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Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems

International Journal of Automation and computing 2018年第6期15卷 736-746页

作者： Adel Tellili Nouceyba Abdelkrim amina challouf Mohamed Naceur Abdelkrim Research Unit MACS University of Gabes Gabes Tunisia Higher Institute of Industrial Systems at Gabes University of Gabes Gabes Tunisia Higher Institute of Technological Studies at Djerba Djerba Tunisia National School of Engineers of Gabes University of Gabes Gabes Tunisia

This paper studies the fault tolerant control, adaptive approach, for linear time-invariant two-time-scale and three-time-scale singularly perturbed systems in presence of actuator faults and external disturbances. First, the full order system will be controlled using v-dependent control law. The corresponding Lyapunov equation is ill-conditioned due to the presence of slow and fast phenomena. Secondly, a time-scale decomposition of the Lyapunov equation is carried out using singular perturbation method to avoid the numerical stiffness. A composite control law based on local controllers of the slow and fast subsystems is also used to make the control law ε-independent. The designed fault tolerant control guarantees the robust stability of the global closed-loop singularly perturbed system despite loss of effectiveness of actuators. The stability is proved based on the Lyapunov stability theory in the case where the singular perturbation parameter is sufficiently small. A numerical example is provided to illustrate the proposed method.

关键词： Singularly perturbed systems time scale decomposition adaptive fault tolerant control actuator fault Lyapunov equations

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Robust Adaptive FTC against Sensor Fault

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Computer Technology and Application 2012年第1期3卷 56-68页

作者： amina challouf Christophe Aubrun Adel Tellili Mohamed Naceur Abdelkrim Unite de Recherche. Modelisation Analyse et Commande de Systemes （MACS） Ecole Nationale d＇Ingenieurs de Gabes （ENIG） Facultes des Sciences et Techniques Centre de Recherche en Automatique de Nancy （CRAN） Nancy-University CNRS UMR 7039 France Institute Superieure des Etudes Technologiques de Djerba （ISET） Universite de Gabes Gabes 6029 Tunisia

This paper addresses the problem of robust Fault-Tolerant （FT） design for large-scale systems. This particular class constitutes complex system which can be decomposed into N-interconnected subsystems. Special attention is paid to two different design architectures of an Active Fault-Tolerant Control （AFTC）. An AFTCS is characterized by an online Fault Detection and Isolation （FDI） process and a control reconfiguration mechanism. As the AFTC system offers the possibility to choose different controllers, the controller may be the most appropriate choice for the faulty situation and obtaining better performance. The goal of each adaptive controller is to accommodate sensor anomalies. Continuous, Linear and Time Invariant （LTI） complex system with faulty sensors and external disturbances is proposed. This study focuses on two different internal structures of the system. In this paper the direct adaptive method based on feedback controller design is applied both centralized and decentralized architectures. The controller gain is updated online using an adaptive law which takes into account the estimation of the faults and the disturbances. Then from the both classes of systems structures the adaptation controller performances, in terms of stability and fault effect rejection capability, are studied and compared. The proposed techniques are finally evaluated in the light of a simulation for a centralized interconnected system that can be decomposed into N-subsystems with some strong interconnections.

关键词： Adaptive control centralized control complex system decentralized control fault-tolerant control (FTC),N-Interconnected subsystems robust control sensor failure.

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