Sliding Mode Observer-Based Fault Detection in Continuous Time Linear Switched Systems

Abstract

This paper studies the problem of fault detection for continuous time linear switched systems in the presence of disturbance. For this purpose, a fault detection sliding mode observer approach is designed to generate the residual signal. To minimize the effect of disturbance from the residual, the problem is formulated into H∞ filtering technique to increase more robustness. To deal with the issue of the switched systems stability, the Lyapunov-Krasovskii functional method is utilized along with average dwell time, and linear matrix inequalities are formulated to derive the sufficient conditions. The residual signal is evaluated, and an adaptive threshold is computed for both modes of the switched system. Finally, a simulation example for a case study of boost converter and a numerical example with both abrupt and incipient faults are illustrated to prove the efficacy of the proposed method.

On the Sliding Mode Control Applied to a DC-DC Buck Converter

“…One can take z 2 as given in (17), and its derivative is described in (18), where again the second derivative of the desired voltage is included simply to have an equation that may consider this voltage as variable.…”

“…These problems can be mitigated by applying non-linear control methods, which improve transient response. Some of the currently applied non-linear control methods are, for example, optimal control [3], model predictive control (MPC) [1], neuronal network, extended state observer based control [8], fuzzy logic control (FLC) [7,9], passivity-based control [12], sliding mode control (SMC) [16], twisting based SMC [6,11] and sliding mode observer [17]. In this paper, it is shown that the DC-DC buck converter is highly effective for DC voltage regulation, and the desired voltage output is ensured by implementing an SMC considering three different cases of the control law.…”

Robust sensor faults observer design for continuous-time switched systems using descriptor approach

“…More recently, the problem of Fault Diagnosis and Identification has attracted more and more attention in both industry and academic communities due to the increasing demand for safety and reliability in a wider engineering application and several research papers on this subject have been published. [12][13][14][15][16][17][18][19][20]. For example, in [12] a robust state estimation and actuator fault detection has been developed for a class of uncertain switched systems using the Average Dwell Time (ADT) concept.…”

“…In [19], the adaptive actuator and sensor fault estimation observer issue has been investigated for continuous-time switched systems despite the measurement disturbances. A robust sliding mode observer-based fault detection for a boost converter was considered in [20] by using the ADT concept with respect H ∞ performance index to minimize disturbance effect from residual signal and a Lyapunov functional technique is also used for switched systems stability.…”