TY - GEN
T1 - Revisiting the necessary condition for the existence of Luenberger observer
AU - Yuan, Yanhua
AU - Yan, Zhibin
N1 - Publisher Copyright:
© 2015 Technical Committee on Control Theory, Chinese Association of Automation.
PY - 2015/9/11
Y1 - 2015/9/11
N2 - In the research field of observer design, one necessary and sufficient condition for the existence of Luenberger observer is widely cited as a fundamental theorem. In 1972, Fortmann and Williamson gave an earliest statement and proof of this theorem. The proof, in essentially unchanged form, was written in all books. We point out that this proof is not rigorous in that it neglected the couple relation between the state to be observed and the input term due to control in the error dynamical equation. A strict proof is given by elegantly choosing control input signal, which deals with the coupling between states and inputs skillfully. Other related problems are also discussed using this skill.
AB - In the research field of observer design, one necessary and sufficient condition for the existence of Luenberger observer is widely cited as a fundamental theorem. In 1972, Fortmann and Williamson gave an earliest statement and proof of this theorem. The proof, in essentially unchanged form, was written in all books. We point out that this proof is not rigorous in that it neglected the couple relation between the state to be observed and the input term due to control in the error dynamical equation. A strict proof is given by elegantly choosing control input signal, which deals with the coupling between states and inputs skillfully. Other related problems are also discussed using this skill.
KW - Luenberger observers
KW - Unknown input observers
UR - https://www.scopus.com/pages/publications/84946562433
U2 - 10.1109/ChiCC.2015.7259661
DO - 10.1109/ChiCC.2015.7259661
M3 - 会议稿件
AN - SCOPUS:84946562433
T3 - Chinese Control Conference, CCC
SP - 342
EP - 346
BT - Proceedings of the 34th Chinese Control Conference, CCC 2015
A2 - Zhao, Qianchuan
A2 - Liu, Shirong
PB - IEEE Computer Society
T2 - 34th Chinese Control Conference, CCC 2015
Y2 - 28 July 2015 through 30 July 2015
ER -