A derivation of an analytic expression for the tracking index for the alpha-beta-gamma filter

Gray, John Edward; Murray, William J.

doi:10.1109/7.220956

Cited by 33 publications

(16 citation statements)

References 2 publications

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“…In order to avoid the above mentioned problem, the conventional gain-scheduled steady-state Kalman filter has been commonly used in practice [10][11][12][13][14][15]. This approach requires a standing assumption that the given system model is slowly varying with range.…”

Section: Introductionmentioning

confidence: 99%

Time-varying line-of-sight rate estimator with a single modified tracking index for RF homing guidance

Whang

2011

Int. J. Control Autom. Syst.

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A practical time-varying line-of-sight (LOS) rate estimator is proposed for surface-to-air missile (SAM) guidance using an RF seeker. The range-dependant LOS rate dynamics and variances of boresight error (BSE) measurements constitute the Kalman filtering problem associated with the timevarying matrix differential Riccati equation (DRE). Since the conventional gain-scheduled steady-state Kalman filter derived by solving an algebraic Riccati equation (ARE) cannot fully consider the timevarying nature of LOS rate dynamics, it might not be appropriate for volatile missile-target engagement scenarios. This motivates us to investigate a pseudo-analytic solution to the time-varying Kalman filtering problem based on the algebraic transform of the given DRE. Apart from the previous works, the explicit form of time-varying Kalman gain is expressed in terms of a single filter design parameter, called modified tracking index. The proposed time-varying filter is not only able to effectively handle the time-varying LOS rate dynamics but is also affordable for real-time implementation. Adjoint analysis results for a homing guidance loop show that the proposed LOS rate estimator could improve guidance performance and be an excellent choice for SAM applications.

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Section: Introductionmentioning

confidence: 99%

Time-varying line-of-sight rate estimator with a single modified tracking index for RF homing guidance

Whang

2011

Int. J. Control Autom. Syst.

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“…To improve the availability of the system when a telemetry data loss occurs on the WBDL channel, the real-time software module is provided with an algorithm (based on an alpha-beta filter [5]) able to predict the aircraft position by basing on the last aircraft positions received by telemetry in the ground station.…”

Section: Ground Architecturementioning

confidence: 99%

Design and Flight Validation of a Communication System for an Optionally Piloted Aircraft

Castrillo¹,

Fusco²,

Inverno³

2017

IJFGCN

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“…One of the earliest studies includes α-β filter (Rogers, 1987), α-β-γ filter (Gray and Murray, 1993) derived from the steady-state Kalman filter (Kalman, 1960). A stability analysis of α-β-γ filter is shown in Tenne and Singh (2002).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear projection filter for target tracking using range sensor & optical tracker**This research is supported by EPSRC Research Grant, EP/N010523/1, Balancing the impact of city infrastructure engineering on natural systems using robots.

Kim

2016

IFAC-PapersOnLine

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Target tracking filters have a variety of applications in various areas. Typically, a radar provides the range measurement and an optical sensor measures the orientation of a target. The measurements provided by the sensors have very strong nonlinearities with the states of the target given in the Cartesian coordinates while its dynamics is linear parameter time-varying. The time-varying component exists because of the unknown acceleration input in the target. Nonlinear projection filter provides a solution to the nonlinear estimation problem by approximating the solution as a linear combination of orthogonal basis functions. The analytic expression for propagating the joint probability density function is derived for the target tacking problem and this reduces large amount of computation times, where the filter equations are normally obtained numerically. The effectiveness of the filter is demonstrated by a numerical simulation.

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A derivation of an analytic expression for the tracking index for the alpha-beta-gamma filter

Cited by 33 publications

References 2 publications

Time-varying line-of-sight rate estimator with a single modified tracking index for RF homing guidance

Time-varying line-of-sight rate estimator with a single modified tracking index for RF homing guidance

Design and Flight Validation of a Communication System for an Optionally Piloted Aircraft

Nonlinear projection filter for target tracking using range sensor & optical tracker**This research is supported by EPSRC Research Grant, EP/N010523/1, Balancing the impact of city infrastructure engineering on natural systems using robots.

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