Galambos, Péter (Óbuda University)
Application-oriented Polytopic System Modelling
and Controller Design
Regulation of
parameter-varying and nonlinear dynamics renders serious
problem in various fields of engineering from mechanical systems to
Information technology. Our small team has long been working on elaborating a
special branch of polytopic modelling techniques that
may leads to a powerful toolkit for solving real-world problems.
Polytopic modelling of parameter dependencies
provides an opportunity to design suboptimal state and output feedback.
Furthermore, using this technique the uncertainty of the models can also be taken into account. The approach is based on Lyapunov’s
indirect method and during the last decades, various Lyapunov-function
candidates were elaborated according to the practical demands such as
time-delay and other specialties of the systems.
Through polytopic
tensor-product models we are able to describe the
parameter dependencies separately, allowing to handle their properties in a
unified way independently of their measured/estimated or time invariant nature.
The goal is to construct methods that apply different approaches for the
parameter dependencies according to their properties. Another important goal is
the automatic determination of these polytopic models
from the LPV description.
The most important drawback of these methods compared to the
norm-bounded uncertainty techniques (and a great challenge for mathematicians)
is that - despite of the serious effort of the past
years – we have no efficient optimization method to solve robust output
feedback problem on polytopic models. …
The talk is held in Hungarian!
Az előadás magyar nyelven lesz megtartva!
Date: Nov 28, Tuesday 4:15pm
Place: BME, Building „Q”, Room QBF13