Active mode observability is addressed for a class of discrete-time linear systems that may switch in an unknown and unpredictable way among different modes taken from a finite set. The active mode observation problem consists in determining control sequences (discerning control sequences) that allow to reconstruct the switching sequence on the basis of the observations. The presence of unknown but bounded noises affecting both the system and measurement equations is taken into account. A general condition is derived that characterizes discerning controls in a finite-horizon setting. Such a result is extended to the infinite-horizon case in order to derive "persistently discerning" control sequences. A numerical example is reported to clarify the approach.

Active mode observability of switching linear systems / M. Baglietto; G. Battistelli; L. Scardovi. - In: AUTOMATICA. - ISSN 0005-1098. - STAMPA. - 43:(2007), pp. 1442-1449. [10.1016/j.automatica.2007.01.006]

Active mode observability of switching linear systems

BATTISTELLI, GIORGIO;
2007

Abstract

Active mode observability is addressed for a class of discrete-time linear systems that may switch in an unknown and unpredictable way among different modes taken from a finite set. The active mode observation problem consists in determining control sequences (discerning control sequences) that allow to reconstruct the switching sequence on the basis of the observations. The presence of unknown but bounded noises affecting both the system and measurement equations is taken into account. A general condition is derived that characterizes discerning controls in a finite-horizon setting. Such a result is extended to the infinite-horizon case in order to derive "persistently discerning" control sequences. A numerical example is reported to clarify the approach.
2007
43
1442
1449
M. Baglietto; G. Battistelli; L. Scardovi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/250808
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