Induced L2-gain computation for rational LPV systems using Finsler's lemma and minimal generators
Journal article, 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
Author
Peter Polcz
Pázmány Péter Catholic University
Tamas Peni
Hungarian Academy of Sciences
Balázs Adam Kulcsár
Chalmers, Electrical Engineering, Systems and control
Gabor Szederkenyi
Pázmány Péter Catholic University
Hungarian Academy of Sciences
Systems and Control Letters
0167-6911 (ISSN)
Vol. 142 104738OPerational Network Energy managemenT for electrified buses (OPNET)
Swedish Energy Agency (46365-1), 2018-10-01 -- 2021-12-31.
Areas of Advance
Transport
Subject Categories
Computational Mathematics
Robotics
Control Engineering
DOI
10.1016/j.sysconle.2020.104738