Observability of Switched Linear Systems
David Gómez‐Gutiérrez, Guillermo Ramirez‐Prado, Antonio Ramírez‐Treviño, Javier Ruiz‐León · IEEE Transactions on Industrial Informatics · 2009
This work deals with finite time observability of switched linear systems (SLS) when they are represented by a family of nonautonomous linear systems (LS) and an interpreted Petri net (IPN). Based on thisSLSrepresentation, new detection of the commutation time andLSdistinguishability characterizations inSLSextended to the non autonomous case are presented. Using these results, the novel concept of distinguishability betweenLSsequences is presented and characterized. This concept together with theIPNinput-output information is used to determine theIPNmarking sequence. From the knowledge of this sequence, the conditions for the computation of the continuous state are presented. Also necessary and sufficient conditions for the observability in infinitesimal time are provided.