Sensor fault estimation for fractional-order descriptor one-sided Lipschitz systems

Jmal, Assaad; Naifar, Omar; Makhlouf, Abdellatif Ben; Derbel, Nabil; Hammami, Mohamed Ali

doi:10.1007/s11071-017-3976-1

Cited by 34 publications

(19 citation statements)

References 32 publications

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“…Accordingly, singular systems have received much attention in the past few decades [12]. Many valuable results on singular FOSs have been reported too [13][14][15][16]. Based on the Gronwall's approach, the sufficient condition for the finite-time stability criterion was developed for stochastic singular FOS with 0 < α < 1 [17].…”

Section: Introductionmentioning

confidence: 99%

Sufficient and necessary conditions for stabilizing singular fractional order systems with partially measurable state

Wei

Wang

Liu

et al. 2019

Journal of the Franklin Institute

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This paper is concerned with the stabilization problem of singular fractional order systems with order α ∈ (0, 2). In addition to the sufficient and necessary condition for observer based control, a sufficient and necessary condition for output feedback control is proposed by adopting matrix variable decoupling technique. The developed results are more general and efficient than the existing works, especially for the output feedback case. Finally, two illustrative examples are given to verify the effectiveness and potential of the proposed approaches.

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Section: Introductionmentioning

confidence: 99%

Sufficient and necessary conditions for stabilizing singular fractional order systems with partially measurable state

Wei

Wang

Liu

et al. 2019

Journal of the Franklin Institute

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“…To the best knowledge of authors, the actuator fault diagnosis problem for FOS systems has not been investigated yet. Only Jmal et al [12] considers fault diagnosis of FOS systems. In [12], an observer has been designed which can detect and estimate only constant sensor faults (without considering the effect of unknown inputs such as disturbances).…”

Section: Introductionmentioning

confidence: 99%

“…In [12], the stability analysis of the proposed observer is based on the direct Lyapunov method. Since the chain rule for fractional order derivative is complex, it is tough to construct a relation between the fractional derivative of the Lyapunov candidate and the system equations.…”

Section: Introductionmentioning

confidence: 99%

Design of unknown input fractional order proportional–integral observer for fractional order singular systems with application to actuator fault diagnosis

Komachali

Shafiee

Darouach

2019

IET Control Theory & Applications

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“…[28][29][30][31][32][33][34] So, dynamical behavior of the fractional-order systems based on fractional-order calculation is very significant, and some excellent results have been demonstrated. [35][36][37] The further study of fractional derivatives is needed to an essential issue of its widespread application in the stability, stabilization, Chao's synchronization, control theory, etc. For example, Liao and Huang 38 demonstrated the chaotic synchronization of nonlinear systems and its application to secure communications based on observer-based approaches.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis and robust synchronization of fractional‐order competitive neural networks with different time scales and impulsive perturbations

Anbalagan

Raja

Agarwal

et al. 2019

Adaptive Control & Signal

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This article mainly examine a class of robust synchronization, global stability criterion, and boundedness analysis for delayed fractional-order competitive type-neural networks with impulsive effects and different time scales. Firstly, by endowing the robust analysis skills and a new class of Lyapunov-Krasovskii functional approach, the error dynamical system is furnished to be a robust adaptive synchronization in the voice of linear matrix inequality (LMI) technique. Secondly, by ignoring the uncertain parameter terms, the existence of equilibrium points are established by means of topological degree properties, and the solution representation of the considered network model are provided. Thirdly, a novel global asymptotic stability condition is proposed in the voice of LMIs, which is less conservative. Finally, our analytical results are justified with two numerical examples with simulations.

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Sensor fault estimation for fractional-order descriptor one-sided Lipschitz systems

Cited by 34 publications

References 32 publications

Sufficient and necessary conditions for stabilizing singular fractional order systems with partially measurable state

Sufficient and necessary conditions for stabilizing singular fractional order systems with partially measurable state

Design of unknown input fractional order proportional–integral observer for fractional order singular systems with application to actuator fault diagnosis

Stability analysis and robust synchronization of fractional‐order competitive neural networks with different time scales and impulsive perturbations

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