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Stabilization of switched DAEs via fast switching
Author(s) -
Trenn Stephan
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610402
Subject(s) - control theory (sociology) , differential (mechanical device) , algebraic number , state (computer science) , switching time , computer science , mathematics , topology (electrical circuits) , physics , algorithm , mathematical analysis , combinatorics , control (management) , optoelectronics , artificial intelligence , thermodynamics
Abstract Switched differential algebraic equations (switched DAEs) can model dynamical systems with state constraints together with sudden structural changes (switches). These switches may lead to induced jumps and can destabilize the system even in the case that each mode is stable. However, the opposite effect is also possible; in particular, the question of finding a stabilizing switching signal is of interest. Two approaches are presented how to stabilize a switched DAE via fast switching. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)