Computation of rational parameter dependent Lyapunov functions for LPV systems

EasyChair Preprint 175

3 pages•Date: May 27, 2018

Péter Polcz, Balázs Á. Kulcsár and Gábor Szederkényi

Abstract

In this contribution, we present a computational method for the global stability analysis of linear parameter varying systems under rational parameter dependence. Using the linear fractional representation (LFR) of the system equation, we generate a set of rational basis functions, which will give the structure for the parameterized rational Lyapunov function. Based on the earlier results of Trofino and Dezuo (2013), affine parameter dependent linear matrix inequalities (LMIs) are formulated to ensure the Lyapunov conditions and hence asymptotic stability.

Keyphrases: LMI, Lyapunov functions, global stabily, linear parameter varying systems

Links:	https://easychair.org/publications/preprint/8Td4
	https://doi.org/10.29007/9m7r

BibTeX entry

BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:

@booklet{EasyChair:175,
  author    = {Péter Polcz and Balázs Á. Kulcsár and Gábor Szederkényi},
  title     = {Computation of rational parameter dependent Lyapunov functions for LPV systems},
  doi       = {10.29007/9m7r},
  howpublished = {EasyChair Preprint 175},
  year      = {EasyChair, 2018}}

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