DocumentCode :
3526994
Title :
A set simulation approach to the computation of invariant sets for nonlinear systems
Author :
Cuguero Escofet, Pep ; Saludes Closa, Jordi ; Escobet Canal, Teresa
Author_Institution :
Adv. Control Syst. (SAC) Group, Univ. Politec. de Catalunya, Terrassa, Spain
fYear :
2013
fDate :
10-13 Dec. 2013
Firstpage :
1944
Lastpage :
1949
Abstract :
Given a nonlinear discrete-time system, previous works exist that compute invariant sets as finite unions of boxes. Set inversion algorithms based on interval arithmetic are used to obtain inner approximations of the one step set starting in an invariant target set. In this paper a complementary approach based on set simulation is proposed. An invariant set can be obtained if a set trajectory that initiates in a given set, reaches this set again in a given number of steps at most. The first advantage of the proposed method is that there is no need to know an initial invariant set. The second one is that for a given system, a high convergence rate of the trajectories tends to reduce the computational effort of the method. The main disadvantage is that the algorithm does not guarantee that an invariant set is obtained. It just guarantees a response in finite time.
Keywords :
approximation theory; discrete time systems; nonlinear control systems; complementary approach; initial invariant set; inner approximations; invariant set computation; nonlinear discrete time system; set inversion algorithms; set simulation approach; Computational modeling; Convergence; Irrigation;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
ISSN :
0743-1546
Print_ISBN :
978-1-4673-5714-2
Type :
conf
DOI :
10.1109/CDC.2013.6760166
Filename :
6760166
Link To Document :
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