Fuzzy Control Under Spatially Local Averaged Measurements for Nonlinear Distributed Parameter Systems With Time-Varying Delay

Wang, Zipeng; Wu, Huai‐Ning; Li, Han-Xiong

doi:10.1109/tcyb.2019.2916656

Cited by 26 publications

(4 citation statements)

References 36 publications

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“…To deal with nonlinear function, systems () is linearized by employing IF‐THEN fuzzy rules (see Wang et al 14,51 ):…”

Section: Problem Statementmentioning

confidence: 99%

“…However, blindly saving network transmission resources may affect the systems' performance, which is vulnerable to various uncertainties in the network. Therefore, a HDM is applied for networked PDE systems to balance the systems' performance and limited network resource consumption according to the Bernoulli variable switching TTM and DETM. To model the cyber attacks' randomness, inspired by Liu et al 48 and Kordestani et al, 38 the DCAs model consists of Bernoulli distributed deception attacks and DoS attacks, introduced in the filter design for networked PDE systems. Based on the non‐PDC technique, 51,52 the mismatch of premise variables and fuzzy sets between the original system and filter is considered, and a criterion is proposed for fuzzy secure filter design under the HDM and DCAs.…”

Section: Introductionmentioning

confidence: 99%

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Hybrid‐driven‐based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks

Zhang

Song

Sun

et al. 2022

Adaptive Control & Signal

100

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The problem of hybrid-driven fuzzy filtering for nonlinear semi-linear parabolic partial differential equation systems with dual cyber attacks is investigated.First, a Takagi-Sugeno (T-S) fuzzy model is employed to reconstruct the original nonlinear systems. Second, a hybrid-driven mechanism is applied for filter design to balance the systems' performance and the limited network resource consumption under dual cyber attacks composed of deception and denial of service attacks. Based on the Lyapunov direct method, sufficient conditions to guarantee the stability of the augmented system are obtained, and the parameters of the designed filter are earned with explicit form. Finally, a simulation example with robust analysis and comparative analysis is provided to illustrate the effectiveness of the proposed method.

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“…To deal with nonlinear function, systems () is linearized by employing IF‐THEN fuzzy rules (see Wang et al 14,51 ):…”

Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hybrid‐driven‐based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks

Zhang

Song

Sun

et al. 2022

Adaptive Control & Signal

100

View full text Add to dashboard Cite

show abstract

“…Therefore, it is of both practical and theoretical significance to investigate the dynamical analysis problem for DPSs. In the past few years, a great deal of research efforts have been made on this topic and a rich body of results have been reported in the literature, see for example, References 7‐11.…”

Section: Introductionmentioning

confidence: 99%

Stubborn state estimation for nonlinear distributed parameter systems subject to measurement outliers

Sun

Shen

et al. 2021

Intl J Robust & Nonlinear

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In this article, the H∞ state estimation problem is investigated for a class of distributed parameter systems (DPSs). In order to estimate the state of DPSs, we give a partition of spatial interval with a finite sequence and, on each subinterval, one sensor is placed to receive the measurements from the DPS. Due to the unexpected environment changes, the measurements will probably contain some outliers. To eliminate the effects of the possibly occurring outliers, we construct a stubborn state estimator where the innovation is constrained by a saturation function. By using Lyapunov functional, Wirtinger inequality and piecewise integration, some sufficient conditions are obtained under which the resulting estimation error system is exponentially stable and the H∞ performance requirement is satisfied. According to the obtained analysis results, the desired H∞ state estimator is designed in terms of the solution to a set of matrix inequalities. Finally, a numerical simulation example is given to verify the effectiveness of the proposed state estimation scheme.

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“…Control problem of DPSs has attracted extensive attention due to the important applications in engineering systems, such as the vibration control of flexible structures that the vibration process can be described by Euler-Bernoulli equations, the diffusion control of oil spill that the diffusion phenomena can be described by diffusion equations, and the temperature control of heating furnace that the thermal conduction process can be described by heat equations. In recent decades, fruitful achievements in the design of DPSs control have been achieved from many scholars all over the world [5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Robust H_∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement

2021

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In this paper, a robust H ∞ control problem of a class of linear parabolic distributed parameter systems (DPSs) with pointwise/piecewise control and pointwise/piecewise measurement has been investigated via the robust H ∞ feedback compensator design approach. A unified Lyapunov direct approach is proposed in consideration of the pointwise/piecewise control and point/piecewise measurement based on the distributions of the actuators and sensors. A new type of Luenberger observer is developed on the continuous interval of space domain to track the state of the system, and an H ∞ performance constraint with prescribed H ∞ attenuation levels is proposed in this paper. By utilizing Lyapunov technique, mathematical inequalities, and integration theory, a sufficient condition based on LMI for the exponential stability of the corresponding closed-loop coupled system under an H ∞ performance constraint is presented. Finally, the effectiveness of the proposed design method is verified by numerical simulation results.

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Fuzzy Control Under Spatially Local Averaged Measurements for Nonlinear Distributed Parameter Systems With Time-Varying Delay

Cited by 26 publications

References 36 publications

Hybrid‐driven‐based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks

Hybrid‐driven‐based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks

Stubborn state estimation for nonlinear distributed parameter systems subject to measurement outliers

Robust H_∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement

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Fuzzy Control Under Spatially Local Averaged Measurements for Nonlinear Distributed Parameter Systems With Time-Varying Delay

Cited by 26 publications

References 36 publications

Hybrid‐driven‐based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks

Hybrid‐driven‐based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks

Stubborn state estimation for nonlinear distributed parameter systems subject to measurement outliers

Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement

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Product

Resources

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Robust H_∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement