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Diagnosis of discrete-time singularly perturbed systems based on slow subsystem

Tellili A., Abdelkrim N., Jaouadi B., Abdelkrim M. N.

Acta Mechanica et Automatica

2014

Vol. 8, no. 4

175--180

This paper deals with the diagnosis of discrete-time singularly perturbed systems presenting two time scales property. Parity space method is considered to generate the fault detection residual. The focus is in two directions. First, we discuss the residual illconditioning caused by the singular perturbation parameter. Then, the use of the slow subsystem is considered to make the fault diagnosis easier. It is shown that the designed diagnostic algorithm based on reduced order model is close to the one synthesized using the full order system. The developed approach aims at reducing the computational load and the ill-conditioning for stiff residual generation problem. Two examples of application are used to demonstrate the efficiency of the proposed method.

Performance evaluation based fault tolerant control with actuator saturation avoidance

Boussaid B., Aubrun C., Abdelkrim M. N., Ben Gayed M. K.

International Journal of Applied Mathematics and Computer Science

2011

Vol. 21, no. 3

457-466

In this paper, a new approach regarding a reconfigured system is proposed to improve the performance of an active fault tolerant control system. The system performance is evaluated with an intelligent index of performance. The reconfiguration mechanism is based on a model predictive controller and reference trajectory management techniques. When an actuator fault occurs in the system, a new degraded reference trajectory is generated and the controller calculates new admissible controls. A constraint set and cost function are established to avoid actuator saturation and reduce the control energy spent in closed loop dynamics. The effectiveness of the proposed method is illustrated using a hydrothermal system subject to actuator faults and constraints on actuator dynamic ranges.