Filtering for Discrete-Time Takagi–Sugeno Fuzzy Nonhomogeneous Markov Jump Systems With Quantization Effects

Hua, Mingang; Qian, Yang-Yang; Deng, Feiqi; Fei, Juntao; Cheng, Pei; Chen, Hua

doi:10.1109/tcyb.2020.2991159

Cited by 46 publications

(18 citation statements)

References 58 publications

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“…17 Moreover, if r k = 𝜌 k , then the concerned filter corresponds to the synchronous filter which means no packet dropout occurs. 24 Finally, for the specific case with 𝜌 k = r k , that is, the original mode is available at time k but may be unavailable at time k + 1, our model will degenerate to that of Tao et al 22…”

Section: Event-triggered Asynchronous Filter With Dynamic Quantizationmentioning

confidence: 99%

“…According to ( 40) and ( 41), one has (24). Since the membership functions satisfy g j (𝜗(k)) − l j h j (𝜗(k)) ≥ 0, (0 < l j ≤ 1), applying Lemma 2 for (37) and ( 38), it holds that…”

Section: And the Quantization Levels Condition Is The Same As (14) Th...mentioning

confidence: 99%

“…By selecting appropriate parameters, the filtering design will degenerate to H ∞ , l 2 − l ∞ , dissipativity and passivity filter respectively. 15,22,24 Moreover, when designing the extended dissipativity filter, conservatism has been reduced since no special requests are imposed on the form of time-varying MTPM. 3.…”

Section: Introductionmentioning

confidence: 99%

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Event‐triggered asynchronous filtering for networked fuzzy non‐homogeneous Markov jump systems with dynamic quantization

Zhu

Xie

Zhao

et al. 2022

Adaptive Control & Signal

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The asynchronous filtering problem for networked fuzzy non-homogeneous Markov jump systems is investigated, with the consideration of packet dropout and quantization. An event-triggered dynamic quantization scheme is proposed, and a stability criterion is given to ensure the stochastic stability of the filtering error systems with desired extended dissipative performance. This performance provides a unified framework in the sense that it can degenerate to H ∞ , l 2 − l ∞ , dissipativity and passivity filter, respectively, under certain parameter sets. Furthermore, an asynchronous filter design method with extended dissipative performance is given based on the proposed stability criterion. In this method, the existence of the quantizer is ensured by dynamic quantization levels and the solution scope of the filter is enlarged by a free-connection weighting matrices method. The theoretical design and analysis is finally evaluated using a practical example.

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Section: Event-triggered Asynchronous Filter With Dynamic Quantizationmentioning

confidence: 99%

Section: And the Quantization Levels Condition Is The Same As (14) Th...mentioning

confidence: 99%

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Event‐triggered asynchronous filtering for networked fuzzy non‐homogeneous Markov jump systems with dynamic quantization

Zhu

Xie

Zhao

et al. 2022

Adaptive Control & Signal

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“…Remark 6. For state-space switched systems, there only exists mode switching at switching instants (see literature [8][9][10][11][12][13][14][15][16][17][18][19][20]38 ). From Lemma 2, we can see that SSSSs with mode-dependent ranks can exhibit state jumps at switching instants due to inconsistent initial conditions.…”

Section: Theorem 2 Under (H2) Of Assumption 1 Semi-markovian Ssss (mentioning

confidence: 99%

“…5 The semi-Markovian switched systems are a class of randomly switched systems, in which the switching signal is modeled by a semi-Markovian process. 6,7 Comparing with Markovian switched systems, [8][9][10][11][12] semi-Markovian switched systems can remove the restriction of sojourn times obeying exponential distribution. For a semi-Markovian switched system, sojourn times of each subsystems can be non-exponentially distributed, and transition rates are time-varying.…”

Section: Introductionmentioning

confidence: 99%

Almost surely exponential stability of semi‐Markovian switched singular stochastic systems with mode‐dependent ranks

2021

Math Methods in App Sciences

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This paper investigated the almost surely exponential stability (ES a.s.) for semi-Markovian switched singular stochastic systems (SSSSs) with mode-dependent ranks, in which the derivative matrices E i have different ranks. Due to the constraint of consistent initial conditions, state jumps may occur at switching instants in switched singular systems. Some more general conditions for the existence and uniqueness of the solution of semi-Markovian SSSSs with mode-dependent ranks are given together with a detailed analysis of state jumps. Based on the equivalent systems transformation and multiple Lyapunov functions method, novel conditions of ES a.s. are presented for addressed systems. An example is given to explain the effectiveness of developed results.

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Secure dynamic‐event‐based filtering for descriptor nonhomogeneous Markovian jump cyber‐physical systems against hybrid cyber‐attacks

Wang,

Zhang,

Zhuang

et al. 2024

Adaptive Control & Signal

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SummaryIn this article, the issue of resilient filtering for descriptor nonhomogeneous Markovian jump cyber‐physical systems under hybrid cyber‐attacks has been studied. First, occurrences of both deception attacks and replay attacks are modeled as two mutually independent Bernoulli distributed random variables. To depress the ratio of sampled data transmissions over the network, the dynamic version of event‐triggered transmission policy is properly proposed. Then, criteria of stochastically admissible for the filtering error systems guaranteeing mixed and passive performance are addressed via linear matrix inequalities (LMIs). The gains of resilient filter and the dynamic event‐based transmission policy can be simultaneously gained by optimizing the LMIs. Finally, two examples that include a numerical example and a direct current motor system are provided to testify the feasibility and effectiveness of the developed technique.

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Filtering for Discrete-Time Takagi–Sugeno Fuzzy Nonhomogeneous Markov Jump Systems With Quantization Effects

Cited by 46 publications

References 58 publications

Event‐triggered asynchronous filtering for networked fuzzy non‐homogeneous Markov jump systems with dynamic quantization

Event‐triggered asynchronous filtering for networked fuzzy non‐homogeneous Markov jump systems with dynamic quantization

Almost surely exponential stability of semi‐Markovian switched singular stochastic systems with mode‐dependent ranks

Secure dynamic‐event‐based filtering for descriptor nonhomogeneous Markovian jump cyber‐physical systems against hybrid cyber‐attacks

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