Abstract
ABSTRACTQuick and timely fault detection is of great importance in control systems reliability. Undetected faulty sensors could result in irreparable damages. Although fault detection and isolation (FDI) methods in control systems have received much attention in the last decade, these techniques have not been applied for some classes of nonlinear systems yet. This paper deals with the issues of sensor fault detection and isolation for a class of Lipschitz uncertain nonlinear system. By introducing a coordinate transformation matrix for states and output, the original system is first divided into two subsystems. The first subsystem is affected by uncertainty and disturbance. The second subsystem just has sensor faults. The nonlinear term is separated to linear and pure nonlinear parts. For fault detection, two sliding mode observers (SMO) are designed for the two subsystems. The stability condition is obtained based on the Lyapunov approach. The necessary matrices and parameters are obtained by solving the linear matrix inequality (LMI) problem. Furthermore, two sliding mode observers are designed for fault isolation. Finally, the effectiveness of the proposed approach is illustrated by simulation examples.
Highlights
With the development of industrial systems, the complexity of control systems has increased too, requiring high accuracy and speed
Sensor fault detection and isolation for a class of Lipschitz nonlinear systems with unstructured modelling uncertainty was developed by adaptive estimation approach in [20]
The sliding mode observer is used for sensor fault estimation [24]
Summary
One of them contains uncertainty and disturbance and the second one includes sensor faults only. The sliding mode observers are designed for fault detection and isolation. Sensor fault detection and isolation of a special class of nonlinear systems, using a new technique to design new observers is considered. Two distinct motivations towards this research are, firstly there are many practical systems in use which fall in the class of nonlinear system investigated in this paper; and secondly, In spite of theoretical challenges to design sliding mode observer for FDI purpose, this technique provides high-performance results in terms of robustness against uncertainty and disturbances.
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