Optimal state and fault estimation for two-dimensional discrete systems

Zhao, Dong; Li, Yueyang; Ahn, Choon Ki; Ding, Steven X.

doi:10.1016/j.automatica.2020.108856

Cited by 30 publications

(18 citation statements)

References 38 publications

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“…Subsequently, based on (15) and the conventional linear system theory, we can conclude that, for (18), an invertible operator  exists and implies that…”

Section: Krein-space Model Interpretationmentioning

confidence: 99%

“…Comparing to robust FE in H 2 sense, H ∞ based approaches do not acquire prior information on the exogenous disturbances or observation noises and provides more flexibility when confronts complex but unknown environments. [11][12][13][14][15][16][17][18] Recalling the fact that almost all the plants are inherently nonlinear, it is necessary to shift the research focus from linear systems to nonlinear cases. The so-called sector-bounded nonlinear system, which is often represented by a linear dynamics with a sector-bounded perturbation, acts as a typical one and can cover plenty of nonlinearities in real-world, such as Lipschitz nonlinearity, logarithmic quantization effect, and saturation phenomenon.…”

Section: Introductionmentioning

confidence: 99%

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Event‐triggered fault estimation for discrete time‐varying systems subject to sector‐bounded nonlinearity: A Krein space based approach

Liu

Zhao

et al. 2021

Intl J Robust & Nonlinear

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In this study, event‐triggered fault estimation (FE) problem for a class of discrete‐time dynamic systems subject to sector‐bounded nonlinearity and time‐varying coefficients is investigated. For a given event‐triggered measurement transmission scheme, the event‐induced output non‐persistence for the fault estimator is modeled by norm‐bounded observation uncertainty. After giving a suitable H∞ performance index and formulating the estimation problem for the concerned nonlinear system with event‐triggered measurements, an auxiliary model in a quasi‐linear form and an associated H∞ performance function are established. With the aid of this auxiliary model and performance function, the sector‐bounded nonlinearity condition and the induced observation uncertainty are packaged simultaneously, and the considered H∞ FE problem in Hilbert space is recast as an H2 deconvolution filtering issue in Krein space. Through designing Krein space based model with appropriate inner products, and using the orthogonally projection technique, fault estimator is derived in an analytical and recursive manner. The condition that ensures the existence of the estimator is also obtained. Two examples are adopted to demonstrate the applicability of the proposed method.

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“…Subsequently, based on (15) and the conventional linear system theory, we can conclude that, for (18), an invertible operator  exists and implies that…”

Section: Krein-space Model Interpretationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Event‐triggered fault estimation for discrete time‐varying systems subject to sector‐bounded nonlinearity: A Krein space based approach

Liu

Zhao

et al. 2021

Intl J Robust & Nonlinear

Self Cite

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“…e frequency of the equipment was tested under this condition and then under 0.3 g seismic test condition and 0.5 g shock absorption test conditions. At the end of the test, the relevant data and signal processing methods in mathematics are used to analyze the test data [26][27][28].…”

Section: Experimental Verification Of the Eoretical Modelmentioning

confidence: 99%

On the Nonlinear Seismic Responses of Shock Absorber-Equipped Porcelain Electrical Components

Zhu

Zhang

Cheng

et al. 2020

Mathematical Problems in Engineering

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Porcelain electrical equipment is prone to brittle failure due to resonance under seismic effects. To improve its seismic resistance, some researchers have conducted research on shock absorption technology for porcelain electrical equipment. However, extant research fails to provide a detailed and systematic study of the effect of the nonlinear characteristics of these shock absorbers on the performance of equipment under seismic effects. This paper provides a theoretical analysis, verified by shaking table testing, of the performance of a 1000 kV pillar-type porcelain lightning arrester. The Bouc–Wen model is fitted to the force-displacement curve of hysteretic nonlinear metal shock absorbers, and a dynamic model of, and equations for, pillar-type porcelain electrical components are derived, taking into account their nonlinear characteristics. This reveals the influence of the nonlinear characteristics of shock absorbers on the nonlinear seismic response characteristics of these components. Our results indicate that the seismic responses of pillar-type porcelain components can be effectively suppressed by hysteretic nonlinear shock absorbers and that the greater the intensity of the seismic waves, the more obvious the efficiency of shock absorption. However, as the installation radius and yield force of the installed shock absorbers increase, their shock absorption efficiency gradually decreases.

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“…Many different observers have also been explored such as fuzzy observers [3], Luenberger-like interval observers [4], and sliding mode observers [5,6]. Recently, an optimal state and fault estimation scheme was proposed by [7] for two-dimensional discrete systems.…”

Section: Introductionmentioning

confidence: 99%

“…In [24], a sensor fault estimation filter design for discrete-time linear time-varying systems was investigated, while in [25], a unified filter for simultaneous input and state estimation of linear discrete time systems was designed. Recently, an optimal state and fault estimation scheme was proposed by [7] for two-dimensional discrete systems. None of the above studies [7,24,25] on fault/input/state estimation considered the stochastic system with state, control input, and fault-dependent noise together.…”

Section: Introductionmentioning

confidence: 99%

Fault estimation and fault-tolerant control for linear discrete time-varying stochastic systems

Zhang

Deng

Sun

et al. 2021

Sci. China Inf. Sci.

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This paper presents a scheme for simultaneous fault estimation and fault-tolerant control of linear discrete time-varying stochastic systems. An observer is proposed to estimate the system state and the fault simultaneously. The estimation errors of both the system state and fault can achieve exponential stability in mean square sense even if the fault arbitrarily changes or is unbounded. The controllers of the drift term and diffusion term are designed separately, and then based on the estimated fault, the fault compensation is performed to realize fault tolerance. For the parameter design in the estimator and controllers, we provide two different algorithms via the cone complementarity linearization and the state transition matrix methods, respectively. As an extension, a class of quasi-linear systems is also discussed. A simulation example with two different fault types and an application in electromechanical servo systems are provided to illustrate the usefulness of the proposed scheme.

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Optimal state and fault estimation for two-dimensional discrete systems

Cited by 30 publications

References 38 publications

Event‐triggered fault estimation for discrete time‐varying systems subject to sector‐bounded nonlinearity: A Krein space based approach

Event‐triggered fault estimation for discrete time‐varying systems subject to sector‐bounded nonlinearity: A Krein space based approach

On the Nonlinear Seismic Responses of Shock Absorber-Equipped Porcelain Electrical Components

Fault estimation and fault-tolerant control for linear discrete time-varying stochastic systems

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