Quantized Finite-Time Non-fragile Filtering for Singular Markovian Jump Systems with Intermittent Measurements

Sakthivel, R.; Sathishkumar, M.; Alzahrani, Faris; Ren, Yong

doi:10.1007/s00034-019-01046-9

Cited by 19 publications

(2 citation statements)

References 37 publications

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“…Therefore, finite‐time stabilization has been more meaningful than Lyapunov stabilization in practical applications, and researchers have achieved remarkable results 9,14 . In particular, the literature 15 addressed the quantized finite‐time non‐fragile mixed

{\mathscr{H}}_{\infty }

and passivity filter design problem for singular Markovian Jump systems.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time mixed ℋ∞$$ {\mathscr{H}}_{\infty } $$ and passive filtering for nonlinear singular systems under fading channels

Cai,

Chang

2024

Intl J Robust & Nonlinear

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This article focuses on the finite‐time mixed and passive filtering problem for discrete‐time singular systems with randomly occurring nonlinear perturbations. The main purpose is to design a filter, which ensures the singular error system is stochastically finite‐time bounded and satisfies mixed and passive performance. By constructing an augmented matrix, the properties of matrix determinant and rank are used to prove that the singular system is regular and causal, Finsler's lemma and Projection lemma are used in the design process to acquire additional slack variable matrices, thereby enhancing the solution space with extra degrees of freedom. Then, the unknown parameters of the filter are obtained by solving the less conservative linear matrix inequalities. Finally, the feasibility of the proposed method is verified through a common numerical example and by controlling a DC motor for an inverted pendulum.

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{\mathscr{H}}_{\infty }

and passivity filter design problem for singular Markovian Jump systems.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time mixed ℋ∞$$ {\mathscr{H}}_{\infty } $$ and passive filtering for nonlinear singular systems under fading channels

Cai,

Chang

2024

Intl J Robust & Nonlinear

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“…[17] During the last few years, a number of attempts have been made on FTF for MJSs with logarithmic quantization. [18][19][20] However, to our knowledge, no research has been published on the FTF or FTHF for MJSs with uniform quantization effects.…”

Section: Introductionmentioning

confidence: 99%

Finite-time ℋ_∞ filtering for Markov jump systems with uniform quantization

Dong 董,

Ma 马,

Zhang 张

et al. 2023

Chinese Phys. B

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This paper is concerned with finite-time H ∞ filtering for Markov jump systems with uniform quantization. The objective is to design quantized mode-dependent filters to ensure that the filtering error system is not only mean-square finite-time bounded but also has a prescribed finite-time H ∞ performance. First, the case where the switching modes of the filter align with those of the MJS is considered. A numerically tractable filter design approach is proposed utilizing a mode-dependent Lyapunov function, Schur’s complement, and Dynkin’s formula. Then, the study is extended to a scenario where the switching modes of the filter can differ from those of the MJS. To address this situation, a mode-mismatched filter design approach is developed by leveraging a hidden Markov model to describe the asynchronous mode switching and the double expectation formula. Finally, a spring system model subject to a Markov chain is employed to validate the effectiveness of the quantized filter design approaches.

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Exponential Synchronization of Chaotic Systems with Stochastic Perturbations via Quantized Feedback control

Wang

Tong

Chen

et al. 2019

Circuits Syst Signal Process

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Quantized Finite-Time Non-fragile Filtering for Singular Markovian Jump Systems with Intermittent Measurements

Cited by 19 publications

References 37 publications

Finite‐time mixed ℋ∞$$ {\mathscr{H}}_{\infty } $$ and passive filtering for nonlinear singular systems under fading channels

Finite‐time mixed ℋ∞$$ {\mathscr{H}}_{\infty } $$ and passive filtering for nonlinear singular systems under fading channels

Finite-time ℋ_∞ filtering for Markov jump systems with uniform quantization

Exponential Synchronization of Chaotic Systems with Stochastic Perturbations via Quantized Feedback control

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Quantized Finite-Time Non-fragile Filtering for Singular Markovian Jump Systems with Intermittent Measurements

Cited by 19 publications

References 37 publications

Finite‐time mixed ℋ∞$$ {\mathscr{H}}_{\infty } $$ and passive filtering for nonlinear singular systems under fading channels

Finite‐time mixed ℋ∞$$ {\mathscr{H}}_{\infty } $$ and passive filtering for nonlinear singular systems under fading channels

Finite-time ℋ∞ filtering for Markov jump systems with uniform quantization

Exponential Synchronization of Chaotic Systems with Stochastic Perturbations via Quantized Feedback control

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Finite-time ℋ_∞ filtering for Markov jump systems with uniform quantization