015 Volume:51 | Number:5

Harvested from:

CDK

Metadata only:

false