Loop shifting and non-conservative qLPV design

Bokor, József and Szabó, Zoltán (2014) Loop shifting and non-conservative qLPV design. ACTA POLYTECHNICA HUNGARICA, 11 (4). pp. 7-20. ISSN 1785-8860

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Abstract

As an extension of the robust H∞ theory, the time domain design based on linear matrix inequalities (LMI) is a conceptually simple and efficient framework to obtain qLPV controllers. However, the constructed scheduling variables are not always suitable for an efficient implementation. This paper investigates the possibility of constructing the scheduling block of a qLPV controller explicitly, i.e., in the form of a linear fractional transformation (LFT). It is shown here that if both the primary and dual multiplier LMI equations lead to maximal indefinite subspaces and a coupling condition holds, the problem can be solved and a constructive algorithm results to build the desired scheduling variables.

Item Type: Article
Uncontrolled Keywords: qLPV design; Robust control; Linear Fractional Transform
Subjects: Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions: Systems and Control Lab
SWORD Depositor: MTMT Injector
Depositing User: MTMT Injector
Date Deposited: 22 Sep 2014 07:26
Last Modified: 16 Feb 2016 19:47
URI: http://eprints.sztaki.hu/id/eprint/7960

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