Passivity and Fault Alarm-Based Hybrid Control for a Markovian Jump Delayed System With Actuator Failures

Li, Jianning; Xu, Yan; Bao, Wen-Dong; Xu, Xiaobin

doi:10.1109/access.2017.2776121

Cited by 10 publications

(8 citation statements)

References 27 publications

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“…Further, by making use of S‐procedure lemma and Schur complement, the right‐hand side of inequality () is reformulated as the matrix inequality in (). As a result, it is easy to conclude that

\overset{scriptV}{true} false(t false) - scriptJ false(t false) < 0 .

According to Lyapunov stability theory and Definition 1 in [31], this directly implies that the addressed MAPS () is asymptotically stabilized with passive disturbance attenuation performance through the developed memory feedback control protocol defined in (). This completes the proof.…”

Section: Resultsmentioning

confidence: 95%

“…According to Lyapunov stability theory and Definition 1 in [31], this directly implies that the addressed MAPS (1) is asymptotically stabilized with passive disturbance attenuation performance through the developed memory feedback control protocol defined in (3). This completes the proof.…”

Section: 𝜓(V)dvmentioning

confidence: 99%

“…Subsequently, from a practical point of view, the necessity of the fault-tolerant control is once if the actuators undergo failure. In this regard, the effective technique called fault-alarm-based hybrid control for control systems has been reported in other studies [30][31][32]. More specifically, the signal from fault-alarm accommodates the switching between the robust and fault-tolerant control.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

State estimation and frequency stabilization of multi‐area power systems via fault‐alarm approach

Harshavarthini

Sakthivel

Kumar³

et al. 2021

Asian Journal of Control

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This work is mainly focused on designing hybrid memory state feedback load frequency control law for a class of multi-area power systems against transmission delays, parameter uncertainties, actuator faults, and load disturbances via fault-alarm approach. More specifically, the load disturbances are prompted by the incorporation of abundance amount of renewable energy resources, namely, photo voltaic and wind power. Additionally, the power system takes the effect of actuator faults into account, which is unavoidable and exists at any instant of time. Thus, to stabilize the addressed system, the fault-alarm approach is exploited to develop the hybrid control law. Particularly, the state dynamics are well estimated by the aid of residual observer to detect the faulty condition of actuators. Also, by following the algorithm of fault detection, the spontaneous alert from the alarm is accomplished. Further, in consideration of appropriate Lyapunov-Krasovskii functional, the stability conditions having linear matrix inequality form are derived and which affirms the asymptotic stability of the power systems. Precisely, the controller gain matrices are obtained by solving the developed sufficient conditions. Eventually, the simulation results of two-area interconnected power systems are presented to examine the applicability and advantage of the proposed theoretical result. KEYWORDS fault-alarm-based hybrid control, multi-area power systems, transmission delays and uncertainties

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\overset{scriptV}{true} false(t false) - scriptJ false(t false) < 0 .

Section: Resultsmentioning

confidence: 95%

Section: 𝜓(V)dvmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

State estimation and frequency stabilization of multi‐area power systems via fault‐alarm approach

Harshavarthini

Sakthivel

Kumar³

et al. 2021

Asian Journal of Control

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show abstract

“…All these lead to the degradation of system performance and even failure [15], [16]. It is usually assumed that the delay is fixed or random under known probability distribution characteristics in the existing analysis and comprehensive design of delay systems [17]- [20]. For uncertain delay with unknown statistical characteristics, researches on fault diagnosis of closed-loop systems are insufficient.…”

Section: Introductionmentioning

confidence: 99%

Integrated Design of Fault Estimation and Fault-Tolerant Control for Closed-Loop Systems With Uncertain Short Delay

Chen

Cao

et al. 2021

IEEE Access

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In this paper, an integrated design scheme of fault estimation (FE) and fault-tolerant control (FTC) is presented for a closed-loop system with uncertain short delay. Firstly, a closed-loop system with uncertain short delay is modeled as a system with uncertain parameters, and a bi-directional robustness interaction of uncertainty between the observer and the control system is analyzed. Then a fault estimation observer and a fault-tolerant controller are constructed, and the integrated design problem is converted into a robust control problem for the augmented system under H ∞ performance index. Furthermore, the parameters of the fault estimation observer and fault-tolerant controller are solved by Lyapunov function and relaxation methods. Finally, the effectiveness and superiority of the proposed method are verified by an aircraft simulation.

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“…In recent decades, a swarm of researchers interested in the failed actuators has rushed in. For example, the issue involving partial fault of actuators has been vastly proposed, 15–23 and the project regarding actuator bias fault has been discussed in Ma and Yang. 24 Besides, the work by Zhao et al 25 has solved the non-fragile fault-tolerant control for a class of nonlinear MJS, where the multiple Markov chains are introduced to model the multiple intermittent actuator faults.…”

Section: Introductionmentioning

confidence: 99%

Event-triggered asynchronous H∞ fault-tolerant control for discrete-time Markov jump system with actuator faults

Wang

2020

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article focuses on the design of event-triggered asynchronous [Formula: see text] fault-tolerant controller for Markov jump system subject to actuator faults and external disturbances. The asynchronization phenomenon not only occurs between the controlled system and controller but also exists between the controlled system and faulty actuator, which are portrayed as two corresponding hidden Markov models. Moreover, a mode-dependent event-triggered mechanism is introduced to facilitate network resources utilization. Then, by introducing mode-dependent Lyapunov-Krasovskii functional, a sufficient condition is obtained to guarantee that the closed-loop system is randomly mean square stable with [Formula: see text] performance. Finally, two numerical examples are employed to illustrate the effectiveness of the proposed synthesis scheme.

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Passivity and Fault Alarm-Based Hybrid Control for a Markovian Jump Delayed System With Actuator Failures

Cited by 10 publications

References 27 publications

State estimation and frequency stabilization of multi‐area power systems via fault‐alarm approach

State estimation and frequency stabilization of multi‐area power systems via fault‐alarm approach

Integrated Design of Fault Estimation and Fault-Tolerant Control for Closed-Loop Systems With Uncertain Short Delay

Event-triggered asynchronous H∞ fault-tolerant control for discrete-time Markov jump system with actuator faults

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