A novel sliding mode observer for state and fault estimation in systems not satisfying matching and minimum phase conditions

Wang, Xianghua; Tan, Chee Pin; Zhou, Donghua

doi:10.1016/j.automatica.2017.01.027

Cited by 89 publications

(66 citation statements)

References 22 publications

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“…According to adaptive law (15), variable gain k(t) varies in the range [k − , k + ], where k − is a preselected minimal value and k + is the upper bound of control gain k. It is apparent that, during the adaptive process, condition |d(t)|∕h > k − (24) holds and the terms with respect to M are equal to zero. Choose a Lyapunov function as…”

Section: Theorem 1 Under the Adaptive Ntsm Controllermentioning

confidence: 99%

“…The system considered in the aforementioned work is required to satisfy the matching condition and minimum‐phase properties. Moreover, a nonlinear observer is designed based on the sliding mode (SM) method to estimate the fault for the system, which does not meet the matching condition . It can be observed from the works of Cao and Chen and Wang et al that these results are about the deterministic systems.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, a nonlinear observer is designed based on the sliding mode (SM) method to estimate the fault for the system, which does not meet the matching condition . It can be observed from the works of Cao and Chen and Wang et al that these results are about the deterministic systems. For the stochastic systems, a quantized SMC method is developed in the work of Liu et al for the continuous‐time Markov jump system with state quantization and unknown time‐varying actuator faults, whereas an integral SMC method is derived in the work of Qi et al for singular stochastic Markov jump system.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A novel adaptive nonsingular terminal sliding mode controller design and its application to active front steering system

Ding

Liu

Park

2019

Intl J Robust & Nonlinear

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Summary Note that the amplitude of chattering existing in the sliding mode control method is proportional to the magnitude of the control gain. Therefore, the key issue to diminish the chattering is to decrease the value of sliding mode controller's gain to an acceptable minimal level defined by the so‐called reaching condition for the sliding mode's existence. For this reason, the nonsingular terminal sliding mode (NTSM) control method and the adaptive technique have been considered in this paper to develop a novel adaptive NTSM control method, which can be used to search the minimal value of the control gain automatically in the presence of the external disturbances. Meanwhile, the average value of a high‐frequency switching signal in the adaptive law can be provided by Arie Levant's differentiator rather than a low‐pass filter. The rigorous mathematical proof verifies that the system states can converge to the origin within a finite time under the proposed adaptive NTSM controller. Both the academic example and the practical application to an active front steering system are illustrated to show that the presented adaptive NTSM controller has better control performance than the conventional sliding mode controller.

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Section: Theorem 1 Under the Adaptive Ntsm Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A novel adaptive nonsingular terminal sliding mode controller design and its application to active front steering system

Ding

Liu

Park

2019

Intl J Robust & Nonlinear

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show abstract

“…If the fault and/or its derivative is unbounded, the performance of these methods might not be as good. Other effective observers are proposed in other works . To the best of authors' knowledge, fault estimation problems have not been fully investigated and are challenging issues, which motivates us to do this paper.…”

Section: Introductionmentioning

confidence: 99%

“…Other effective observers are proposed in other works. [17][18][19][20] To the best of authors' knowledge, fault estimation problems have not been fully investigated and are challenging issues, which motivates us to do this paper.…”

Section: Introductionmentioning

confidence: 99%

A novel sth‐order observer for linear system: Application to state and fault estimation of spacecraft control system

Liu

Zhang

et al. 2018

Intl J Robust & Nonlinear

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Summary In this paper, a fault estimation problem for linear system is considered. A novel sth‐order observer is proposed to cope with this problem. The advantages of the proposed observer are that (i) the observer matching condition is not required to be satisfied in practical systems, (ii) if the sth derivative of fault is unknown and/or unbounded and the (s + 1)th derivative of fault f (t) is naught or bounded, it can simultaneously estimate the state and fault. The sufficient existence condition of the proposed observer is given by a linear matrix inequality. In addition, a feasible method to obtain the design parameters is discussed. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed method.

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Fault Isolation and Fault‐Tolerant Control Design for Non‐Gaussian Stochastic Distribution Control Systems With Multiple Sensor Faults

Wang,

Yao

2024

Adaptive Control & Signal

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A fault isolation, estimation and fault‐tolerant control algorithm is proposed for non‐Gaussian stochastic distribution control systems with disturbance and multiple sensor faults. Sensor faults are represented as actuator faults virtually, and an observer is devised to detect the sensor fault occurrence time. Then two subsystems are separated by the expanded system through introducing the coordinate transformation matrices. One subsystem contains only sensor faults and does not contain disturbance and the other contains sensor faults and disturbance, which provides convenience for fault isolation. The faults are estimated respectively by the multiple fault isolation observers with the same number of sensors. A fault‐tolerant control scheme is proposed after getting the fault information to compensated sensor faults and track the desired probability density function. Finally, a MATLAB simulation example is used to verify the feasibility of the algorithm.

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A novel sliding mode observer for state and fault estimation in systems not satisfying matching and minimum phase conditions

Cited by 89 publications

References 22 publications

A novel adaptive nonsingular terminal sliding mode controller design and its application to active front steering system

A novel adaptive nonsingular terminal sliding mode controller design and its application to active front steering system

A novel sth‐order observer for linear system: Application to state and fault estimation of spacecraft control system

Fault Isolation and Fault‐Tolerant Control Design for Non‐Gaussian Stochastic Distribution Control Systems With Multiple Sensor Faults

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