This article proposes a fault-tolerant control (FTC) strategy based on virtual actuator and sensor for discrete-time descriptor systems subject to actuator and sensor faults. The fault-tolerant closed-loop system, which includes the nominal controller and observer, as well as the virtual actuator and the virtual sensor, hides the effects of faults. When an observer-based state-feedback law is considered, the existence of algebraic loop may prevent the practical implementation due to the current algebraic states depending on the current control input, that affects also the implementation of the virtual actuator/sensor. To deal with this issue, an observer-based delayed feedback controller and a delayed virtual actuator are proposed for discrete-time descriptor systems. Furthermore, the satisfaction of the separation principle is shown, and an improved admissibility condition is developed for the design of the controller and virtual actuator/sensor. Finally, some simulation results including an electrical circuit are used to demonstrate the applicability of the proposed methods. ; This work was supported by the Fundamental Research Funds for the Central University under Grant 3072020CFJ040. This work was also partially funded by the Spanish State Research Agency (AEI) and the European Regional Development Fund (ERFD) through the project SCAV (ref. MINECO DPI2017-88403-R), by the DGR of Generalitat de Catalunya (SAC group ref. 2017/SGR/482) and by SMART Project (ref. num. EFA153/16 Interreg Cooperation Program POCTEFA 2014-2020). ; Peer reviewed


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    Title :

    Fault-Tolerant Control Based on Virtual Actuator and Sensor for Discrete-Time Descriptor Systems



    Publication date :

    2020-12-01


    Remarks:

    1558-0806



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629



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