Fault Detection for T-S Fuzzy Time-Delay Systems: Delta Operator and Input-Output Methods

Li, Hongyi; Gao, Yabin; Wu, Ligang; Lam, Hak‐Keung

doi:10.1109/tcyb.2014.2323994

Cited by 222 publications

(88 citation statements)

References 32 publications

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“…For a class of time-delay systems with mismatched parametric uncertainties, Xia et al 23 investigated the robust sliding-mode control. An output-tracking control scheme of delta operator time-delay systems was presented in Gao et al 24 By using the T-S fuzzy model, the fault detection problem was concentered in Li et al 25 for nonlinear delta operator systems. Very little results have been reported on delta operator-based fuzzy controller in literatures, such as time-delay system.…”

Section: Introductionmentioning

confidence: 99%

Memory-based passive control design for complex networked fuzzy delta operator systems

Zhao

Yan

Shen

2017

Advances in Mechanical Engineering

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This article investigates the memory-based state-feedback control with strict passivity performance for nonlinear systems in delta domain. Takagi-Sugeno fuzzy model of delta operator form is adopted as an approximator of the investigated nonlinear plant with system perturbations/exogenous disturbances. The nonlinear output of the plant, which is accompanied with complex exogenous disturbances, is formulated as the passive output satisfying a pre-designed strict passivity performance. The memory-based state-feedback controller is expressed with a known memory coefficient to significant the influence of the delayed states. The resulting closed-loop system is inferred as a time-varying delay system, of which the stability and passivity criterion is carried out via a general fuzzy Lyapunov-Krasovskii functional approach. Then, parametric gains of the desired strictly passive memory-based controller are designed subject to a set of solvable matrix inequalities. Finally, a numerical example shows the validity of the proposed memory-based passive control method.

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Section: Introductionmentioning

confidence: 99%

Memory-based passive control design for complex networked fuzzy delta operator systems

Zhao

Yan

Shen

2017

Advances in Mechanical Engineering

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“…Finally, we test the effectiveness of the proposed FF-MRLS algorithm with three numerical examples. The proposed FF-MRLS algorithm can be extended to study identification for Wiener models, and state space models [53,55,56] and can be applied to other fields [24,38,54].…”

Section: Introductionmentioning

confidence: 99%

A Multi-innovation Recursive Least Squares Algorithm with a Forgetting Factor for Hammerstein CAR Systems with Backlash

Shi

Wang

2016

Circuits Syst Signal Process

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This study addresses the identification of Hammerstein CAR systems with backlash, where the nonlinear backlash is described as one regression identification model using a two switching function mathematical model. In such a case, the Hammerstein CAR systems with backlash can be transformed into a piecewise linearized model. Then, a novel multi-innovation recursive least squares algorithm with a forgetting factor is applied to estimate the parameters of the proposed model. Finally, numerical examples are presented to test the performance of the proposed algorithm.

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“…Since the nonlinear system can be modelled as a weighted total of combined linear sub-models via T-S fuzzy modelling, researchers have put a great deal of efforts into T-S fuzzy systems and numerous achievements have been obtained in this research field. To mention a few, the receding horizon disturbance attenuation analysis and dynamic decoupling are studied in [2,7], the fuzzy controllers are designed for nonlinear systems in [16,32,34,42], the the fault detection and H ∞ synchronization problem are solved in [17,30], the fuzzy-rule-dependent stability analysis and control problems are studied in [11,12,13,18], and the fuzzy filtering problems with the given pre-specified performance are investigated in [1,44].…”

Section: Introductionmentioning

confidence: 99%

Reduced-order model approximation of fuzzy switched systems with pre-specified performance

Liu

Song

et al. 2016

Information Sciences

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The reduced-order model approximation problem for discrete-time hybrid switched nonlinear systems is addressed via TakagiSugeno (T-S) fuzzy modelling in this paper. For a high-dimension hybrid switched nonlinear system, our aim is on how to construct a reduced-dimension hybrid switched model, approximating its original high-order model well with a pre-specified system performance level. Firstly, the mean-square exponential stability analysis is provided, in which it guarantees the given weighted H ∞ system performance level for the augmented error dynamic system by the average dwell time analysis approach and the hybrid switched Lyapunov stability theory. The solution of corresponding model reduction problem with pre-specified performance is given by using the projection Lemma, by which the algorithm of the reduced-order hybrid switched model parameters are designed by the cone complementary linearization technique. Finally, the advantage and effectiveness of the proposed reduced-order model approximation approach are shown by the simulation result.

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Fault Detection for T-S Fuzzy Time-Delay Systems: Delta Operator and Input-Output Methods

Cited by 222 publications

References 32 publications

Memory-based passive control design for complex networked fuzzy delta operator systems

Memory-based passive control design for complex networked fuzzy delta operator systems

A Multi-innovation Recursive Least Squares Algorithm with a Forgetting Factor for Hammerstein CAR Systems with Backlash

Reduced-order model approximation of fuzzy switched systems with pre-specified performance

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