Fuzzy-Model-Based Fault-Tolerant Design for Nonlinear Stochastic Systems Against Simultaneous Sensor and Actuator Faults

Liu, Ming; Cao, Xi‐Ren; Shi, Peng

doi:10.1109/tfuzz.2012.2224872

Cited by 214 publications

(134 citation statements)

References 29 publications

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“…Step 4: Compute matrices N and H based on Equation 18. Consequently, observer matrices N, T, H, M, and F are all computed, and the fault reconstruction observer can be constructed as in Equation 5.…”

Section: Corollarymentioning

confidence: 99%

“…Various effective techniques, such as adaptive technique, [6][7][8] sliding-mode observer approach using equivalent output injection signal to explicitly reconstruct fault signals, [9][10][11][12] learning observer method, 13,14 intermediate estimator method, 15,16 the descriptor observer approach, [17][18][19] and so on, have been proposed for fault estimation problem. Recently, the proportional and integral observer (PIO) method has been addressed in the works of Youssef et al 20 and Li and Zhu 21 to simultaneously estimate system states and system faults.…”

Section: Introductionmentioning

confidence: 99%

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Simultaneous actuator and sensor fault estimation for discrete‐time Lipschitz nonlinear systems in finite‐frequency domain

Yang

2017

Optim Control Appl Methods

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SummaryThis paper addresses the problem of actuator and sensor fault reconstruction simultaneously with finite-frequency specifications for discrete-time Lipschitz nonlinear systems. First, an augmented system description is given by extending the sensor fault as an auxiliary state vector. Then, a multiobjective unknown input proportional-integral observer is designed, and the nonlinear error dynamics are transformed into a linear parameter-varying system based on the use of a reformulated Lipschitz property. Sufficient conditions for the design of a fault estimator with 2 finite-frequency H ∞ performances are derived in terms of linear matrix inequalities where a slack variable is introduced to reduce the conservativeness of the design. The proposed method can provide less restrictive linear matrix inequality conditions and get a better fault estimation performance than the existing one in the full frequency domain. Simulation results are given to show the effectiveness of the proposed techniques.

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Section: Corollarymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Simultaneous actuator and sensor fault estimation for discrete‐time Lipschitz nonlinear systems in finite‐frequency domain

Yang

2017

Optim Control Appl Methods

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“…Among this work, T-S fuzzy systems and Markovian jump systems are two representative classes of dynamical systems. Over the past decades, many meaningful results have been published on the sliding mode control of either T-S fuzzy systems [10,11,12,13] or Markovian jump systems [14,15,16,17,18,19,20]. However, relatively little attention has been focused on research into sliding mode control for composite systems comprising the two classes of systems, namely Markovian jump T-S fuzzy systems [21,22], despite their wide application [23,24,25,26].…”

Section: Introductionmentioning

confidence: 99%

Integral sliding mode control for Markovian jump T–S fuzzy descriptor systems based on the super‐twisting algorithm

Zhang

Yan

et al. 2017

IET Control Theory & Applications

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This paper investigates integral sliding mode control problems for Markovian jump T-S fuzzy descriptor systems via the super-twisting algorithm. A new integral sliding surface which is continuous is constructed and an integral sliding mode control scheme based on a variable gain super-twisting algorithm is presented to guarantee the well-posedness of the state trajectories between two consecutive switchings. The stability of the sliding motion is analyzed by considering the descriptor redundancy and the properties of fuzzy membership functions. It is shown that the proposed variable gain super-twisting algorithm is an extension of the classical single-input case to the multi-input case. Finally, a bio-economic system is numerically simulated to verify the merits of the method proposed.

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“…[17][18][19] To mention a few, a quaternion-based attitude tracking control law is proposed for rigid satellite in the presence of unknown inertia matrix. 20 A robust control strategy is developed for rigid body satellite to achieve high-precision attitude tracking, where time-varying mass and unknown external disturbance are considered together.…”

Section: Introductionmentioning

confidence: 99%

Fault-tolerant sliding mode attitude tracking control for flexible spacecraft with disturbance and modeling uncertainty

Cao

Yue

Liu

2017

Advances in Mechanical Engineering

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This article investigates the attitude tracking control problem for a class of flexible spacecraft with a redundant four reaction wheels' setting. In this study, inertia uncertainties, external disturbance, wheel torque saturation, and configuration misalignment are taken into account simultaneously. Two types of sliding mode controllers are presented to solve this design problem. First, supposing the norm upper bound of external disturbances, bounds of inertia, and input uncertainties are available, a terminal sliding mode attitude tracking control strategy is developed, where the controller and steering laws are synthesized together. Second, supposing these norm upper bounds are unavailable, an adaptive control law is designed to cope with attitude tracking problem. Under both control schemes, the system trajectory can be ensured to arrive on the specified sliding surface in finite time. Finally, an illustrative example is given to verify the effectiveness of the proposed attitude tracking control methodologies.

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Fuzzy-Model-Based Fault-Tolerant Design for Nonlinear Stochastic Systems Against Simultaneous Sensor and Actuator Faults

Cited by 214 publications

References 29 publications

Simultaneous actuator and sensor fault estimation for discrete‐time Lipschitz nonlinear systems in finite‐frequency domain

Simultaneous actuator and sensor fault estimation for discrete‐time Lipschitz nonlinear systems in finite‐frequency domain

Integral sliding mode control for Markovian jump T–S fuzzy descriptor systems based on the super‐twisting algorithm

Fault-tolerant sliding mode attitude tracking control for flexible spacecraft with disturbance and modeling uncertainty

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