Distributed optimal fusion filtering for singular systems with random transmission delays and packet dropout compensations

Hu, Jun; Wang, Chen; Caballero-Águila, Raquel; Liu, Hongjian

doi:10.1016/j.cnsns.2023.107093

Cited by 33 publications

(12 citation statements)

References 47 publications

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“…Therefore, a great number of literature has been reported to reduce the adverse effect caused by time-delays. [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] For example, in the presence of constant time delays, 29 investigated the robust H ∞ control problem for a class of stochastic uncertain discrete time-delay systems with missing measurements 30 concerned with the event-triggered H ∞ admissible analysis and controller synthesis for discrete delayed singular Markovian jump network systems with output quantizations. In Reference 31, the problem of robust H ∞ filtering was concerned for linear continuous-time systems with polytopic parameter uncertainties and time-varying delay in the state.…”

Section: Introductionmentioning

confidence: 99%

Saturated H∞ control of networked systems under stochastic transmission delays: The random sampling periods case

Chen,

Song,

et al. 2024

Intl J Robust & Nonlinear

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In this paper, the saturated control problems of networked systems with random sampling periods and stochastic transmission delays are investigated. The main issue is to design an saturated controller such that the controlled close‐loop system is exponentially mean‐square stable with a desired performance. A matrix exponential which is different from some existing literature is used to reconstruct the discrete‐time stochastic system to an equivalent yet tractable augmented model without any additional conditional constraint. In virtue of reduced‐order confluent Vandermonde matrix approach and Kronecker product operation, the stability condition in terms of linear matrix inequality is derived and then the desired saturated controller is designed. It should be emphasized that the improved method can also be used for the stability analysis and controller design when the system matrix contains complex roots. Finally, two numerical examples and a three‐axis milling machine system are utilized to manifest the reliability and practicality of the designed strategy.

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Section: Introductionmentioning

confidence: 99%

Saturated H∞ control of networked systems under stochastic transmission delays: The random sampling periods case

Chen,

Song,

et al. 2024

Intl J Robust & Nonlinear

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“…[24][25][26][27][28] For packet dropout issues, fruitful results have been developed for FD and filtering problems. [29][30][31] To illustrate, an FD approach for networked system subject to packet dropouts has been presented in the work of Kargar et al, 32 where the desired filter gain matrices have been acquired by solving certain linear matrix inequalities (LMIs). For the sake of investigating the FD problem for delayed networked system under the influence of multiple packet dropouts, in the work of Wang et al, 33 the input-output approach and Lyapunov theory have been used to obtain sufficient criteria to ensure the stability of the residual system with prescribed H ∞ performance.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, on account of the influence of network congestion, signal bandwidth limitation and some other reasons, packet dropouts may occur in the transmission unavoidably 24‐28 . For packet dropout issues, fruitful results have been developed for FD and filtering problems 29‐31 . To illustrate, an FD approach for networked system subject to packet dropouts has been presented in the work of Kargar et al, 32 where the desired filter gain matrices have been acquired by solving certain linear matrix inequalities (LMIs).…”

Section: Introductionmentioning

confidence: 99%

Finite‐time fault detection for nonlinear delayed system with dynamic quantization and multiple packet dropouts

Zhao

2023

Optim Control Appl Methods

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The attention of this article is mainly paid to the finite‐time fault detection (FD) problem for nonlinear delayed system with dynamic quantization and multiple packet dropouts. The probabilistic interval time‐varying delay is addressed, which might fall into two intervals with known probability. The measurement signals are quantized by a dynamic quantizer and then transmitted over communication network, where the multiple packet dropouts might occur. The main objective of the considered problem is to design a finite‐time FD filter such that the FD system is stochastically finite‐time stable (SFTS) with guaranteed performance in the presence of probabilistic interval time‐varying delay, dynamic quantization and multiple packet dropouts. Based on Lyapunov stability theory, sufficient criteria for the presence of the desired finite‐time FD filter are presented. Afterwards, the desired filter gain matrices are given via solving certain linear matrix inequalities (LMIs). Finally, a simulation example is used to show the applicability of the obtained finite‐time FD algorithm.

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“…[1][2][3] Additionally, time-delay is an inevitable phenomenon in many engineering systems that may cause performance degradations or even instability. [4][5][6] In the past two decades, a large number of literatures on time-delay MJSs have been reported in the fields of filtering, estimation, control and so on. [7][8][9][10] On the other hand, fault is a serious threat to the system safety, which may cause huge losses if it occurs but cannot be detected in time.…”

Section: Introductionmentioning

confidence: 99%

“…Markov jump systems (MJSs) have excellent ability to describe the sudden changes of system parameters or structures, so that it has significant applications in many fields 1‐3 . Additionally, time‐delay is an inevitable phenomenon in many engineering systems that may cause performance degradations or even instability 4‐6 . In the past two decades, a large number of literatures on time‐delay MJSs have been reported in the fields of filtering, estimation, control and so on 7‐10 .…”

Section: Introductionmentioning

confidence: 99%

Dissipative fault detection for time‐delay nonlinear Markov jump systems with measurement outliers under stochastic communication protocol

Wu,

Ma,

Feng

et al. 2023

Adaptive Control & Signal

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SummaryThis article investigates the dissipative fault detection (FD) problem for time‐delay nonlinear Markov jump systems with measurement outliers in the case of partially unknown transition probabilities. The stochastic communication protocol is utilized to save network bandwidth, where the scheduling model is described via a Markov chain. An outlier‐resistant FD filter is constructed with the help of adaptive saturation function technology. The sufficient conditions are derived to ensure that the FD system satisfies the stochastic stability and stochastic strict dissipativity. In addition, an FD filter without saturation constraint is also designed to compare with the outlier‐resistant FD filter, which verifies that the outlier‐resistant FD filter weakens the influence of measurement outliers effectively. Finally, two examples are provided to demonstrate the feasibility and effectiveness of the designed FD scheme.

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Distributed optimal fusion filtering for singular systems with random transmission delays and packet dropout compensations

Cited by 33 publications

References 47 publications

Saturated H∞ control of networked systems under stochastic transmission delays: The random sampling periods case

Saturated H∞ control of networked systems under stochastic transmission delays: The random sampling periods case

Finite‐time fault detection for nonlinear delayed system with dynamic quantization and multiple packet dropouts

Dissipative fault detection for time‐delay nonlinear Markov jump systems with measurement outliers under stochastic communication protocol

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