Fault-tolerant controller design with fault estimation capability for a class of nonlinear systems using generalized Takagi-Sugeno fuzzy model

Navarbaf, Alireza; Khosrowjerdi, Mohammad Javad

doi:10.1177/0142331219853687

Cited by 9 publications

(11 citation statements)

References 54 publications

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“…Case 1: The mass-damper-spring system. [11][12][13] The mass-damper-spring system is shown in Figure 1. The applications of the mass-damper-spring are wide as the car or some suspension systems, which include the mass as the car body, the spring as the tire, and a piston.…”

Section: Problem Formulation and System Mathematical Modelmentioning

confidence: 99%

Robust control-based disturbance observer and optimal states feedback for T–S fuzzy systems

Giap

Huang

Nguyen

et al. 2020

Journal of Low Frequency Noise, Vibration and Active Control

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This paper presents a robust control methodology based on a disturbance observer and an optimal states feedback for Takagi–Sugeno fuzzy system. Firstly, the nonlinear systems were solved by applying a sector nonlinearity method to get the inner linear subsystems and outer fuzzy membership functions, which guaranteed the conversion without any loss generality characteristics of the system. Secondly, an exponentially convergent disturbance observer was constructed to the system with an assumption that the system states are temporarily bounded. Thirdly, a states observer was built by poles placement of linear quadratic regulation optimization, which was used to place the system states error poles located on the stable region. Finally, simulation examples were given to figure out that the proposed controller is effective to control the Takagi–Sugeno fuzzy system. The obtained results are disturbance mostly rejected, state estimation errors are quite small, and the output signal precisely tracked input signal.

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Section: Problem Formulation and System Mathematical Modelmentioning

confidence: 99%

Robust control-based disturbance observer and optimal states feedback for T–S fuzzy systems

Giap

Huang

Nguyen

et al. 2020

Journal of Low Frequency Noise, Vibration and Active Control

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“…In [28], Takagi-Sugeno models with delay assumptions are considered; in this work, we do not consider delay. e application of fault estimation to the fault tolerant control is given in [29,30]. Ellipsoidal bounding conditions are assumed in [31].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Proportional Integral Observer Design for Interval Type 2 Takagi–Sugeno Fuzzy Systems

Khedher¹,

Elleuch

Benothman³

2021

Mathematical Problems in Engineering

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In this paper, the problem of fault estimation in systems described by Takagi–Sugeno fuzzy systems is studied. A proportional integral observer is conceived in order to reconstruct state and faults which can affect the studied system. Proportional integral observer can easily estimate actuator faults which are assimilated to be as unknown inputs. In order to estimate actuator and sensor faults, a mathematical transformation is used to conceive an augmented system, in which the initial sensor fault appears as an unknown input. Considering the augmented state, it is possible to conceive an adaptive observer which is able to estimate the whole state and faults. The noise effect on the state and fault estimation is also minimized in this study, which provides some robustness properties to the proposed observer. The proportional integral observer is conceived for nonlinear systems described by Takagi–Sugeno fuzzy models.

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“…But we can apply these methods only for systems with only actuator faults because we need the output measurements for the fault estimation. For control design problem, the authors in Navarbaf and Khosrowjerdi (2019) and Schulte (2018) have developed a FTC law for T-S fuzzy systems where the sensor faults have not been considered. Compared with single fault problems, multiple fault ones are more general.…”

Section: Introductionmentioning

confidence: 99%

Robust fault tolerant control based on adaptive observer for Takagi-Sugeno fuzzy systems with sensor and actuator faults: Application to single-link manipulator

Makni

Bouattour

Chaabane

2020

Transactions of the Institute of Measurement and Control

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In this work, we investigate the problem of control for nonlinear systems represented by Takagi-Sugeno (T-S) fuzzy models affected by both sensor and actuator faults subject to an unknown bounded disturbances (UBD). For this, we design an adaptive observer to estimate state, sensor and actuator fault vectors simultaneously despite the presence of external disturbances. Based on this observer, we develop a fault tolerant control (FTC) law not only to stabilize closed loop system, but also to compensate the fault effects. For the observer-based controller design, we propose less conservative conditions formulated in terms of linear matrix inequalities (LMIs). Moreover, both observer and controller gains are calculated via solving a set of LMIs only in single step. Finally, comparative results and an application to single-link flexible joint robot are afforded to prove the efficiency of the proposed design.

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Fault-tolerant controller design with fault estimation capability for a class of nonlinear systems using generalized Takagi-Sugeno fuzzy model

Cited by 9 publications

References 54 publications

Robust control-based disturbance observer and optimal states feedback for T–S fuzzy systems

Robust control-based disturbance observer and optimal states feedback for T–S fuzzy systems

Adaptive Proportional Integral Observer Design for Interval Type 2 Takagi–Sugeno Fuzzy Systems

Robust fault tolerant control based on adaptive observer for Takagi-Sugeno fuzzy systems with sensor and actuator faults: Application to single-link manipulator

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