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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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Research on Stability for Discrete-time Switched Linear Singular Systems

Research on Stability for Discrete-time Switched Linear Sing...

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2010 Chinese Control and Decision Conference

作者： Men Bo~(1,2),Yu Xinyang~3,Zhang Qingling~2 1.School of Mathematics and Systems Science,Shenyang Normal University,Shenyang 110034 2.Institute of System Sciences,Northeastern University,Shenyang 110004 3.Shenyang TV University,Shenyang 110003

The stability of discrete-time switched linear singular(DSLS) systems is studied by using multiple lyapunov functions and lyapunov *** existing criteria of stability for discrete-time switched systems are extended into DSLS *** the sufficient conditions of stability for arbitrary switching laws are ***,an illustrative example is proved to demonstrate the applicability of the proposed approach.

关键词： switched systems singular systems stability lyapunov equations multiple lyapunov functions

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