Unknown input observers for time-varying delay Takagi–Sugeno fuzzy systems with unmeasured nonlinear consequents

Peixoto, Márcia L. C.; Nguyen, Anh‐Tu; Guerra, Thierry Marie; Palhares, Reinaldo M.

doi:10.1016/j.ejcon.2023.100830

Cited by 7 publications

(5 citation statements)

References 62 publications

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“…, C and F 0 s . • Extend the switched N-TS systems (8) to obtain the extended switched N-TS systems and construct their parameter matrices, (9), that is,…”

Section: Algorithmmentioning

confidence: 99%

“…where 𝜅 c = 10 N∕m, 𝜅 1 = 10 N∕m and 𝜅 2 = 20 N∕m are the nominal springs' stiffness; a c = 0.4, a 1 = 0.1 and a 2 = 0.2 are the spring's hardening coefficients. Assuming that x 2 (t) is unmeasured variable, and x 1 (t) ∈ [−2, 2] and x 2 (t) ∈ [−1, 1], the switched nonlinear mass-spring system can be formulated as N-TS switched systems according to the Equation (8) with 𝜎(t) ∈ {1, 2}. So, the vertices defined by the matrices:…”

Section: F I G U R Ementioning

confidence: 99%

“…In this context, switched systems have received considerable attention over the last decades and several studies have been published, covering different aspects such as stability analysis, fault diagnosis, observer design, as well as other issues in various topics. [1][2][3][4][5][6][7][8] Most switched systems include in their dynamics some nonlinear behaviour, making the application of useful linear control concepts difficult. To address this difficulty, a relevant modelling concept based on Takagi-Sugeno (T-S) models can be applied.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust state and sensor fault estimation for switched nonlinear systems based on asynchronous switched fuzzy observers

Tabbi,

Jabri,

Chekakta

et al. 2023

Adaptive Control & Signal

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SummaryThis article aims to address state and sensor fault estimation issue for a class of continuous‐time nonlinear switched systems, modelled as Takagi‐Sugeno (T‐S) models with nonlinear consequent parts and subject to norm bounded disturbances. This modelling approach helps to prevent Unmeasured Premise Variables (UPVs) problem. The primary contribution of this study consists of proposing robust asynchronous switched observers to simultaneously estimate state and sensor faults under state‐dependent switching. Based on a candidate multiple Lyapunov function, the design of the proposed observer is formulated in terms of Linear Matrix Inequalities (LMIs) conditions. These conditions are dwell‐time‐independent and less conservative compared with similar previous studies, thanks to some usual relaxation techniques and the incremental quadratic constraints applied on unmeasured nonlinear consequent parts. Another contribution consists to perform the estimation of the attraction domain of the estimation error using an optimization procedure. In order to illustrate the effectiveness of the proposed design approach, two simulation examples are considered. The first one concerns the conservatism reduction brought by our proposal compared with previous studies, while the second one is dedicated to show through an illustrative example the performance of the proposed switched T‐S observers under mismatching switching laws.

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“…, C and F 0 s . • Extend the switched N-TS systems (8) to obtain the extended switched N-TS systems and construct their parameter matrices, (9), that is,…”

Section: Algorithmmentioning

confidence: 99%

Section: F I G U R Ementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Robust state and sensor fault estimation for switched nonlinear systems based on asynchronous switched fuzzy observers

Tabbi,

Jabri,

Chekakta

et al. 2023

Adaptive Control & Signal

View full text Add to dashboard Cite

show abstract

“…However, it is often possible to know the delay functions or to characterize them, which makes it possible to avoid errors between the real system and the observer; for control actions, this estimation is not useful as it has large correction terms. Some works dealing with the design of observers for known variant delays are shown in [5,[25][26][27][28][29]. In [25], an observer is proposed for a non-linear system with state delays.…”

Section: Introductionmentioning

confidence: 99%

“…For discrete nonlinear systems with delayed states and unknown inputs, an observer is presented in [26]. The observer is designed by first transforming the nonlinear system to reconstruct the unknown signal with the knowledge of the available states, then transforming it to a Takagi-Sugeno representation, which achieves its nonlinear representation but with the possibility to use techniques for linear systems.…”

Section: Introductionmentioning

confidence: 99%

Observer for Nonlinear Systems with Time-Varying Delays: Application to a Two-Degrees-of-Freedom Helicopter

Hernández-González,

Ramírez-Rasgado,

Farza

et al. 2024

Aerospace

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This paper deals with the problem of the estimation of non-uniformly nonlinear systems with time-varying delays in the state and input. In addition, the problem of the sampled output measurement is also been addressed. Thus, an observer design for a class of uncertain, non-uniformly nonlinear systems in the presence of time-varying delay is proposed. A continuous–discrete observer based on a high-gain approach is designed to achieve undelayed estimation. Thus, sufficient conditions to ensure the convergence of the observer are obtained. The analysis is based on a Lyapunov–Krasovskii functional, which shows that the bounded observation error depends on the sizes of the known upper delay and the upper sampling rate. The performance of the proposed algorithm is evaluated by considering a control-based observer for a two-degrees-of-freedom helicopter system with a known time-varying delay and sampled output measurements.

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Adjustable Order Fault Estimation Observer Based Fault‐Tolerant Control for Nonlinear Switched Stochastic Systems With Partially Unknown Nonlinear Dynamics

Han,

Yu,

Liu

et al. 2024

Intl J Robust & Nonlinear

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The fault estimation and fault‐tolerant control problems of switching stochastic systems with partially unknown nonlinear dynamics, external disturbance, actuator, and sensor faults are studied. A new observer and disturbance observer are constructed to simultaneously estimate the system state, actuator, and sensor faults, as well as modelable disturbances. The dimensions of the proposed adjustable dimension observer are not fixed and can be adjusted within a certain range, and unknown nonlinear dynamics can be decoupled. According to estimated information, fault‐tolerant controller is designed. The sufficient condition is obtained to ensure that the root‐mean‐square gain from the disturbances to the fault reconstruction error is bounded. Finally, two simulation examples are provided to verify the effectiveness of the proposed method.

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Unknown input observers for time-varying delay Takagi–Sugeno fuzzy systems with unmeasured nonlinear consequents

Cited by 7 publications

References 62 publications

Robust state and sensor fault estimation for switched nonlinear systems based on asynchronous switched fuzzy observers

Robust state and sensor fault estimation for switched nonlinear systems based on asynchronous switched fuzzy observers

Observer for Nonlinear Systems with Time-Varying Delays: Application to a Two-Degrees-of-Freedom Helicopter

Adjustable Order Fault Estimation Observer Based Fault‐Tolerant Control for Nonlinear Switched Stochastic Systems With Partially Unknown Nonlinear Dynamics

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