Induced L2-gain computation for rational LPV systems using Finsler's lemma and minimal generators
Artikel i vetenskaplig tidskrift, 2020
gain for a linear parameter varying (LPV) system with rational parameter dependence.
The proposed method relies on a standard dissipation inequality condition. The
storage function is a quadratic function of the state and a rational function of the
parameters. The specific parameter dependence is restricted to involve (fixed) rational
functions and an affine term with free decision variables. Finsler's lemma and affine
annihilators are used to formulate sufficient linear matrix inequality (LMI) conditions for
the dissipativity relation. The dimension and conservatism of the resulting LMI problem
are reduced by the joint application of minimal generators and maximal annihilators. An
LPV model of a pendulum-cart system is used to demonstrate the proposed method
and compare it to existing techniques in the literature.
induced L2 gain
linear fractional transformation
rational Lyapunov function
Linear parameter varying systems
Stability
Författare
Peter Polcz
Pázmány Péter Katolikus Egyetem
Tamas Peni
Magyar Tudomanyos Akademia
Balázs Adam Kulcsár
Chalmers, Elektroteknik, System- och reglerteknik
Gabor Szederkenyi
Pázmány Péter Katolikus Egyetem
Magyar Tudomanyos Akademia
Systems and Control Letters
0167-6911 (ISSN)
Vol. 142 104738Optimal energihantering för nätverk av elektrifierade bussar (OPNET)
Energimyndigheten (46365-1), 2018-10-01 -- 2021-12-31.
Styrkeområden
Transport
Ämneskategorier
Beräkningsmatematik
Robotteknik och automation
Reglerteknik
DOI
10.1016/j.sysconle.2020.104738