TY - GEN
T1 - Observation of linear time-invariant systems with Lebesgue sampling
AU - Moreno, Jaime A.
AU - Betancur, Manuel J.
AU - Tamayo, Martín A.
PY - 2010
Y1 - 2010
N2 - The usual methods for state estimation of a continuous time system require the precise value of the output variable at all instants of time, or at equally spaced sampling instants. In this work an estimation technique is introduced for Linear Time Invariant (LTI) systems, when the only information on the output variable consists of the time instants at which it has reached certain fixed threshold value. This is motivated by the fact that these measurements can be easily obtained with robust and inexpensive binary sensors (detectors). It is shown that, theoretically, and despite of the scarcity of the information given by the detectors, it is possible to reconstruct, after a finite number of samples, the exact value of the state variable. This is true for almost every sampling time sequence, even if the Shannon sampling theorem is not satisfied.
AB - The usual methods for state estimation of a continuous time system require the precise value of the output variable at all instants of time, or at equally spaced sampling instants. In this work an estimation technique is introduced for Linear Time Invariant (LTI) systems, when the only information on the output variable consists of the time instants at which it has reached certain fixed threshold value. This is motivated by the fact that these measurements can be easily obtained with robust and inexpensive binary sensors (detectors). It is shown that, theoretically, and despite of the scarcity of the information given by the detectors, it is possible to reconstruct, after a finite number of samples, the exact value of the state variable. This is true for almost every sampling time sequence, even if the Shannon sampling theorem is not satisfied.
KW - Detections
KW - Discrete event systems
KW - Finite state machines (FSM)
KW - Linear systems
KW - State estimation
UR - https://www.scopus.com/pages/publications/79952089265
U2 - 10.1109/ANDESCON.2010.5633572
DO - 10.1109/ANDESCON.2010.5633572
M3 - Ponencia publicada en las memorias del evento con ISBN
AN - SCOPUS:79952089265
SN - 9781424467419
T3 - 2010 IEEE ANDESCON Conference Proceedings, ANDESCON 2010
BT - 2010 IEEE ANDESCON Conference Proceedings, ANDESCON 2010
T2 - 2010 IEEE ANDESCON Conference, ANDESCON 2010
Y2 - 14 September 2010 through 17 September 2010
ER -