Adaptive sliding mode fault tolerant control for interval Type-2 fuzzy singular fractional-order systems

Zhang, Xuefeng; Huang, Wenkai

doi:10.1177/1077546320980181

Cited by 9 publications

(3 citation statements)

References 52 publications

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“…Furthermore, in some papers, the sliding mode approach is used in combination with other control approaches, most notably Fuzzy SMC [71,72], where in [71] the authors developed a fuzzy fault tolerant sliding mode controller for fractional systems based on fast adaptive fault estimation, other considered approaches include robust H ∞ adaptive output feedback SMC [73], neural adaptive SMC [74] and adaptive sliding mode synchronisation of chaotic systems [60,61].…”

Section: Sliding Mode-based Ftcmentioning

confidence: 99%

Fractional Order Fault Tolerant Control - A Survey

Ladaci,

Benchaita

2023

IJRCS

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In this paper, a comprehensive review of recent advances and trends regarding Fractional Order Fault Tolerant Control (FOFTC) design is presented. This novel robust control approach has been emerging in the last decade and is still gathering great research efforts mainly because of its promising results and outcomes. The purpose of this study is to provide a useful overview for researchers interested in developing this interesting solution for plants that are subject to faults and disturbances with an obligation for a maintained performance level. Throughout the paper, the various works related to FOFTC in literature are categorized first by considering their research objective between fault detection with diagnosis and fault tolerance with accommodation, and second by considering the nature of the studied plants depending on whether they are modelized by integer order or fractional order models. One of the main drawbacks of these approaches lies in the increase in complexity associated with introducing the fractional operators, their approximation and especially during the stability analysis. A discussion on the main disadvantages and challenges that face this novel fractional order robust control research field is given in conjunction with motivations for its future development. This study provides a simulation example for the application of a FOFTC against actuator faults in a Boeing 747 civil transport aircraft is provided to illustrate the efficiency of such robust control strategies.

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Section: Sliding Mode-based Ftcmentioning

confidence: 99%

Fractional Order Fault Tolerant Control - A Survey

Ladaci,

Benchaita

2023

IJRCS

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“…In [20], the authors studied the SMC problem for impulsive reaction-diffusion systems, whereas the research on SMCs for SFOS is limited. In [21], the authors discussed a sliding mode fault tolerant control for two T-S fuzzy SFOSs with mismatched uncertainties. The authors of [22] considered the adaptive SMC of SFOS with unmatched uncertainty.…”

Section: Introductionmentioning

confidence: 99%

On Sliding Mode Control for Singular Fractional-Order Systems with Matched External Disturbances

2022

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In this paper, we investigate the problem of sliding mode control for singular fractional-order systems that have matched uncertainties. We design an innovative integral sliding mode function and controller based on the normalizable condition. A strict linear matrix inequality-based sufficient condition is obtained for the system’s stability. The normalizable condition is eliminated by updating and developing the control method, and a sufficient and necessary condition is developed for the admissibility of the system. Lastly, verification of our method’s effectiveness is numerically conducted in two instances.

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“…In fact, SMC is an area of intense research and the advancement in this field is very fast, especially for continuous-time systems. Many elegant SMC control strategies have been investigated in the field of controller, observer and filter such as terminal sliding mode, fuzzy sliding mode, and higher-order sliding mode (Levant, 2003; Wang et al, 2020; Yu et al, 2021; Zhang and Huang, 2021).…”

Section: Introductionmentioning

confidence: 99%

An implicit discretization-based adaptive reaching law for discrete-time sliding mode control systems

Wang

Xia

Ren

2022

Journal of Vibration and Control

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In conventional reaching law approaches, the disturbance suppression is achieved at the cost of high-frequency chattering or increasing the complexity of algorithm such as adding a high-order disturbance compensator. This paper presents the design and analysis of a novel implicit discretization-based adaptive reaching law for discrete-time sliding mode control systems. First, the implicit Euler technique is introduced into the design of discrete reaching laws, and it is proved to be able to eliminate numerical chattering completely. By using a self-adaptive power term, the newly designed reaching law can obtain an arbitrarily small boundary layer of sliding surface, and at the different phases of sliding mode motion, the adaptive power parameter can automatically regulate its value to guarantee globally fast convergence without destroying the accuracy of sliding variable. Then, based on a predefined trajectory of sliding variable, the discrete-time sliding mode control law is developed to realize high control accuracy without additional design. Compared with previous methods, the main contribution of proposed reaching law lies in that it can acquire high-precision sliding mode motion and simultaneously eliminate numerical chattering in spite of complex uncertainties only by adjusting the adaptive power parameter. Finally, a simulation example on the piezomotor-driven linear stage is provided to verify the theoretical results.

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Adaptive sliding mode fault tolerant control for interval Type-2 fuzzy singular fractional-order systems

Cited by 9 publications

References 52 publications

Fractional Order Fault Tolerant Control - A Survey

Fractional Order Fault Tolerant Control - A Survey

On Sliding Mode Control for Singular Fractional-Order Systems with Matched External Disturbances

An implicit discretization-based adaptive reaching law for discrete-time sliding mode control systems

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