Event-Triggered and Asynchronous Reduced-Order Filtering Codesign for Fuzzy Markov Jump Systems

Tao, Jie; Xiao, Zehui; Rao, Hongxia; Wu, Jun; Lu, Renquan; Shi, Peng

doi:10.1109/tsmc.2021.3079467

Cited by 20 publications

(11 citation statements)

References 38 publications

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“…From Tables 1 and 2, it can be found that the dissipativity performance deteriorates as the event threshold Γ g increase. Furthermore, Corollary 1 provides better performance levels than those of Theorem 2 in [26] for all n x ∈ {1, 2}. In particular, the effect of Corollary 1 become more pronounced as the order of the filter increases.…”

Section: Illustrative Examplesmentioning

confidence: 89%

“…where G ( θ) = U (3) ( θ)G ( θ) and F ( θ) = U (3) ( θ)F ( θ). Therefore, condition (36) boils down to (26), which becomes the stochastic stability and strict (Q, S, R)-β-dissipativity condition.…”

Section: Asynchronous Mode-dependent Filter Designmentioning

confidence: 99%

“…In this section, two examples are presented: the first example assumes H g = ∅ (i.e., H g = N α ) and δ(k) ≡ 0 (i.e., η(s p ) = η(k)) for comparison with previous studies, but the second example shows our results for the case where the assumptions of the first example are not enforced. Tables 1 and 2 show the maximum dissipativity performance levels β for n x ∈ {1, 2} and several Γ g , obtained by Theorem 2 in [26] and Corollary 1, where Q = −0.36, S = −4, R = 5. From Tables 1 and 2, it can be found that the dissipativity performance deteriorates as the event threshold Γ g increase.…”

Section: Illustrative Examplesmentioning

confidence: 99%

“…To realize this, two additional design requirements must be considered along with the filter design problem: (i) one is that the current system operation mode cannot be precisely used for filter operation, and (ii) the other is that the current premise variables of FBF cannot be accurately obtained real-time. In [26], a study of event-triggered and reduced-order filtering for homogeneous FMJSs was performed with consideration of asynchronous filter modes. In addition, Ref.…”

Section: Introductionmentioning

confidence: 99%

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Event-Triggered Non-PDC Filter Design of Fuzzy Markovian Jump Systems under Mismatch Phenomena

Nguyen

Kim

2022

Mathematics

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This paper focuses on dealing with the problem of co-designing a fuzzy-basis-dependent event generator and an asynchronous filter of fuzzy Markovian jump systems via event-triggered non-parallel distribution compensation (non-PDC) scheme. The introduction of the event-triggered non-PDC scheme can reduce the number of real-time filter gain design operations with a large computational load. Furthermore, to perform an effective relaxation process, several kinds of time-varying parameters in filter design conditions are simultaneously relaxed by utilizing two zero equalities of transition probabilities and mismatch errors. In addition, to improve the considered performance, the event generation function is established based on fuzzy-basis-dependent event weighting matrices.

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Section: Illustrative Examplesmentioning

confidence: 89%

Section: Asynchronous Mode-dependent Filter Designmentioning

confidence: 99%

Section: Illustrative Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Event-Triggered Non-PDC Filter Design of Fuzzy Markovian Jump Systems under Mismatch Phenomena

Nguyen

Kim

2022

Mathematics

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“…This proof is divided into three parts, firstly, the conclusion that system ( 21) is regular and impulse-free is proved. From (24), it can be obtained that…”

Section: Finite-time Boundedness Analysismentioning

confidence: 99%

Reduced‐order observer‐based finite‐time control for one‐sided Lipschitz nonlinear switched singular systems

Shi,

Yang,

2024

Intl J Robust & Nonlinear

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SummaryThe reduced‐order observer‐based finite‐time control problem for one‐sided Lipschitz nonlinear switched singular systems is addressed in this paper. First, the design method of the reduced‐order observer is given via state transformation. Then, based on the average dwell time (ADT) approach, some new sufficient conditions for regularity, impulse‐freeness, have a unique solution and finite‐time boundedness (FTB) of the dynamic augmented systems are obtained by exploring the reduced‐order observer‐based controller. Further, the lower finite‐time bound can be obtained by using singular value decomposition method. And the state feedback gain and the observer gain are computed by solving linear matrix inequalities (LMIs). Finally, the validity of the obtained method is illustrated by means of a numerical example and a DC motor system.

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Event‐triggered H_∞ and reduced‐order asynchronous filtering for fuzzy Markov jump systems with time‐varying delays

Vigneshwar,

Ali,

Perumal

et al. 2024

Optim Control Appl Methods

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The challenge of and asynchronous reduced‐order design for Takagi‐Sugeno (T‐S) fuzzy Markovian jump systems (MJSs) with time‐varying delays under the event‐triggered scheme (ETS) is investigated in this dissertation. A distributed event‐triggered strategy is provided on the basis of the specified triggering function to ensure consensus in the system, so effectively reducing data transmission. The existence conditions for a class of Markovian jump discrete‐time systems are determined. Unlike previous results, we present a novel membership function‐dependent fuzzy Lyapunov‐Krasovsikii (L‐K) functional with mode‐dependent integral terms, resulting in a stochastically stable filtering error system with the desired performance. By solving linear matrix inequality (LMIs), the recommended filter parameters are achieved. The proposed reduced‐order filter is demonstrated in numerical examples as effective as it is advantageous.

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Event-Triggered and Asynchronous Reduced-Order Filtering Codesign for Fuzzy Markov Jump Systems

Cited by 20 publications

References 38 publications

Event-Triggered Non-PDC Filter Design of Fuzzy Markovian Jump Systems under Mismatch Phenomena

Event-Triggered Non-PDC Filter Design of Fuzzy Markovian Jump Systems under Mismatch Phenomena

Reduced‐order observer‐based finite‐time control for one‐sided Lipschitz nonlinear switched singular systems

Event‐triggered H_∞ and reduced‐order asynchronous filtering for fuzzy Markov jump systems with time‐varying delays

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Event-Triggered and Asynchronous Reduced-Order Filtering Codesign for Fuzzy Markov Jump Systems

Cited by 20 publications

References 38 publications

Event-Triggered Non-PDC Filter Design of Fuzzy Markovian Jump Systems under Mismatch Phenomena

Event-Triggered Non-PDC Filter Design of Fuzzy Markovian Jump Systems under Mismatch Phenomena

Reduced‐order observer‐based finite‐time control for one‐sided Lipschitz nonlinear switched singular systems

Event‐triggered H∞ and reduced‐order asynchronous filtering for fuzzy Markov jump systems with time‐varying delays

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Event‐triggered H_∞ and reduced‐order asynchronous filtering for fuzzy Markov jump systems with time‐varying delays