Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4999834 | Automatica | 2017 | 13 Pages |
Abstract
Averaging is a useful technique to simplify the analysis of switched systems. In this paper we present averaging results for the class of systems described by switched differential algebraic equations (DAEs). Conditions on the consistency projectors are given which guarantee convergence towards a non-switched averaged system. A consequence of this result is the possibility to stabilize switched DAEs via fast switching. We also study partial averaging in case the consistency projectors do not satisfy the conditions for convergence; the averaged system is then still a switched system, but is simpler than the original. The practical interest of the theoretical averaging results is demonstrated through the analysis of the dynamics of a switched electrical circuit.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Elisa Mostacciuolo, Stephan Trenn, Francesco Vasca,