Passivity analysis of rational LPV systems using Finsler's lemma
Paper i proceeding, 2019

An optimization based systematic passivity analysis procedure and an output projection is proposed in this paper for asymptotically stable linear parameter varying (LPV) systems in the linear fractional representation (LFR) form having at least as many independent output signals as input
signals. The storage function is searched in a quadratic form with a symmetric rational parameter dependent matrix. In order to form a square system and then to satisfy the Kalman-Yakubovich-Popov (KYP) properties, a parameter dependent output projection matrix is searched in the LFR form. The nonlinear parameter dependence from the linear matrix inequality (LMI) and equality (LME) conditions provided by the KYP lemma is factorized out using the linear fractional transformation(LFT). Then, Finsler’s lemma and affine annihilators are used to relax the sufficient affine parameter dependent LMI and LME conditions. As an application example, stable system inversion is addressed and demonstrated on a benchmark rational LPV model.


Peter Polcz

Pázmány Péter Katolikus Egyetem

Balázs Adam Kulcsár

Chalmers, Elektroteknik, System- och reglerteknik, Reglerteknik

Tamas Peni

Magyar Tudomanyos Akademia

Gabor Szederkenyi

Pázmány Péter Katolikus Egyetem

Proceedings of the IEEE Conference on Decision and Control

07431546 (ISSN)

Vol. 2019-December 3793-3798 9029877
978-172811398-2 (ISBN)

58th IEEE Conference on Decision and Control, CDC 2019
Nice, France,




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