Multiple observer design for a non‐linear Takagi–Sugeno system submitted to unknown inputs and outputs

Bouguila, Nasreddine; Jamel, Wafa; Khedher, Atef; Othman, Kamel Ben

doi:10.1049/iet-spr.2012.0398

Cited by 13 publications

(8 citation statements)

References 22 publications

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“…Disturbances and faults are usually considered as unknown inputs which can have a random behavior in time, and they can have harmful effects on the process. Observers with unknown inputs were the subject of many works [1][2][3]. Indeed, methods of simultaneous estimation of the unknown inputs and the system state were proposed in [3].…”

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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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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“…Some studies tried to reconstruct the system state in spite of the unknown input existence. This estimation is assured via the elimination of unknown inputs (Bouguila et al, 2013). Other works choose to estimate simultaneously the unknown inputs and the system state (Jamel et al, 2013(Jamel et al, , 2015Khedher et al, 2010;Manaa et al, 2015).…”

Section: Introductionmentioning

confidence: 99%

Observer design and active fault tolerant control for Takagi-Sugeno systems affected by sensors faults

Jamel

Khedher

Othman

2017

IJMIC

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This paper deals with the problem of active fault tolerant control strategy for nonlinear systems described by Takagi-Sugeno models. The proposed control law uses the estimated fault. The considered systems are affected by sensor faults. A mathematical transformation is used in order to conceive an augmented system in which the sensor faults affecting the initial system appear as unknown inputs. A proportional integral observer with unknown inputs is conceived in order to estimate simultaneously states and sensor faults. The stability of the system with the proposed fault tolerant control strategy is formulated using Lyapunov theory and the observer gains are obtained by solving linear matrices inequalities. To illustrate the proposed method, it is applied to the three columns.

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“…Designing a fuzzy observer to guarantee the estimated error converging to zero is extremely difficult for a fuzzy system with uncertainties. Over the last few decades, many researchers have studied observer design with unknown input in terms of linear systems and non-linear systems [20][21][22][23][24][25]. However, using the unknown input concept to deal with the T-S fuzzy system with uncertainties in the system matrix and the input matrix has seldom been studied.…”

Section: Introductionmentioning

confidence: 99%

Unknown input based observer synthesis for uncertain Takagi–Sugeno fuzzy systems

Yeh¹,

Chang²,

Wang³

2015

IET Control Theory & Applications

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Observer design for a Takagi-Sugeno (T-S) fuzzy system with uncertainties is extremely difficult because the estimation error is incapable of approaching zero asymptotically due to the existence of uncertainty terms. In this study, by regarding the uncertainty as an unknown input, with some particular derivation, the authors successfully synthesize a fuzzy observer which guarantees that the error will converge to zero asymptotically. Based on Lyapunov theory and linear matrix inequality tools, the main theorem is derived for the fuzzy observer synthesis. This study does not limit the size of uncertainties, but the uncertainties have to satisfy a specific matching condition in order to use the unknown input concept. Finally, a numerical example is given to show that the proposed approach is effective in estimating system's states subject to system uncertainties.

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Multiple observer design for a non‐linear Takagi–Sugeno system submitted to unknown inputs and outputs

Cited by 13 publications

References 22 publications

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

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

Observer design and active fault tolerant control for Takagi-Sugeno systems affected by sensors faults

Unknown input based observer synthesis for uncertain Takagi–Sugeno fuzzy systems

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