TY - JOUR
T1 - Existence and design of observers for two-dimensional linear systems with multiple channel faults
AU - Cao, Liang
AU - Zhao, Dong
AU - Wang, Youqing
AU - Ding, Steven X.
N1 - Publisher Copyright:
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - Integrated states/faults observers for two-dimensional (2-D) linear systems, which can simultaneously estimate system states and faults, are studied in this study. Multiple channel faults, occurring in both measurement equation and state equation, are considered. On the basis of the singular system observer method and stability theory, asymptotically stable observers and uniformly ultimately bounded observers are proposed for the 2-D systems. For these two cases, constructive methods for observer design and parameter tuning are further provided. Under different system conditions, the necessary and sufficient conditions for the existence of integrated observers are derived and proved through matrix rank analysis. Finally, two examples are given to demonstrate the performance of the proposed methods.
AB - Integrated states/faults observers for two-dimensional (2-D) linear systems, which can simultaneously estimate system states and faults, are studied in this study. Multiple channel faults, occurring in both measurement equation and state equation, are considered. On the basis of the singular system observer method and stability theory, asymptotically stable observers and uniformly ultimately bounded observers are proposed for the 2-D systems. For these two cases, constructive methods for observer design and parameter tuning are further provided. Under different system conditions, the necessary and sufficient conditions for the existence of integrated observers are derived and proved through matrix rank analysis. Finally, two examples are given to demonstrate the performance of the proposed methods.
KW - Asymptotically stable observer
KW - Singular system observer
KW - States/faults estimation
KW - Two-dimensional systems
KW - Uniformly ultimately bounded observer
UR - https://www.scopus.com/pages/publications/85044749706
U2 - 10.1007/s11045-018-0574-4
DO - 10.1007/s11045-018-0574-4
M3 - 文章
AN - SCOPUS:85044749706
SN - 0923-6082
VL - 30
SP - 641
EP - 660
JO - Multidimensional Systems and Signal Processing
JF - Multidimensional Systems and Signal Processing
IS - 2
ER -