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Simultaneous observation of linear systems: a state-space interpretation

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1 Author(s)
J. A. Moreno ; Inst. de Ingenieria, Univ. Nacional Autonoma de Mexico, Mexico City, Mexico

Necessary and sufficient conditions for the existence of a simultaneous functional observer for several linear time-invariant (LTI) systems are derived using distinguishability concepts, that generalize the detectability concept for a single system. They generalize also the known results. A structure for common functional observers is proposed, and for two systems, or for several systems without inputs, the problem can be constructively solved. A relationship between the simultaneous observation problem and the existence of unknown input observers is established.

Published in:

IEEE Transactions on Automatic Control  (Volume:50 ,  Issue: 7 )