Title :
Accurate approximation of the largest null-controllable set for single-input bilinear systems
Author :
Schulze Darup, Moritz ; Monnigmann, Martin
Author_Institution :
Dept. of Mech. Eng., Ruhr-Univ. Bochum, Bochum, Germany
Abstract :
We present a method for the accurate approximation of the largest null-controllable set N∞ for constrained bilinear systems. It is central to the presented approach that a simple quantitative measure of the accuracy of approximation can be determined. This measure can be used as a termination criterion for an iterative approximation of N∞ with step sets. If the termination criterion is met, the proposed method results in an inner approximation of N∞ that covers a requested percentage of N∞.
Keywords :
approximation theory; bilinear systems; controllability; iterative methods; set theory; constrained bilinear systems; iterative approximation; largest null-controllable set approximation; simple quantitative measure; single-input bilinear systems; termination criterion; Accuracy; Approximation algorithms; Approximation methods; Binary trees; Linear systems; Nickel; Nonlinear systems;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760493
