Exponential $H_{\infty}$ Filtering for Singular Markovian Jump Systems With Mixed Mode-Dependent Time-Varying Delay

Wang, Yueying; Shi, Peng; Wang, Quanbao; Duan, Dengping

doi:10.1109/tcsi.2013.2246253

Cited by 90 publications

(46 citation statements)

References 32 publications

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“…Then, following the similar procedures in the work of Wang et al, 39 it is easy to prove that system (6) with (t) = 0 is mean-square exponential admissible. To show the  ∞ performance of system (6), we can consider stochastic LKF (15).…”

Section: Exponential Admissibility and  ∞ Performance Analysismentioning

confidence: 84%

“…Remark It should be pointed out that for SMJSs with time‐varying delays, a delay partitioning approach was used in the works of Wu et al and Wang et al, where the delay interval [0, d 1 ] was partitioned into r subintervals. To further reduce the conservatism, this approach can also be applied in our work.…”

Section: Resultsmentioning

confidence: 99%

“…Since the similar work has existed in the works of Wu et al 31 and Wang et al 39 for SMJSs with time-varying delays and the complexity of condition (7) to (12) will increase with the partitioning size increasing, we do not use this approach in our work.…”

Section: Exponential Admissibility and  ∞ Performance Analysismentioning

confidence: 99%

“…In the work of Wu et al, the problem of

H_{\infty}

filtering for SMJSs with constant time delays and uncertain transition jump rates was investigated and mode‐independent filter was designed for the considered system; mode‐dependent

H_{\infty}

filters were designed for a class of SMJSs with time‐varying delays in the work of Wu et al, where the filtering error system was guaranteed to be mean‐square exponentially admissible and satisfied a prescribed

H_{\infty}

performance index. By a delay‐partitioning approach, delay‐dependent and decay‐rate‐dependent existence conditions of exponential

H_{\infty}

filtering were obtained for SMJSs with mixed mode‐dependent time‐varying delays in the work of Wang et al; the problem of

H_{\infty}

deconvolution filtering was dealt with in the work of Zhuang et al for uncertain SMJSs with time‐varying delays; Wang et al and Yang et al investigated the

H_{\infty}

filtering problem for time‐varying‐delay SMJSs with uncertain transition probabilities and general uncomplete transition probabilities, respectively. Although there have existed quite a few results on the problem of

H_{\infty}

filtering for continuous SMJSs with time‐varying delays, to the best of the authors' knowledge, this problem still has not been fully investigated.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Reliable exponential filtering for singular Markovian jump systems with time‐varying delays and sensor failures

Liu

Park

et al. 2018

Intl J Robust & Nonlinear

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Summary This paper deals with the problem of exponential H∞ filtering for singular Markovian jump systems with time‐varying delays subject to sensor failures. The main objective is to design a reliable filtering such that the considered filtering error system in the presence of a time‐varying delay and sensor failures is mean‐square exponentially admissible with a specified decay rate and simultaneously satisfies an H∞ performance. First, the delay interval is partitioned into m subintervals and a novel mode‐dependent stochastic Lyapunov‐Krasovskii functional is constructed. By using the reciprocally convex inequality in each subinterval, sufficient conditions of exponential H∞ performance analysis are developed for the considered filtering error system. Then, based on these conditions, the existence conditions of the desired reliable filter are derived and the filter parameters are obtained. It should be mentioned that all the results presented here are not only dependent on the time delay but also dependent on the decay rate and the partitioning size. Furthermore, all the conditions are established in terms of strict linear matrix inequalities. Finally, two numerical examples are given to illustrate the less conservatism and effectiveness of the proposed methods.

show abstract

Section: Exponential Admissibility and  ∞ Performance Analysismentioning

confidence: 84%

Section: Resultsmentioning

confidence: 99%

Section: Exponential Admissibility and  ∞ Performance Analysismentioning

confidence: 99%

“…In the work of Wu et al, the problem of

H_{\infty}

filtering for SMJSs with constant time delays and uncertain transition jump rates was investigated and mode‐independent filter was designed for the considered system; mode‐dependent

H_{\infty}

H_{\infty}

performance index. By a delay‐partitioning approach, delay‐dependent and decay‐rate‐dependent existence conditions of exponential

H_{\infty}

filtering were obtained for SMJSs with mixed mode‐dependent time‐varying delays in the work of Wang et al; the problem of

H_{\infty}

deconvolution filtering was dealt with in the work of Zhuang et al for uncertain SMJSs with time‐varying delays; Wang et al and Yang et al investigated the

H_{\infty}

H_{\infty}

filtering for continuous SMJSs with time‐varying delays, to the best of the authors' knowledge, this problem still has not been fully investigated.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reliable exponential filtering for singular Markovian jump systems with time‐varying delays and sensor failures

Liu

Park

et al. 2018

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…Still, there is no such iterative procedure reported in literature used for the design of CM TMUX by means of WCLS, which is capable to decrease the computation time, contrary in low number of iteration, and in addition, will also reduce the ICI, ISI, and maximize SICI, SISI, SI [31]. New proposed methods of filter design, transmultiplexer and its applications are given in [35][36][37][38][39][40][41]. In this article, a WCLS based method is obtainable for designing CM TMUX through the given stop band attenuation, pass band ripple and channel overlapping.…”

Section: Introductionmentioning

confidence: 99%

A prototype filter design for cosine modulated transmultiplexer using weighted constrained least squares technique

Vishwakarma

Kumar

Singh

2015

AEU - International Journal of Electronics and Communications

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A unified filter for singular Markovian jump systems with mixed delays based on an extended free‐matrix‐based inequality approach

Tian

Wang

2020

Adaptive Control & Signal

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In this article, the problem of unified filters design including H ∞ , L 2 − L ∞ , passive, dissipative filters and their reduced-order ones is addressed for continuous-time singular Markovian jump systems with discrete and distributed delays. Unlike some existing works, the mixed delays can be fully captured by proposing an extended free-matrix-based integral inequality. By considering two cases of distributed delays, two novel criteria are presented to ensure the filtering error system to be stochastically admissible and extended dissipative. Some numerical examples are provided to illustrate the effectiveness of the unified filter design methods. K E Y W O R D S extended free-matrix-based integral inequality, singular Markovian jump systems, time-varying delays, unified filters

show abstract

Exponential $H_{\infty}$ Filtering for Singular Markovian Jump Systems With Mixed Mode-Dependent Time-Varying Delay

Cited by 90 publications

References 32 publications

Reliable exponential filtering for singular Markovian jump systems with time‐varying delays and sensor failures

Reliable exponential filtering for singular Markovian jump systems with time‐varying delays and sensor failures

A prototype filter design for cosine modulated transmultiplexer using weighted constrained least squares technique

A unified filter for singular Markovian jump systems with mixed delays based on an extended free‐matrix‐based inequality approach

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