On the fault diagnosis of uncertain singularly perturbed systems

Abstract

This work aims at the fault diagnosis of two-timescale, singularly perturbed systems (SPSs) and SPSs with a multimodelling structure. The approach of model-based fault detection and isolation using the dynamic parity space to generate singular perturbation parameter free residuals was used. A comparative study of diagnosis of the SPS is carried out considering, in the first case, the SPS as an uncertain system with parameter uncertainties and using, in the second case, the slow subsystem for fault detection and isolation. The results are applied to a power system.

A bond graph model of a singularly perturbed LTI MIMO system with a slow state estimated feedback

“…16 Several alternative techniques for system order reduction based on system balancing by employing the method of singular perturbation are proposed in Zoran Gajic. 17 The fault diagnosis of two-time-scale, singularly perturbed systems and singularly perturbed systems with a multimodelling structure are given in Tellili et al 18 Bond graph deals with a graphical approach to system modelling. It can represent many energy types and describes how the power flows through the system.…”

Fault Diagnosis and Reconfigurable Control of Singularly Perturbed Systems using GIMC Structure

“…Controller design for such systems often suffers from high dimensionality and illconditioning, it is considerably simplified if a decomposition of fast and slow dynamics can be achieved [1,2,3,4,5]. Those systems, like other automated systems, are vulnerable to faults which must be detected and isolated; when a fault occurs in the system, the controller, the sensor or in the actuator, it can be amplified by the closed-loop control systems, and causes malfunction of the loop [6,7,8,9,10]. In order to overcome the limitation of conventional feedback, fault tolerant control systems are implemented in order to tolerate the presence of faults [11,12].…”