An Improved Second-Order Sliding Mode Control for an Interception Guidance System without Angular Velocity Measurement

It is well-known that the successful implementation of current sliding-mode guidance laws relies on two key points: one is the prior knowledge of the upper bound of the target’s maneuver, and the other is the accurate measurement of motion information. The truth maneuver is usually difficult to acqu...

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Main Authors: Yue Qu, Wenjun Yi
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/11/2510
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author Yue Qu
Wenjun Yi
author_facet Yue Qu
Wenjun Yi
author_sort Yue Qu
collection DOAJ
description It is well-known that the successful implementation of current sliding-mode guidance laws relies on two key points: one is the prior knowledge of the upper bound of the target’s maneuver, and the other is the accurate measurement of motion information. The truth maneuver is usually difficult to acquire and can only be roughly estimated. Measurements are often affected by noise and physical limitations of the onboard sensor. This paper presents an improved second-order sliding-mode guidance law that can handle these two problems simultaneously while addressing the chattering phenomenon, which inherently exists in the sliding mode-based controller. We achieve this by using the estimation from an extended state observer (ESO) and tracking differentiator (TD). In light of the employed ESO, which is utilized to give an estimation of the external disturbance, prior knowledge of the target’s maneuver is not required. Most interestingly, we show that the motion information can be estimated efficiently from the ESO in real time. A TD filter can be further embedded to remove unwanted noise from the detected signal. A series of simulations has been conducted, clearly demonstrating that the estimation accuracy of the ESO is sufficient for the guidance law to implement accurate interception. The TD filter not only removes noise but also avoids the phase-loss problems associated with conventional filters. Moreover, the chattering phenomenon is completely eliminated in the control channel.
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spelling doaj.art-fccd1b7a07034688a6545f3de65f905b2023-11-18T08:13:00ZengMDPI AGMathematics2227-73902023-05-011111251010.3390/math11112510An Improved Second-Order Sliding Mode Control for an Interception Guidance System without Angular Velocity MeasurementYue Qu0Wenjun Yi1National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, ChinaNational Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, ChinaIt is well-known that the successful implementation of current sliding-mode guidance laws relies on two key points: one is the prior knowledge of the upper bound of the target’s maneuver, and the other is the accurate measurement of motion information. The truth maneuver is usually difficult to acquire and can only be roughly estimated. Measurements are often affected by noise and physical limitations of the onboard sensor. This paper presents an improved second-order sliding-mode guidance law that can handle these two problems simultaneously while addressing the chattering phenomenon, which inherently exists in the sliding mode-based controller. We achieve this by using the estimation from an extended state observer (ESO) and tracking differentiator (TD). In light of the employed ESO, which is utilized to give an estimation of the external disturbance, prior knowledge of the target’s maneuver is not required. Most interestingly, we show that the motion information can be estimated efficiently from the ESO in real time. A TD filter can be further embedded to remove unwanted noise from the detected signal. A series of simulations has been conducted, clearly demonstrating that the estimation accuracy of the ESO is sufficient for the guidance law to implement accurate interception. The TD filter not only removes noise but also avoids the phase-loss problems associated with conventional filters. Moreover, the chattering phenomenon is completely eliminated in the control channel.https://www.mdpi.com/2227-7390/11/11/2510measurementonboard sensorsliding modetracking differentiatorextended state observerchattering phenomenon
spellingShingle Yue Qu
Wenjun Yi
An Improved Second-Order Sliding Mode Control for an Interception Guidance System without Angular Velocity Measurement
Mathematics
measurement
onboard sensor
sliding mode
tracking differentiator
extended state observer
chattering phenomenon
title An Improved Second-Order Sliding Mode Control for an Interception Guidance System without Angular Velocity Measurement
title_full An Improved Second-Order Sliding Mode Control for an Interception Guidance System without Angular Velocity Measurement
title_fullStr An Improved Second-Order Sliding Mode Control for an Interception Guidance System without Angular Velocity Measurement
title_full_unstemmed An Improved Second-Order Sliding Mode Control for an Interception Guidance System without Angular Velocity Measurement
title_short An Improved Second-Order Sliding Mode Control for an Interception Guidance System without Angular Velocity Measurement
title_sort improved second order sliding mode control for an interception guidance system without angular velocity measurement
topic measurement
onboard sensor
sliding mode
tracking differentiator
extended state observer
chattering phenomenon
url https://www.mdpi.com/2227-7390/11/11/2510
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