Computation of rational parameter dependent Lyapunov functions for LPV systems
Péter Polcz, Balaźs Kulcsár, Gábor Szederkényi · EasyChair preprint · 2018
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.