A Variable Gain Sliding Mode Tracking Differentiator for Derivative Estimation of Noisy Signals

Yu, Jingdong; Jin, Shanhai; Wang, Xiaodan; Xiong, Xiaogang; Lv, Zhengxiang; Ye, Jin

doi:10.1109/access.2020.3016141

Cited by 7 publications

(5 citation statements)

References 20 publications

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“…In some literature, TD proposed by Han [22] is used to replace the low-pass flter, yet it may lead to a phase lag in the transient period. In this paper, x 3c is passed through an improved sliding mode TD [28], getting new x 3d and _ x 3d . Te improved TD has slighter overshoot and faster response speed, which can guarantee the accuracy of _ x 3c − _ x 3d .…”

Section: Design Of Autopilot Control Input Via New Trackingmentioning

confidence: 99%

“…Increase of κ can improve tracking speed and reduce overshoot, but it can also augment the efect of noise. Te stability proof and parameter selection rules of the variable gain sliding mode TD are presented in [28].…”

Section: Design Of Autopilot Control Input Via New Trackingmentioning

confidence: 99%

“…Nevertheless, these TDs, both the conventional version [25,26] and its improved version (TD-L) [27], all sufer from signifcant undesirable overshoot during the transient. Recently, a new high-order adaptive sliding mode TD was presented (TD-N) [28], which adaptively changes its gains for improved tracking performances and reduced overshoot.…”

Section: Introductionmentioning

confidence: 99%

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Composite Terminal Guidance Law for Supercavitating Torpedoes with Impact Angle Constraints

Zhāng

Wang

et al. 2022

Mathematical Problems in Engineering

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A novel composite terminal guidance law with impact angle constraints is proposed for supercavitating torpedoes to intercept maneuvering warships. Based on an adaptive super-twisting algorithm and nonsingular terminal sliding mode (NTSM), the proposed guidance law can guarantee the finite-time convergence of line-of-sight (LOS) angle error and the LOS angular rate error. The new guidance law is a combination of finite-time stability theory, sliding mode control (SMC), tracking differentiator (TD), disturbance observer (DO), and dynamic surface control. A high-order sliding mode TD is used for denoising, tracking, and differentiating the measured target heading angle. A novel DO, with its finite-time stability proved, is designed to estimate the target lateral acceleration for feedforward compensation to attenuate chattering in control input. In the case of a first-order-lag autopilot, a new kind of tracking differentiator is adopted to compute the first-order time derivative of the virtual control command, which can improve the accuracy of dynamic surface control and avoid the “explosion of items” problem encountered with the backstepping control. Finally, numerical simulation results are presented to validate the effectiveness and superiority of the proposed TD, DO, and the composite guidance law.

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Section: Design Of Autopilot Control Input Via New Trackingmentioning

confidence: 99%

Section: Design Of Autopilot Control Input Via New Trackingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Composite Terminal Guidance Law for Supercavitating Torpedoes with Impact Angle Constraints

Zhāng

Wang

et al. 2022

Mathematical Problems in Engineering

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“…Input signals and their derivative signals are often used in control systems, but due to external environmental factors, the input signals often contain noise, which can reduce system performance [1]. On the other hand, the numerical difference method is used by some researchers to calculate the differentiation of input signals due to its easy implementation.…”

Section: Introductionmentioning

confidence: 99%

A chattering-free discrete sliding mode filter

Zhao,

Deng

2023

Preprint

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This paper proposes a novel sliding mode filter, which improves Emaru et al.’s filter. Compared to previous filters, the proposed filter has a faster response speed without sacrificing filtering performance, and the output signals do not experience chattering. Specifically, the proposed filter introduces feedforward compensation as an acceleration factor, enabling the system state to accelerate convergence without affecting the noise attenuation ability. Secondly, the discrete-time algorithm of the proposed filter is achieved through the implicit Euler discretization method, and an equivalent substitution of a sign function and a saturation function, and its output signals do not generate system chattering, which is a challenge faced by sliding mode technology in discrete-time implementation. The effectiveness of the proposed filter was determined through numerical simulation.

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“…Model-free adaptive windowing based variable gain method is presented in Ref. [21] for reducing overshoot by balancing the tracking and filtering performances. However, the overshoot reduction rate is not sufficient enough, and considerable previous output values are required for windowing, which increases the computational load.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Tracking Differentiator With Adaptive Gains for Filtering and Derivative Estimation of Noisy Signals

Jin

2021

IEEE Access

Self Cite

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This paper proposes a new model-free sliding mode tracking differentiator with adaptive gains for reliable filtering and derivative estimations from noisy signals by improving a Levant and Yu's sliding mode tracking differentiator. Particularly, the proposed tracking differentiator employs a nested generalized signum function for reducing overshoot during convergence. Moreover, a model-free adaptive gain scheduling is adopted for balancing the tracking and filtering performances. The advantages of the proposed tracking differentiator is validated through numerical examples.INDEX TERMS Sliding mode tracking differentiator, adaptive gain, filtering, derivative estimation, overshoot reduction.

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A Variable Gain Sliding Mode Tracking Differentiator for Derivative Estimation of Noisy Signals

Cited by 7 publications

References 20 publications

Composite Terminal Guidance Law for Supercavitating Torpedoes with Impact Angle Constraints

Composite Terminal Guidance Law for Supercavitating Torpedoes with Impact Angle Constraints

A chattering-free discrete sliding mode filter

Sliding Mode Tracking Differentiator With Adaptive Gains for Filtering and Derivative Estimation of Noisy Signals

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