Finite‐time energy‐to‐peak filtering for Markov jump repeated scalar non‐linear systems with packet dropouts

Shen, Hao; Wu, Zheng‐Guang; Park, Ju H.

doi:10.1049/iet-cta.2013.1068

Cited by 41 publications

(16 citation statements)

References 45 publications

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“…Under such a concept, the finite‐time analysis and synthesis methods for many models were presented in . Particularly, in the context of discrete‐time MJSs, many available conditions for the solvability of the finite‐time

{scriptℋ}_{\infty}

filtering problem were obtained, for example, in . Unfortunately, these conditions fail when the finite‐time asynchronous

{scriptℋ}_{\infty}

filtering problem over a lossy network is addressed.…”

Section: Introductionmentioning

confidence: 99%

Finite-time asynchronous ℋ∞ filtering for discrete-time Markov jump systems over a lossy network

Shen

et al. 2016

Int. J. Robust. Nonlinear Control

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Summary This paper is concerned with the problem of finite‐time asynchronous scriptℋ∞ filtering for a class of discrete‐time Markov jump systems. The communication links between the system and filter are assumed to be unreliable, which lead to the simultaneous occurrences of packet dropouts, time delays, sensor nonlinearity and nonsynchronous modes. The objective is to design a filter that ensures not only the mean‐square stochastic finite‐time bounded but also a prescribed level of scriptℋ∞ performance for the underlying error system over a lossy network. With the help of the Lyapunov–Krasovskii approach and stochastic analysis theory, sufficient conditions are established for the existence of an admissible filter. By using a novel simple matrix decoupling approach, a desired asynchronous filter can be constructed. Finally, a numerical example is presented and a pulse‐width‐modulation‐driven boost converter model is employed to demonstrate the effectiveness of the proposed approach. Copyright © 2016 John Wiley & Sons, Ltd.

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{scriptℋ}_{\infty}

filtering problem were obtained, for example, in . Unfortunately, these conditions fail when the finite‐time asynchronous

{scriptℋ}_{\infty}

filtering problem over a lossy network is addressed.…”

Section: Introductionmentioning

confidence: 99%

Finite-time asynchronous ℋ∞ filtering for discrete-time Markov jump systems over a lossy network

Shen

et al. 2016

Int. J. Robust. Nonlinear Control

Self Cite

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“…As a result, it is more pragmatic to depict such RSNSs taking advantage of the Markov jump model. Hitherto, some control and filtering issues about Markov jump RSNSs (MJRSNSs) have been investigated [9].…”

Section: Introductionmentioning

confidence: 99%

Generalised dissipative asynchronous output feedback control for Markov jump repeated scalar non‐linear systems with time‐varying delay

Wang

Huo

Xia

et al. 2019

IET Control Theory & Applications

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“…In [ 32 – 34 ], many interesting results for finite-time stability of various types of systems can be found. Recently, an extended finite-time control problem for uncertain switched linear neutral systems with time-varying delays was investigated in [ 27 ], and also the concept of time-varying delays was proposed in [ 22 , 35 ]. The results for finite-time stabilization of neural networks with discontinuous activations was proposed in [ 36 ].…”

Section: Introductionmentioning

confidence: 99%

Enhanced robust finite-time passivity for Markovian jumping discrete-time BAM neural networks with leakage delay

et al. 2017

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This paper is concerned with the problem of enhanced results on robust finite-time passivity for uncertain discrete-time Markovian jumping BAM delayed neural networks with leakage delay. By implementing a proper Lyapunov-Krasovskii functional candidate, the reciprocally convex combination method together with linear matrix inequality technique, several sufficient conditions are derived for varying the passivity of discrete-time BAM neural networks. An important feature presented in our paper is that we utilize the reciprocally convex combination lemma in the main section and the relevance of that lemma arises from the derivation of stability by using Jensen’s inequality. Further, the zero inequalities help to propose the sufficient conditions for finite-time boundedness and passivity for uncertainties. Finally, the enhancement of the feasible region of the proposed criteria is shown via numerical examples with simulation to illustrate the applicability and usefulness of the proposed method.

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Finite‐time energy‐to‐peak filtering for Markov jump repeated scalar non‐linear systems with packet dropouts

Cited by 41 publications

References 45 publications

Finite-time asynchronous ℋ∞ filtering for discrete-time Markov jump systems over a lossy network

Finite-time asynchronous ℋ∞ filtering for discrete-time Markov jump systems over a lossy network

Generalised dissipative asynchronous output feedback control for Markov jump repeated scalar non‐linear systems with time‐varying delay

Enhanced robust finite-time passivity for Markovian jumping discrete-time BAM neural networks with leakage delay

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