Minimization of 2 norm of the error signal in posicast input command shaping: a polynomial approach

Abstract The residuals of liquid free-surface wave oscillations induced by a rest-to-rest crane maneuver of a suspended liquid container are eliminated using a command-shaped profile. The dynamics of liquid sloshing are modeled using an equivalent mechanical model based on a series of mass-spring-damper systems. The proposed model considers the excited frequencies of the container swing motion and liquid sloshing modes. The objective is to design a discrete-time shaped acceleration profile with a variable command length that controls the moving crane-jib, while suppressing the sloshing modes. Simulations are conducted to illustrate the command effectiveness in eliminating liquid sloshing with a wide variation range of system and command-designing parameters; liquid depth, cable length, command duration, and the employing of higher sloshing modes in representing the sloshing dynamics. The command sensitivity of the input command to changes of the system parameters are treated as well. A refined and smooth input command based on suppressing the residuals of multimodes is also introduced. Furthermore, the command effectiveness was supported by a comparison with the time-optimal flexible-body control and multimode zero vibration input shaper.

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Analysis and Simulation of Altimeter Performance for the Production of Ice Sheet Topographic Maps

Annals of Glaciology ◽

10.3189/s0260305500001324 ◽

1986 ◽

Vol 8 ◽

pp. 141-145 ◽

Cited By ~ 1

Author(s):

K.C. Partington ◽

C.G. Rapley

Keyword(s):

High Precision ◽

Systems Analysis ◽

Ice Sheets ◽

Ice Sheet ◽

Data Interpretation ◽

Topographic Maps ◽

Error Signal ◽

Tracking Systems ◽

Tracking Mode ◽

Non Linear

Satellite-borne, radar altimeters have already demonstrated an ability to produce high-precision, topographic maps of the ice sheets. Seasat operated in a tracking mode, designed for use over oceans, but successfully tracked much of the flatter regions of the ice sheet to ± 72° latitude. ERS-1 will extend coverage to ± 82° latitude and will be equipped with an ocean mode similar to that of Seasat and an ice mode designed to permit tracking of the steeper, peripheral regions. The ocean mode will be used over the flatter regions, because of its greater precision.Altimeter performance over the ice sheets has been investigated through a study of Seasat tracking behaviour and the use of an altimeter performance simulator, with a view to assessing the likely performance of ERS-1 and the design of improved tracking systems. Analysis of Seasat data shows that lock was frequently lost, as a result of possessing a non-linear height error signal over the width of the range window. Having lost lock, the tracker frequently failed to transfer rapidly and effectively to track mode. Use of the altimeter performance simulator confirms many of the findings from Seasat data and it is being used to facilitate data interpretation and mapping, through the modelling of waveform sequence.

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Song Development: In Search of the Error-Signal

Annals of the New York Academy of Sciences ◽

10.1196/annals.1298.036 ◽

2004 ◽

Vol 1016 (1) ◽

pp. 364-376 ◽

Cited By ~ 20

Author(s):

S DERÉGNAUCOURT ◽

P P MITRA ◽

O FEHÉR ◽

K K MAUL ◽

T J LINTS ◽

...

Keyword(s):

Error Signal ◽

Song Development

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Tracking error signal generation for a raster scanned optical disc system

Proceedings of the 2004 IEEE International Conference on Control Applications, 2004. ◽

10.1109/cca.2004.1387267 ◽

2005 ◽

Author(s):

C. Drechsler ◽

W. Messner

Keyword(s):

Tracking Error ◽

Signal Generation ◽

Error Signal ◽

Optical Disc

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Adaptive output-based command shaping for sway control of a 3D overhead crane with payload hoisting and wind disturbance

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2017.04.034 ◽

2018 ◽

Vol 98 ◽

pp. 157-172 ◽

Cited By ~ 29

Author(s):

Auwalu M. Abdullahi ◽

Z. Mohamed ◽

H. Selamat ◽

Hemanshu R. Pota ◽

M.S. Zainal Abidin ◽

...

Keyword(s):

Wind Disturbance ◽

Overhead Crane ◽

Command Shaping

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Nonlinear error signal extraction technique for real-time digital automatic control of optical interferometers

10.1117/12.207691 ◽

1995 ◽

Author(s):

Fabrizio Barone ◽

Enrico Calloni ◽

Luciano DiFiore ◽

Aniello Grado ◽

Leopoldo Milano ◽

...

Keyword(s):

Automatic Control ◽

Real Time ◽

Signal Extraction ◽

Extraction Technique ◽

Error Signal ◽

Nonlinear Error ◽

Optical Interferometers

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Performance limitation of networked systems with controller and communication filter co-design

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331216678314 ◽

2016 ◽

Vol 40 (4) ◽

pp. 1167-1176 ◽

Cited By ~ 1

Author(s):

Jie Wu ◽

Xi-Sheng Zhan ◽

Xian-He Zhang ◽

Tao Han ◽

Hong-Liang Gao

Keyword(s):

Networked Systems ◽

Channel Noise ◽

Frequency Domain Method ◽

Minimum Phase ◽

Error Signal ◽

Optimal Network ◽

Performance Limitation ◽

The One ◽

Theoretical Results ◽

Two Parameter

This paper addresses the performance limitation problem of networked systems by co-designing the controller and communication filter. The tracking performance index is measured by the energy of the error signal. Explicit expressions of the performance limitation are obtained by applying the controller and communication filter co-design, and the optimal network filter is obtained by applying the frequency domain method. It is shown that the performance limitation is closely related to the unstable poles and the non-minimum phase zeros of a given plant under the one-parameter compensator structure, whereas, under the two-parameter compensator structure, the performance limitation is unrelated to the unstable poles of a given plant. It is also demonstrated that the performance limitation can be improved and the effect of the channel noise can be eliminated by using the controller and communication filter co-design. Finally, some typical examples are presented to illustrate the theoretical results.

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