Fractional fault-tolerant dynamical controller for a class of commensurate-order fractional systems

Meléndez‐Vázquez, Fidel; Martínez-Fuentes, Óscar; Martínez-Guerra, Rafael

doi:10.1080/00207721.2017.1397806

Cited by 14 publications

(6 citation statements)

References 34 publications

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“…After that, we can obtain the maximum

H_{-}

indices from Algorithm 1 and Theorem 3. However, the method in [26] fails to get the

H_{-}

index. The results are shown in Table 1.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The existing full‐frequency method by Theorem 3 is valid, and the fault is detected at approximately

t = 10 s

. However, the results in Theorem 3.3 in [26] cannot be applicable in this case (Table 2).…”

Section: Simulation Resultsmentioning

confidence: 99%

“…A FTC scheme, which consists of a fractional proportional integral reduced‐order observer and a fractional high‐gain observer (hybrid scheme), is proposed in [25] for a class of commensurate‐order fractional non‐linear systems. Moreover, a resilient fault‐tolerant controller is designed in [26] for T‐S fuzzy fractional order systems subject to actuator saturation and actuator failures, which is robust to control gain variations. Concerning fractional FD scheme, the second‐order sliding mode method is applied to deal with the FD problem of FOSs in [27].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fault detection for fractional‐order linear systems in finite frequency domains

Yang

2019

IET Control Theory & Applications

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“…After that, we can obtain the maximum

H_{-}

indices from Algorithm 1 and Theorem 3. However, the method in [26] fails to get the

H_{-}

index. The results are shown in Table 1.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The existing full‐frequency method by Theorem 3 is valid, and the fault is detected at approximately

t = 10 s

. However, the results in Theorem 3.3 in [26] cannot be applicable in this case (Table 2).…”

Section: Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fault detection for fractional‐order linear systems in finite frequency domains

Yang

2019

IET Control Theory & Applications

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“…A fractional high-gain observer and a reduced-order fractional proportional integral observer were put forward to design a class of FTC schemes in [33] for fractional nonlinear systems. In [34], taking fuzzy T-S fractional-order systems with actuator failures and saturation into consideration, a flexible fault-tolerant controller was designed. In [35], the second-order sliding pattern approach was able to address the FOSs' fault detection problem.…”

Section: Introductionmentioning

confidence: 99%

Fault Detection and Reliable Controller Design for Fractional-Order Systems Based on Dynamic Observer

Deng

et al. 2023

Actuators

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In this paper, the problem of the fractional-order linear systems’ simultaneous fault detection and reliable control (SFDC) in the finite frequency domain is investigated. A dynamic observer aimed at detecting faults is designed, which also generates state estimation signals. In particular, it is found that the proposed dynamic-observer-based controller can achieve a better H∞ performance. We derived the detector and controller’s design conditions to achieve H− fault sensitivity performance and H∞ interference attenuation performance in the limited frequency domain based on the generalized KYP lemma, which can achieve a better disturbance attenuation performance and fault sensitivity performance. Finally, the simulation results show the designed method’s effectiveness.

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“…The literature Reference develops a fault‐tolerant controller for uncertain fractional‐order systems against actuator faults, whose fractional‐order α is assumed to be 1<α<2. In Reference , based on a fractional high‐gain observer, a fault‐tolerant output feedback control scheme is proposed to achieve output tracking for a class of commensurate‐order fractional nonlinear systems. A robust FTC scheme for fractional‐order systems is proposed using backstepping with dynamic surface control in References and .…”

Section: Introductionmentioning

confidence: 99%

Adaptive fault tolerant control for a class of uncertain fractional‐order systems based on disturbance observer

Hou

Wang

2020

Intl J Robust & Nonlinear

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In this paper, a class of fractional-order nonlinear systems are considered in the presence of actuator faults. A novel fault tolerant control scheme based on disturbance observer has been presented, where the actuator faults are considered as the system disturbance and can be approximated by the proposed disturbance observer. The developed fault tolerant control guarantees the convergence of the closed-loop system and the output tracking performance. Finally, a simulation example is presented to verify the effectiveness of the new method. K E Y W O R D Sadaptive control, disturbance observer, fault tolerant control, fractional-order system INTRODUCTIONSince actuator fault is inevitable in modern control systems, which may degrade system performance, or even lead to system instability, compensation of actuator faults has significant impact on some critical physical systems. Adaptive fault tolerant control (FTC) has been shown as a desirable tool to this problem and remarkable progress have been made in the area. 1-8 Guang-Hong Yang proposes an adaptive output feedback control to deal with unknown nonaffine nonlinear faults for a class of nonlinear systems. 1 Salman Ijaz studies an active fault tolerant control (FTC) scheme for aircraft with dissimilar redundant actuation system in Reference 2. In Reference 3, fault-tolerant tracking control problem for a class of strict-feedback nonlinear systems subjected to actuator faults and external disturbances is investigated. Due to the global approximation performance of fuzzy logic system and neural networks, the authors in References 4-9 successfully solved the problem by introducing adaptive fuzzy logic control or adaptive neural networks control. Over the past decades, fractional-order systems 10,11 have attracted considerable attention due to the ability of describing long memory and hereditary characteristic of complex phenomenon in some practical systems. It can describe some systems more accurately than the traditional integer order method and has been widely applied in fields in engineering and physics, such as system biology, physics, chemistry, automatic control, materials science, engineering, etc. More and more fractional order systems have been studied, especially in tracking control performance and stability analysis. 12-18 Y. Wei et al. propose a variety of methods for the stabilization of fractional order systems. 12,14,15 Sufficient and necessary conditions for stabilizing singular fractional order systems are given in Reference 16. For a class of continuous-time fractional positive systems, stabilization control is addressed based on disturbance observer in Reference 17. The Lyapunov stability theory is extended to fractional-order nonlinear systems in References 13 and 18 and, where the concept of Lyapunov stability is defined and Lyapunov design method is proposed. As we all know, actuator or sensor faults may also occur in fractional-order systems due to poor working conditions, mechanical fatigue, and other factors. Consequently, how to detect and ...

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Fractional fault-tolerant dynamical controller for a class of commensurate-order fractional systems

Cited by 14 publications

References 34 publications

Fault detection for fractional‐order linear systems in finite frequency domains

Fault detection for fractional‐order linear systems in finite frequency domains

Fault Detection and Reliable Controller Design for Fractional-Order Systems Based on Dynamic Observer

Adaptive fault tolerant control for a class of uncertain fractional‐order systems based on disturbance observer

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