Observer design for Takagi–Sugeno descriptor models: An LMI approach

Guerra, Thierry Marie; Estrada-Manzo, Víctor; Lendek, Zsófia

doi:10.1016/j.automatica.2014.11.008

Cited by 101 publications

(55 citation statements)

References 28 publications

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“…Fault detection and isolation problems have been investigated for a long time, and significant results have been developed for general systems, including descriptor systems . For descriptor linear parameter varying systems (D‐LPV) systems, however, still remain a challenge, and only a little work can be found in the literatures . For instance, proposed an actuator fault estimation method for D‐LPV systems based on an adaptive polytopic observer; however, it needed to satisfy the strictly positive real condition and the convergence domain depended on the norm of fault.…”

Section: Introductionmentioning

confidence: 99%

“…In , an actuator fault reconstruction scheme for a class of discrete‐time D‐LPV systems was investigated, and by using H ∞ techniques and regional pole constraints, the states and actuator faults were reconstructed simultaneously based on proportional integral observer. considered the observer design problems based on LMI (linear matrix inequality) approach for descriptor Takagi–Sugeno systems of which the models are similar to D‐LPV models. In , a method for state‐estimation of Takagi–Sugeno descriptor systems affected by unknown inputs has been presented, and it was applied for fault diagnosis.…”

Section: Introductionmentioning

confidence: 99%

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Simultaneous actuator and sensor fault estimation for descriptor LPV system based on H _∞ reduced-order observer

Zhu

2015

Optim. Control Appl. Meth.

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SUMMARYThis paper addresses the problems of simultaneous actuator and sensor fault estimation for a class of descriptor linear parameter varying systems. By extending the sensor fault as an auxiliary state, the original system can be transformed into a descriptor one. Then, by the using of H 1 optimization technique, a reduced-order observer is developed with a new defining variable. The proposed approach is based on the parameterizations of the obtained algebraic constraints from the error equation. By using the designed reduced-order observer and super twisting algorithm, the actuator fault can be reconstructed via a polytopic algebraic method. Finally, a simulation example of electric network is given to illustrate the validation of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Simultaneous actuator and sensor fault estimation for descriptor LPV system based on H _∞ reduced-order observer

Zhu

2015

Optim. Control Appl. Meth.

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“…Another approach (Mazenc and Dinh, 2014;Thabet et al, 2014) consists in defining interval observers. Modeling observer systems by Takagi-Sugeno decomposition (Bezzaoucha et al, 2013;Guerra et al, 2015) is another possibility, as is the use of models with symmetries and semi-invariants (Menini and Tornambè, 2011).…”

Section: B Schwaller Et Almentioning

confidence: 99%

State estimation for MISO non–linear systems in controller canonical form

Schwaller

Ensminger

Dresp-Langley

et al. 2016

International Journal of Applied Mathematics and Computer Science

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We propose a new observer where the model, decomposed in generalized canonical form of regulation described by Fliess, is dissociated from the part assuring error correction. The obtained stable exact estimates give direct access to state variables in the form of successive derivatives. The dynamic response of the observer converges exponentially, as long as the nonlinearities are locally of Lipschitz type. In this case, we demonstrate that a quadratic Lyapunov function provides a number of inequalities which guarantee at least local stability. A synthesis of gains is proposed, independent of the observation time scale. Simulations of a Düffing system and a Lorenz strange attractor illustrate theoretical developments.

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“…Furthermore, the coefficient matrix K 3i in (43) can be expressed as K 3i = Z 3i Y −1 . Remark 7: As pointed out in [11], a logarithmically spaced search ε, η ∈ {10 −6 , 10 −5 , · · · , 10 6 } is used to avoid optimization technique to search for ε and η. As a result, the conditions in Theorems 1 and 3, Corollary 1 are linear matrix inequalities.…”

Section: Corollary 1: If (34) and The Following Matrix Inequalitiesmentioning

confidence: 99%

Robust Stabilization of T–S Fuzzy Stochastic Descriptor Systems via Integral Sliding Modes

Zhang

Yan

et al. 2018

IEEE Trans. Cybern.

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Abstract-This paper addresses the robust stabilisation problem for T-S fuzzy stochastic descriptor systems using an integral sliding mode control paradigm. A classical integral sliding mode control scheme and a non-parallel distributed compensation (Non-PDC) integral sliding mode control scheme are presented. It is shown that two restrictive assumptions previously adopted developing sliding mode controllers for T-S fuzzy stochastic systems are not required with the proposed framework. A unified framework for sliding mode control of T-S fuzzy systems is formulated. The proposed Non-PDC integral sliding mode control scheme encompasses existing schemes when the previously imposed assumptions hold. Stability of the sliding motion is analysed and the sliding mode controller is parameterised in terms of the solutions of a set of linear matrix inequalities (LMIs) which facilitates design. The methodology is applied to an inverted pendulum model to validate the effectiveness of the results presented.Index Terms-T-S fuzzy stochastic descriptor systems, integral sliding mode control, robust stabilisation, non-parallel distributed compensation (Non-PDC), inverted pendulum.

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Observer design for Takagi–Sugeno descriptor models: An LMI approach

Cited by 101 publications

References 28 publications

Simultaneous actuator and sensor fault estimation for descriptor LPV system based on H _∞ reduced-order observer

Simultaneous actuator and sensor fault estimation for descriptor LPV system based on H _∞ reduced-order observer

State estimation for MISO non–linear systems in controller canonical form

Robust Stabilization of T–S Fuzzy Stochastic Descriptor Systems via Integral Sliding Modes

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Observer design for Takagi–Sugeno descriptor models: An LMI approach

Cited by 101 publications

References 28 publications

Simultaneous actuator and sensor fault estimation for descriptor LPV system based on H ∞ reduced-order observer

Simultaneous actuator and sensor fault estimation for descriptor LPV system based on H ∞ reduced-order observer

State estimation for MISO non–linear systems in controller canonical form

Robust Stabilization of T–S Fuzzy Stochastic Descriptor Systems via Integral Sliding Modes

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Simultaneous actuator and sensor fault estimation for descriptor LPV system based on H _∞ reduced-order observer

Simultaneous actuator and sensor fault estimation for descriptor LPV system based on H _∞ reduced-order observer