Chapter 6
Robust Fault Detection for Multi-model
Jumping System
In this part, the robust filter and observer-based fault detection (FD) issues are respectively designed for multi-model jumping system with time-delays and uncertainties.
Generally, due to the ever-growing demands on security, product quality and low
maintenance expense in modern industrial engineering, the existence of faults renders the responsibility and the safety of the system is severely destroyed.
In FD schemes, the model-based methods have drown much attention and many
achieved results are available [254–256]. One of the primary problems in regard to
model-based FD is the filter/observer-based scheme, which can embody the robustness of the concerned systems. The common approach of model-based FD method
is to generate a residual signal and establish a residual evaluation function. If the
values of the residual evaluation function exceed the pre-given threshold, an alarm
of faults will be generated.
Firstly, we study the robust FD filter design problems for multi-model jumping system with time-delays and uncertainties. Recurring to the provided weighting
matrix function, the devise intention is to obtain an optimal robust H ∞ FD filter that
can decrease the gap between the reference model and the robust FD filter.
Then, the observer-based FD problem is studied for multi-model jumping system.
Employing the H ∞ and H _ performance index, a multi-objective strategy of the FD
problem is formed. By LMIs techniques, sufficient conditions on the existence of
the robust FD filter/observer are exhibited and proved. Finally, simulation results
illustrate that the proposed robust FD filter/observer can detect the faults after the
occurrences in the absence of any false alarm.
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
S. He and X. Luan, Multi-model Jumping Systems: Robust Filtering and Fault Detection,
https://doi.org/10.1007/978-981-33-6474-5_6
95
Robust Fault Detection for Multi-model
Jumping System
In this part, the robust filter and observer-based fault detection (FD) issues are respectively designed for multi-model jumping system with time-delays and uncertainties.
Generally, due to the ever-growing demands on security, product quality and low
maintenance expense in modern industrial engineering, the existence of faults renders the responsibility and the safety of the system is severely destroyed.
In FD schemes, the model-based methods have drown much attention and many
achieved results are available [254–256]. One of the primary problems in regard to
model-based FD is the filter/observer-based scheme, which can embody the robustness of the concerned systems. The common approach of model-based FD method
is to generate a residual signal and establish a residual evaluation function. If the
values of the residual evaluation function exceed the pre-given threshold, an alarm
of faults will be generated.
Firstly, we study the robust FD filter design problems for multi-model jumping system with time-delays and uncertainties. Recurring to the provided weighting
matrix function, the devise intention is to obtain an optimal robust H ∞ FD filter that
can decrease the gap between the reference model and the robust FD filter.
Then, the observer-based FD problem is studied for multi-model jumping system.
Employing the H ∞ and H _ performance index, a multi-objective strategy of the FD
problem is formed. By LMIs techniques, sufficient conditions on the existence of
the robust FD filter/observer are exhibited and proved. Finally, simulation results
illustrate that the proposed robust FD filter/observer can detect the faults after the
occurrences in the absence of any false alarm.
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
S. He and X. Luan, Multi-model Jumping Systems: Robust Filtering and Fault Detection,
https://doi.org/10.1007/978-981-33-6474-5_6
95