A bi-bandwidth extended state observer for a system with measurement noise and its application to aircraft with abrupt structural damage

Yang, Lingyu; Liu, Lilei; Zhang, Jing

doi:10.1016/j.ast.2021.106742

Cited by 9 publications

(3 citation statements)

References 42 publications

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“…Assumption 2 Assume that the measurement noise is bounded, i.e., Since the traditional LESO only takes the bandwidth as an adjustable parameter, it cannot take into account the measurement noise and estimation accuracy at the same time. Ahrens et al [12] proposed a "switching zone" to adjust the bandwidth, considering that transient and steady-state responses had different requirements for observer gain. But there is no good way to determine the switching threshold.…”

Section: Problem Statementmentioning

confidence: 99%

“…In [11], the gain adaptation was implemented as the output of a stable filter using the squared norm of the measured output estimation error and the mismatch between each estimate and its saturated value. Ahrens et al [12] proposed a technique by which the gain matrix of a high gain observer was switched between two values. Its purpose was to take advantage of higher gain during transients, providing better estimation and tracking.…”

Section: Introductionmentioning

confidence: 99%

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An Extended State Observer with Adjustable Bandwidth for Measurement Noise

Zhang,

Qi,

Yang

2024

J. of Syst. Eng. Electron.

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In this paper, a bandwidth-adjustable extended state observer (ABESO) is proposed for the systems with measurement noise. It is known that increasing the bandwidth of the observer improves the tracking speed but tolerates noise, which conflicts with observation accuracy. Therefore, we introduce a bandwidth scaling factor such that ABESO is formulated to a 2degree-of-freedom system. The observer gain is determined and the bandwidth scaling factor adjusts the bandwidth according to the tracking error. When the tracking error decreases, the bandwidth decreases to suppress the noise, otherwise the bandwidth does not change. It is proven that the error dynamics are bounded and converge in finite time. The relationship between the upper bound of the estimation error and the scaling factor is given. When the scaling factor is less than 1, the ABESO has higher estimation accuracy than the linear extended state observer (LESO). Simulations of an uncertain nonlinear system with compound disturbances show that the proposed ABESO can successfully estimate the total disturbance in noisy environments. The mean error of total disturbance of ABESO is 15.28% lower than that of LESO.

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Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Extended State Observer with Adjustable Bandwidth for Measurement Noise

Zhang,

Qi,

Yang

2024

J. of Syst. Eng. Electron.

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“…The convergence rate is an important index of an observer. Early works in this field focused on asymptotic ESOs [5][6][7][8] , where the upper bound of the convergence time (UBCT) (of the observation errors) is infinite. To break the bottleneck, finite-time ESOs [9][10][11][12] and fixed-time ESOs [13][14][15][16][17] have been developed, where finite-time (fixed-time) refers to a finite UBCT dependent (independent) of the initial conditions.…”

Section: Introductionmentioning

confidence: 99%

A class of adaptive predefined-time extended state observers for high-order strict-feedback systems

Ju,

Lv,

wang

et al. 2023

Preprint

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In this paper, we consider the predefined-time extended state observer (PTESO) design for a class of high-order strict-feedback systems subject to Hölder continuous nonlinearities and multiple disturbances. By developing an adaptive mechanism and using time-varying functions, a class of adaptive PTESOs is designed, in which the convergence time can be tightly and explicitly preset by only one parameter, irrelevant to the initial conditions. The adaptive mechanism is used to improve the transient performance under wide-range lumped disturbance. Moreover, thanks to the design of the time-varying gains, the PTESO could realize fast observation with trivial peaking observation errors. Finally, simulation results are provided to illustrate the effectiveness of the proposed observer.

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A class of adaptive predefined‐time extended state observers for high‐order strict‐feedback systems

Lv,

Ju,

Wang

et al. 2024

Intl J Robust & Nonlinear

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Fast state estimation for nonlinear systems has been a key issue in control theory and the recently developed predefined‐time stability acts as an effective tool for the problem. However, the studies of predefined‐time state observer for nonlinear systems are rare. In this article, we consider the predefined‐time extended state observer (PTESO) design for a class of high‐order strict‐feedback systems subject to Hölder continuous nonlinearities and lumped disturbance. By developing an adaptive mechanism and using time‐varying functions, a class of adaptive PTESOs is designed to estimate the unavailable states and the lumped disturbance, in which the convergence time can be tightly and explicitly preset by only one parameter, irrelevant to the initial conditions. The adaptive mechanism is used to improve the transient performance under wide‐range lumped disturbance. Moreover, thanks to the design of the time‐varying gains, the PTESO could realize fast observation with trivial peaking observation errors. Finally, simulation results are provided to illustrate the effectiveness of the proposed observer.

show abstract

A bi-bandwidth extended state observer for a system with measurement noise and its application to aircraft with abrupt structural damage

Cited by 9 publications

References 42 publications

An Extended State Observer with Adjustable Bandwidth for Measurement Noise

An Extended State Observer with Adjustable Bandwidth for Measurement Noise

A class of adaptive predefined-time extended state observers for high-order strict-feedback systems

A class of adaptive predefined‐time extended state observers for high‐order strict‐feedback systems

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