An H∞ deconvolution filter and its application to ultrasonic nondestructive evaluation of materials

Hanshaw, Timothy C.; Anderson, Michael J.; Hsu, C.S.

doi:10.1016/s0019-0578(99)00034-8

Cited by 19 publications

(15 citation statements)

References 11 publications

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“…Now it is clear that an H ∞ deconvolution filters(k k) that achieves (4) can be obtained from (12) such that J m N (·) > 0. To this end, we need to calculate the covariance R w (k) and the projectionsû(k k − 1) andx(k) associated with the Krein-space state space model (7) and (8).…”

Section: Resultsmentioning

confidence: 99%

“…In this case the minimum value of J N (·) is as in (12). Proof Noting (10), by applying a similar line of discussions as in [16,18], it is easy to see that J N (·) in (5) has a positive stationary point if and only if Q vz (k) and R w (k) have the same inertia, that is Q vz (k) = I p 0 0 −γ 2 I r and…”

Section: Kalman Filterx(k) In Krein Spacementioning

confidence: 99%

“…However, in [11], the transmission channel was modelled as an LTI dynamical system; consequently, the obtained deconvolution filter is also LTI. In the context of time-varying systems, the H ∞ deconvolution filter was given by bounded real lemma in [12] and was applied to ultrasonic nondestructive evaluation of materials. An H ∞ deconvolution filter for linear time-varying discrete-time uncertain systems was designed by game theory approach in [13].…”

Section: Introductionmentioning

confidence: 99%

“…In Section 3, main results will be given. In Section 4, comparison will be given between the proposed approach and that in [12]. A numerical example will be presented in Section 5 to verify the validation of the proposed approach.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

H-infinity deconvolution filtering: a Krein space approach in state-space setting

Zhang

Wang

et al. 2009

J. Control Theory Appl.

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This note is concerned with the H-infinity deconvolution filtering problem for linear time-varying discretetime systems described by state space models. The H-infinity deconvolution filter is derived by proposing a new approach in Krein space. With the new approach, it is clearly shown that the central deconvolution filter in an H-infinity setting is the same as the one in an H 2 setting associated with one constructed stochastic state-space model. This insight allows us to calculate the complicated H-infinity deconvolution filter in an intuitive and simple way. The deconvolution filter is calculated by performing Riccati equation with the same order as that of the original system.

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Section: Resultsmentioning

confidence: 99%

Section: Kalman Filterx(k) In Krein Spacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

H-infinity deconvolution filtering: a Krein space approach in state-space setting

Zhang

Wang

et al. 2009

J. Control Theory Appl.

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“…In recent years, H 1 filtering for SMJSs has been extensively studied, for example, [38,40], and the references therein. Conversely, H 1 deconvolution filtering is to design a filter to estimate the unknown input signal of a given systems utilizing available measurement [41][42][43][44]. Over the past decades, as the extension of H 1 filtering, H 1 deconvolution filtering has been an important issue and widely used in many fields such as signal processing, image restoration, data transmission, nondestructive evaluation, reverberation cancellation, and so on [45][46][47][48].…”

Section: Introductionmentioning

confidence: 99%

H_∞ deconvolution filter design for uncertain descriptor hybrid delay systems with limited communication capacity and unknown transition rates

et al. 2016

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This article investigates the problem of H 1 deconvolution filtering for a kind of uncertain descriptor hybrid system with state time-varying delays, limited communication capacity, and partially unknown transition rates. The limited communication capacity including signal transmission delays and data packet dropout. Mode-dependent and delay-dependent conditions are obtained by constructing a comprehensive stochastic Lyapunov-Krasovskii functional, which ensure the filtering error system is not only stochastically admissible but also satisfies a prescribed H 1 -norm level for all admissible uncertainties, signal transmission delays, and data packet dropout. The linear matrix inequalities technique is utilized to acquire the desired deconvolution filter parameters. An electrical RLC circuit example and two numerical examples are provided to demonstrate the usefulness and effectiveness of our methods.

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Robust H_∞ Filtering and Deconvolution for Continuous Time Delay Systems Based on Game‐Theoretic Approach

You

Wang

et al. 2016

Asian Journal of Control

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Many dynamical systems involve not only process and measurement noise signals but also parameter uncertainty and unknown input signals. This paper aims to estimate the state and unknown input for linear continuous time-varying systems subject to time delay in state, norm-bounded parameter uncertainty, and a known input. Such a problem is reformulated into a two-player differential game whose saddle point solution gives rise to one sufficient solvable condition for the estimation problem. The possible optimal estimators are obtained by solving the two coupled Riccati differential equations. We demonstrate, through two examples, how the proposed estimator is valid for estimating state and unknown input.

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An H∞ deconvolution filter and its application to ultrasonic nondestructive evaluation of materials

Cited by 19 publications

References 11 publications

H-infinity deconvolution filtering: a Krein space approach in state-space setting

H-infinity deconvolution filtering: a Krein space approach in state-space setting

H_∞ deconvolution filter design for uncertain descriptor hybrid delay systems with limited communication capacity and unknown transition rates

Robust H_∞ Filtering and Deconvolution for Continuous Time Delay Systems Based on Game‐Theoretic Approach

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An H∞ deconvolution filter and its application to ultrasonic nondestructive evaluation of materials

Cited by 19 publications

References 11 publications

H-infinity deconvolution filtering: a Krein space approach in state-space setting

H-infinity deconvolution filtering: a Krein space approach in state-space setting

H∞ deconvolution filter design for uncertain descriptor hybrid delay systems with limited communication capacity and unknown transition rates

Robust H∞ Filtering and Deconvolution for Continuous Time Delay Systems Based on Game‐Theoretic Approach

Contact Info

Product

Resources

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H_∞ deconvolution filter design for uncertain descriptor hybrid delay systems with limited communication capacity and unknown transition rates

Robust H_∞ Filtering and Deconvolution for Continuous Time Delay Systems Based on Game‐Theoretic Approach