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On unknown-input functional observability of linear systems

conference contribution
posted on 2015-01-01, 00:00 authored by Reza Mohajerpoor, Hamid AbdiHamid Abdi, Saeid NahavandiSaeid Nahavandi
Finding the least possible order of a stable Unknown-Input Functional Observer (UIFO) has always been a challenge in observer design theory. A practical recursive algorithm is proposed in this technical note to design a minimal multi-functional observer for multi-input multi-output (MIMO) linear time-invariant (LTI) systems with unknown-inputs. The concept of unknown-input functional observability is introduced,
and it is used as a certificate of the convergence of our algorithm. The proposed procedure looks for a number of additional auxiliary functions to be augmented to the original functions desired for reconstruction. The resulting UIFO is proper, and minimal (of minimum possible order). Moreover, the algorithm does not need the system to be unknown-input observable. A numerical example shows the procedure as well as the effectiveness of the proposed algorithm.



American Control Conference (2015 : Chicago, Illinois)


3534 - 3539




Chicago, Illinois

Place of publication

Piscataway, N.J.

Start date


End date




Publication classification

E Conference publication; E1 Full written paper - refereed

Copyright notice

2015, IEEE

Title of proceedings

ACC 2015 : PRoceedings of the 2015 American Control Conference