# Longwall mining automation an application of minimum-variance smoothing [Applications of Control]

@article{Einicke2008LongwallMA, title={Longwall mining automation an application of minimum-variance smoothing [Applications of Control]}, author={Garry A. Einicke and Johnathon C. Ralston and Chad O. Hargrave and D. Reid and David W. Hainsworth}, journal={IEEE Control Systems}, year={2008}, volume={28} }

This article reviews the development of the minimum-variance smoother and describes its use in longwall automation. We describe both continuous- and discrete-time smoother solutions. It is shown, under suitable assumptions, that the two-norm of the smoother estimation error is less than that for the Kalman filter. A simulation study is presented to compare the performance of the minimum-variance smoother with the methods of H.E. Rauch et al. (1965), and D.C. Fraser and J.E. Potter (1969).

## 47 Citations

Iterative Smoother-Based Variance Estimation

- MathematicsIEEE Signal Processing Letters
- 2012

The minimum-variance smoother solution for input estimation is described and it is shown that the resulting estimates are unbiased. The smoothed input and state estimates are used to iteratively…

A Solution to the Continuous-Time H ∞ Fixed-Interval Smoother Problem

- Mathematics

—The minimum-variance fixed-interval smoother is a state-space realization of the Wiener solution generalized for time-varying problems. It involves forward and adjoint Wiener-Hopf factor inverses in…

A Solution to the Continuous-Time ${\rm H}_{\infty}$ Fixed-Interval Smoother Problem

- MathematicsIEEE Transactions on Automatic Control
- 2009

It is shown that the smoother exhibits an increase in mean-square-error, the error is bounded, and the upper error bound is greater than that for the H∞ filter.

The use of energy constraints within filtering and smoothing

- MathematicsIEEE Conference on Decision and Control and European Control Conference
- 2011

A low-cost filtering procedure is proposed in which the input measurements are constrained by nonlinear censuring functions and the resulting estimates are unbiased, and the estimation errors are bounded.

Dynamic Precise Positioning Method of Shearer Based on Closing Path Optimal Estimation Model

- Materials ScienceIEEE Transactions on Automation Science and Engineering
- 2019

A closing path optimal estimation model was proposed based on the motion characteristics of the shearer and a Kalman filter (KF) and it was verified that the model improved the positioning accuracy of theShearer by approximately an order of 1.

Bounded Constrained Filtering for GPS/INS Integration

- MathematicsIEEE Transactions on Automatic Control
- 2013

This paper considers estimation problems where inequality constraints are imposed on the outputs of linear systems and can be modeled by nonlinear functions, and establishes that the filter and smoother output estimates are unbiased, provided that the underlying probability density functions are even and the censoring functions are odd.

The application of frequency-weighting to improve filtering and smoothing performance

- Engineering2014 8th International Conference on Signal Processing and Communication Systems (ICSPCS)
- 2014

Pioneering research on the perception of sounds at different frequencies was conducted by Fletcher and Munson in the 1930s. Their work led to a standard way of weighting measured sound levels within…

Iterative filtering and smoothing of measurements possessing poisson noise

- MathematicsIEEE Transactions on Aerospace and Electronic Systems
- 2015

The minimum-variance filter and smoother are generalized to include Poisson-distributed measurement noise components. It is shown that the resulting filtered and smoothed estimates are unbiased. The…

A LiDAR-Aided Inertial Positioning Approach for a Longwall Shearer in Underground Coal Mining

- Environmental ScienceMathematical Problems in Engineering
- 2021

A Kalman filter (KF) model based on the observation provided by detecting hydraulic supports which are part of the longwall face, using the LiDAR, is established and the shearer positioning accuracy obtained using the proposed approach is higher.

An effective method for longwall automation in thin coal seam

- Computer ScienceIEEE 10th International Conference on Industrial Informatics
- 2012

Remote integration control of the shearer machine is introduced, and an easy and achievable method called replicated trajectory cutting (RTC) is put forward to realize the automation of the mining machine to improve communication stability in the thin coal seam.

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