Computation of rational parameter dependent Lyapunov functions for LPV systems

EasyChair Preprint no. 175

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

@Booklet{EasyChair:175,
  author = {Péter Polcz and Balázs Á. Kulcsár and Gábor Szederkényi},
  title = {Computation of rational parameter dependent Lyapunov functions for LPV systems},
  howpublished = {EasyChair Preprint no. 175},
  doi = {10.29007/9m7r},
  year = {EasyChair, 2018}}