Time‐dependent Luenberger‐type interval observer design for uncertain time‐varying systems

Liu, Long-Wen; Xie, Wei; Zhang, Lang-wen; D, Gu

doi:10.1002/rnc.6014

Cited by 5 publications

(3 citation statements)

References 36 publications

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“…Remark 1. From the transformation (19), the full state of the original system can be obtained from the m output together with the n À m ð Þstate variables of the observer. When K 2 = 0, the function Kx(t) = K x(t) = K 1 y(t).…”

Section: Resultsmentioning

confidence: 99%

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Parametric design of reduced-order functional observers for linear time-varying delay systems

Wang

Liu

et al. 2022

Measurement and Control

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This paper investigates the design of reduced-order functional observer for linear time-invariant systems (LTI) with time-varying delay. Firstly, the sufficient condition for the existence of reduced-order delay-free functional observers is obtained. Secondly, by solving generalized Sylvester matrix equations (GSEs), completely parameterized formulas of the coefficient matrices of reduced-order function observer are established. The free parameter matrices in the formulas provide the design degrees of the freedom and improve the convergence rate of the error system. Finally, two numerical and a practical examples are provided to illustrate the effectiveness of the proposed approach.

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Section: Resultsmentioning

confidence: 99%

“…More related research can be found in the literature. [13][14][15][16][17][18][19] Time-delay phenomena are frequently encountered in many practical systems. It has a significant effect on system performance and may cause instability, oscillation, and so on.…”

Section: Introductionmentioning

confidence: 99%

Parametric design of reduced-order functional observers for linear time-varying delay systems

Wang

Liu

et al. 2022

Measurement and Control

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“…Inspired by the above two references, this study presents a solution to the FIO design problem of the LTV system using the parametric design technique. Different from traditional methods, parametric design directly provides all control laws within the system framework, including the freedom parameters, and modifying the free parameters can correspond to changes in the design requirements (Gu et al, 2022c(Gu et al, , 2021bGu and Wang, 2022;Liu et al, 2020Liu et al, , 2022.…”

Section: Introductionmentioning

confidence: 99%

Functional interval observer design for linear time-varying systems with additive disturbances

Sun

Liu

2022

Transactions of the Institute of Measurement and Control

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This paper investigates the problem of the functional interval observer design for linear time-varying (LTV) systems with additive disturbances in both input and output channels. First, sufficient conditions for the existence of a functional interval observer for LTV systems are proposed. Based on the solution of a type of Sylvester matrix equations (generalized Sylvester equations, GSEs), completely parameterized expressions of functional interval observer coefficient matrices are established, yielding a simple and effective design approach for solving the interval estimation issue of the LTV system, while the free parameters in the expressions provide the design degrees of freedom that can be utilized to achieve additional system specifications. Furthermore, the developed observer may execute state estimation at the desired convergence rate, considerably improving estimate performance. Finally, a numerical example and a back-to-turn (BTT) aircraft control example are presented, with the results showing that the upper and lower bounds provided by the designed observer provide a better performance of interval estimation of the functional state variables, demonstrating the effectiveness of the proposed method.

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Zonotopic state estimation and sensor fault detection for a wastewater treatment bioprocess

Zhou,

Wu,

Wang

et al. 2024

Intl J Robust & Nonlinear

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In this paper, a fault diagnosis method for the basic process of microbial growth in wastewater treatment based on interval estimation technology is proposed. First, a nonlinear microbial growth model is converted into a linear time‐varying system. A time‐varying observer is then designed for the generated system, which takes into account an performance. Furthermore, a zonotope‐based set‐membership estimation algorithm is analyzed to synchronize interval estimation operations. In addition, interval residuals are computed from the generated interval state estimation and fault diagnosis is performed for a wastewater treatment bioprocess with sensor fault signals. Finally, the feasibility of the proposed fault diagnosis strategy for the wastewater treatment bioprocess is illustrated through numerical simulations.

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Time‐dependent Luenberger‐type interval observer design for uncertain time‐varying systems

Cited by 5 publications

References 36 publications

Parametric design of reduced-order functional observers for linear time-varying delay systems

Parametric design of reduced-order functional observers for linear time-varying delay systems

Functional interval observer design for linear time-varying systems with additive disturbances

Zonotopic state estimation and sensor fault detection for a wastewater treatment bioprocess

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