A new approach for robust fault estimation in nonlinear systems with state-coupled disturbances using dissipativity theory

Tavasolipour, Elham; Poshtan, Javad; Shamaghdari, Saeed

doi:10.1016/j.isatra.2020.12.040

Cited by 10 publications

(11 citation statements)

References 33 publications

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“…Obviously (36) holds while implying that inequality (27) also holds. Finally, we have the condition (23) results from (36) by defining Ȳi = P Ki and Schur complement. Now, the convergence of e f (t ) is proved.…”

Section: Observer-based Fault Estimation Designmentioning

confidence: 99%

“…Remark 10. For any set of possible solutions in inequalities (23) and (24), gain matrices K i and F 1i are determined by parameters {P, Q, 𝛾 1 , 𝛾 2 }. Thus, the algorithm conservatism comparison between Theorem 1 and 2 can be obtained by the parameter analysis of {P, Q, 𝛾 1 , 𝛾 2 } in constraints ( 23), ( 24) and ( 42), (43).…”

Section: Fault Estimation Design With Less Conservatismmentioning

confidence: 99%

“…Firstly, the parameter analysis between ( 23) and ( 42) is given. By Lemma 3, there is N U P , for any feasible solutions in (23), such that N T U P…”

Section: Fault Estimation Design With Less Conservatismmentioning

confidence: 99%

“…Ref. [23] investigates two unknown input observers to deal with the fault diagnosis problem for nonlinear systems with Lipschitz nonlinearities, where the disturbances effects are attenuated by dissipativity theory. In [24], actuator faults, external disturbances, and uncertain inertia parameter of a rigid spacecraft are regard as a lumped disturbance together, which is estimated via a finite‐time disturbance observer.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Fuzzy adaptive observer‐based fault estimation design with adjustable parameter for satellite under unknown actuator faults and perturbations

Chang

2022

IET Control Theory & Appl

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This study considers the problem of fault estimation for rigid satellite in the presence of external disturbances, parameter perturbations, and actuator time‐varying faults. Firstly, a Takagi‐Sugeno (T‐S) fuzzy model with interval matrix for satellite attitude system under large attitude angle scope is established, along with a detailed analysis of actuator faults in terms of additive and multiplicative descriptions. Then, a novel fuzzy adaptive observer with adjustable parameter is proposed to estimate both system states and actuator faults. The estimated errors are proved to be uniformly ultimately bounded, based on descriptor augmentation technique and Lyapunov stability theory. The proposed observer realizes a lower estimation performance index in terms of quantitative assessment compared to existing observer methods. Furthermore, an auxiliary optimization variable and the elimination method are applied to decrease the conservatism of the proposed design. And an intuitive quantitative performance index of fault estimation is introduced to obtain reliable evaluation and decision. Finally, numerical simulations and analyses of rigid satellite illustrate the effectiveness and benefit of the proposed strategy.

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Section: Observer-based Fault Estimation Designmentioning

confidence: 99%

Section: Fault Estimation Design With Less Conservatismmentioning

confidence: 99%

“…Firstly, the parameter analysis between ( 23) and ( 42) is given. By Lemma 3, there is N U P , for any feasible solutions in (23), such that N T U P…”

Section: Fault Estimation Design With Less Conservatismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fuzzy adaptive observer‐based fault estimation design with adjustable parameter for satellite under unknown actuator faults and perturbations

Chang

2022

IET Control Theory & Appl

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“…In this method, the disturbance is regarded as a nonlinear function coupled with the system state, and the fault is regarded as an additive function. In order to diagnose faults and reduce disturbance by using dissipation theory, Luenberger and two UIOs are designed, respectively [20]. Sensor fault estimation and actuator fault detection and isolation (FDI) for a class of uncertain nonlinear systems are studied.…”

Section: Introductionmentioning

confidence: 99%

Actuator-Integrated Fault Estimation and Fault Tolerant Control for Electric Power Steering System of Forklift

Xiao

2021

Applied Sciences

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For the problem of actuator-integrated fault estimation (FE) and fault tolerant control (FTC) for the electric power steering (EPS) system of a forklift, firstly, a dynamic model of a forklift EPS system with actuator faults was established; then, an integrated FE and FTC design was proposed. The nonlinear unknown input observer (NUIO) was proposed to estimate the system states and actuator faults, and an adaptive sliding mode FTC system was constructed based on it. The gain of the observer and controller is obtained by H∞ optimization and one-step linear matrix inequality (LMI) formula operation in order to realize the overall optimal design of an FTC system. Finally, the experimental results show that when actuator failure occurs, the proposed integrated FE and FTC were more accurate than the decentralized design to estimate the system states and the actuator faults. The proposed fault-tolerant controller can more effectively restore the power assist performance of the steering power motor in case of failure and effectively ensure the safety and reliability of the forklift EPS system.

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A sufficient condition to design unknown input observers for nonlinear systems with arbitrary relative degree

Coutinho

Bessa

Xie

et al. 2022

Intl J Robust & Nonlinear

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This article addresses the problem of state and unknown inputs (UIs) estimation for nonlinear systems with arbitrary relative degree with respect to the UIs.For this purpose, a novel nonlinear unknown input observer (UIO) is proposed, which is able to decouple the UIs by using the derivatives of the output signal. The error dynamics is attained by an exact handling and a factorization of its gradient to obtain a local polytopic representation suitable for input-affine nonlinear systems. For that representation, a novel design condition based on convex optimization and linear matrix inequalities is proposed to exponentially stabilize the estimation error and to guarantee the validity of the proposed nonlinear UIO. Numerical simulations indicate the effectiveness of the proposed approach for different classes of nonlinear systems, for which the UIs could be totally decoupled from the state estimation.

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A new approach for robust fault estimation in nonlinear systems with state-coupled disturbances using dissipativity theory

Cited by 10 publications

References 33 publications

Fuzzy adaptive observer‐based fault estimation design with adjustable parameter for satellite under unknown actuator faults and perturbations

Fuzzy adaptive observer‐based fault estimation design with adjustable parameter for satellite under unknown actuator faults and perturbations

Actuator-Integrated Fault Estimation and Fault Tolerant Control for Electric Power Steering System of Forklift

A sufficient condition to design unknown input observers for nonlinear systems with arbitrary relative degree

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