Robust finite-horizon filtering for nonlinear time-delay Markovian jump systems with weighted try-once-discard protocol

Liu, Lei; Wang, Yiwen; Ma, Lifeng; Zhang, Jie; Bo, Yuming

doi:10.1080/21642583.2018.1474396

Cited by 13 publications

(5 citation statements)

References 55 publications

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“…by exploiting (19) as well as the property of matrix eigenvalue for positive semi-definite matrices. According to (19) and ( 20), the relationship ( 15) is confirmed at the shift step (s, r) = (1, 1), that is to say, (15) holds for (s, r)…”

Section: Resultsmentioning

confidence: 99%

“…Typical scheduling policies include weighted try-once-discard (WTOD) protocol, periodic protocol, and random access protocol [22], [25], [30], [33], [34], [45]. Particularly, the WTOD protocol has been utilized in [19] where a robust filter has been designed for a type of Markovian jump systems with the aim of guaranteeing a prescribed H ∞ disturbance attenuation level. The periodic protocol has been applied in [3] to address the distributed filtering problem over sensor networks with randomly switching topologies.…”

Section: Introductionmentioning

confidence: 99%

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Robust Filtering for 2-D Systems With Uncertain-Variance Noises and Weighted Try-Once-Discard Protocols

Wang

Liang

Lam

et al. 2023

IEEE Trans. Syst. Man Cybern, Syst.

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The robust filtering problem is tackled for a class of shift-varying 2-D systems with uncertain-variance noises under the scheduling of weighted try-once-discard (WTOD) protocol. The measurements collected from the sensors are transmitted to a remote filter via a shared network. To alleviate the communication burden and obviate the network congestion, the WTOD protocol is adopted to orchestrate the data transmission, where a sensor node is solely permitted to broadcast its information to the remote filter at every transmission step. Moreover, the resilient filter is exploited to regulate the possible gain perturbation. The objective of the addressed problem is to design a robust filter in a recursive structure such that, in the simultaneous presence of the uncertain-variance noises and the WTOD protocol, the minimal upper bounds (UBs) on the filtering error variances (EVs) are developed for the considered system. First, by means of induction and stochastic analysis technique, certain UBs in terms of coupled recursive difference equations are derived for the actual EVs. Then, a proper filter is carefully designed which achieves the minimization of the obtained UBs at each step. Finally, an illustrative example is presented to verify the usefulness of the proposed protocol-based filtering method.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust Filtering for 2-D Systems With Uncertain-Variance Noises and Weighted Try-Once-Discard Protocols

Wang

Liang

Lam

et al. 2023

IEEE Trans. Syst. Man Cybern, Syst.

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“…In contrast with those traditional approaches without protocol scheduling, the introduction of communication protocol would cause some fundamental challenges to dynamic analysis. Up to now, there have been some elementary results about the MJNNs constrained by communication protocols including Round-Robin protocol (RRP), stochastic communication protocol (SCP) and weight try-once-discard protocol (WTOD protocol), see [22,23,24,25,26,27,28,29,30,31]. As such, the WTOD protocol is a kind of quadratic protocols, which differs from the periodic allocation of RRP.…”

Section: Introductionmentioning

confidence: 99%

$$H_\infty $$ State Estimation for Round-Robin Protocol-Based Markovian Jumping Neural Networks with Mixed Time Delays

Zou

et al. 2021

Neural Process Lett

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This paper discusses the H ∞ state estimation issue in regard to Markovian jumping neural networks (MJNNs) under the scheduling of the Round-Robin protocol (RRP). The model takes into account mixed time-delays, sensor nonlinearities and exogenous disturbances, making it relatively general and comprehensive. The transmission of MJNNs signals invoked a communication scheme in which the RRP is used for the data transmissions in order to avoid undesirable data collisions. Protocol-dependent state estimator modeling of a hybrid switching system with mixed time delays and disturbances is designed for the first time to achieve asymptotic tracing for the neuron state. Using the Lyapunov stability theory and several asymptotic methods, sufficient conditions for guaranteeing the asymptotic stability of the state estimation are established under the constraint of H ∞ performance. By employing a combination of matrix analysis techniques, the estimator gain matrices are calculated by the feasible solutions to the linear matrix inequalities (LMIs). Finally, a numerical example and related simulations demonstrate the validity of the proposed model. KeywordsMarkovian jumping neural networks • H ∞ state estimation • Round-Robin protocol • Mixed time delays B Bing Li

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“…Such a situation motivates our present research. It should be noted that, so far, Markovian switching systems (MSSs) have witnessed a significant progress due to the fact that MSS can describe the random abrupt changes and the environmental variance, which might be governed by a Markovian process or Markovian chain with finite modes (Liu et al, 2018;Luo et al, 2020;Ma et al, 2018;Zhang et al, 2019). During the past years, a great many of relevant results for Markovian switching neural networks (MSNNs) with time delays have been introduced (Nagamani et al, 2017;Zhang et al, 2015;T.…”

Section: Introductionmentioning

confidence: 99%

Stabilization of piecewise-homogeneous Markovian switching CVNNs with mode-dependent delays and incomplete transition rates

Liang

Gong

2020

Systems Science & Control Engineering

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This paper is devoted to the problems of exponential stability and stabilization for piece wise-homogeneous Markovian switching complex-valued neural networks with incomplete transition rates (TRs). Both the time-varying delays and the coefficient matrices are switched among finite modes governed by a piecewise-homogeneous Markov process, where the TRs of the two-level Markov processes are assumed to be time-varying during different intervals. On the basis of an appropriately chosen Lyapunov-Krasovskii functional, some modedependent sufficient conditions are presented to guarantee the unforced network to be exponentially mean-square stable. Then, by proposing certain mode-dependent state feedback controller, stabilization criteria are derived through strict mathematical proofs. At the end of the paper, numerical examples are provided to illustrate the effectiveness of the theoretical results.

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Robust finite-horizon filtering for nonlinear time-delay Markovian jump systems with weighted try-once-discard protocol

Cited by 13 publications

References 55 publications

Robust Filtering for 2-D Systems With Uncertain-Variance Noises and Weighted Try-Once-Discard Protocols

Robust Filtering for 2-D Systems With Uncertain-Variance Noises and Weighted Try-Once-Discard Protocols

$$H_\infty $$ State Estimation for Round-Robin Protocol-Based Markovian Jumping Neural Networks with Mixed Time Delays

Stabilization of piecewise-homogeneous Markovian switching CVNNs with mode-dependent delays and incomplete transition rates

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