Stochastic stability analysis of fault-tolerant control systems in the presence of noise

Mahmoud, M.; Jiang, Jin; Zhang, Youmin

doi:10.1109/9.964697

Cited by 79 publications

(28 citation statements)

References 9 publications

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“…As remarked by [372], despite much work has been done, e.g. [191], stability analysis and stability robustness for real-time reconfigurable control systems in practical environments still need further investigation.…”

Section: Recent Developments Of Fault Tolerant Controlmentioning

confidence: 99%

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Rotondo¹

2018

Springer Theses

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This thesis presents some contributions to the state-of-the-art of the fields of gainscheduling and fault tolerant control (FTC).In the area of gain-scheduling, the connections between the linear parameter varying (LPV) and Takagi-Sugeno (TS) paradigms are analyzed, showing that the methods for the automated generation of models by nonlinear embedding and by sector nonlinearity, developed for one class of systems, can be easily extended to deal with the other class. Then, two measures, based on the notions of overboundedness and region of attraction estimates, are proposed in order to compare different models and choose which one can be considered the best one. Later, the problem of designing state-feedback controllers for LPV systems has been considered, providing two main contributions. First, robust LPV controllers that can guarantee some desired performances when applied to uncertain LPV systems are designed, by using a double-layer polytopic description that takes into account both the variability due to the varying parameter vector and the uncertainty. Then, the idea of designing the controller in such a way that the required performances are scheduled by the varying parameters is explored, which provides an elegant way to vary online the behavior of the closed-loop system. In both cases, the problem reduces to finding a solution to a finite number of linear matrix inequalities (LMIs), which can be done efficiently using the available solvers.In the area of fault tolerant control, the thesis first shows that the aforementioned double-layer polytopic framework can be used for FTC, in such a way that different strategies (passive, active and hybrid) are obtained depending on the amount of available information. Later, an FTC strategy for LPV systems that involves a reconfigured reference model and virtual actuators is developed. It is shown that by including the saturations in the reference model equations, it is possible to design a model reference FTC system that automatically retunes the reference states whenever the system is affected by saturation nonlinearities. In this way, a graceful performance degradation in presence of actuator saturations is incorporated in an elegant way. Finally, the problem of FTC of unstable LPV systems subject to actuator saturations is considered. In this case, the design of the virtual actuator is performed in such a way that the convergence of the state trajectory to zero is assured despite the saturations and the appearance of faults. Also, it is shown that it is possible to obtain some guarantees about the tolerated delay between the fault occurrence and its isolation, and that the nominal controller can be designed so as to maximize the tolerated delay.i Resum Aquesta tesi presenta diverses contribucions a l'estat de l'art del control per planificació del guany i del control tolerant a fallades (FTC).Pel que fa al control per planificació del guany, s'analitzen les connexions entre els paradigmes dels sistemes lineals a paràmetres variants en el temps (LPV) i d...

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Section: Recent Developments Of Fault Tolerant Controlmentioning

confidence: 99%

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Rotondo¹

2018

Springer Theses

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“…The "functional" actuator may change to failure actuate due to occasional breakdowns and the failure actuator can also be recovered during a finite time interval due to either efficient mobile maintenance or full redundancy. The random switches between these two states occur as a continuous-time Markov process [3,5,11]. Then, (1) can be rewritten in the following Markov jump form:…”

Section: Model Of Possible Failurementioning

confidence: 99%

“…In the last few decades, issues concerning stability and control problem of systems with actuator failures have been examined in the literatures. Mahmoud et al [3] analyzed the stochastic stability of fault tolerant control systems in the presence of noise using the Lyapunov function approach. Gundes [4] studied the stability of the MIMO feedback system under possible failures in either the sensor-connections or actuator-connections.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic Stability of Delay-Controlled Nonlinear Stochastic Systems with Actuator Failures

Zhou¹,

Huan²

2017

Shock and Vibration

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The problem of asymptotic stability of delay-controlled nonlinear stochastic systems with actuator failures is investigated in this paper. Such a system is formulated as a continuous-discrete hybrid system based on the random switch model of failure-prone actuator. Time delay control force is converted into delay-free one by randomly periodic characteristic of the system. Using limit theorem and stochastic averaging, an approximate formula for the largest Lyapunov exponent of the original system is then derived, from which necessary and sufficient conditions for asymptotic stability are obtained. The validity and utility of the proposed procedure are demonstrated by using a stochastically driven nonlinear two-degree system with time delay feedback and actuator failure.

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“…From the relations (17) and (18), we can determine the representation of system state in its controllable form:…”

Section: Flatness-based Rst Controller Designmentioning

confidence: 99%

“…Furthermore, Multiple Models (MM) method is proposed in [16]. In addition, controller switching approach represents a class of active fault tolerant control detailed in [17]. Moreover, Multiple Models Switching and Tuning (MMST) approach that concerns more particularly the reconfigurable control method is proposed in [4]-[9]- [19]- [20]- [24]- [25]- [26].…”

Section: Introductionmentioning

confidence: 99%

Robust Flatness-based Multi-controllers Approach

Gharsallaoui¹,

Ayadi²,

Benrejeb³

et al. 2010

SIC

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Abstract:In this paper, a robust fault tolerant control reconfiguration is proposed. For identified models whose parameters change according to operating conditions, it is convenient to design a reconfiguration control strategy. This approach switches on-line the right controller to achieve the same performances for a given objective. This reconfiguration strategy is based on robust flatness-based switching control and developed in discrete-time framework in order to track a reference trajectory starting from a flat output variable. For each model, a corresponding flatness-based controller is designed and consequently, a multi-controller structure is obtained. The switching process is based on the minimization of a criterion. The performances obtained by switching in terms of tracking trajectory and disturbance fault rejection are discussed in this paper. The stability of the corresponding switched discrete-time linear systems is given.

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Stochastic stability analysis of fault-tolerant control systems in the presence of noise

Cited by 79 publications

References 9 publications

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Asymptotic Stability of Delay-Controlled Nonlinear Stochastic Systems with Actuator Failures

Robust Flatness-based Multi-controllers Approach

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