Pole Identification
Pole Identification - Related Videos
08:57
Introduction to the Power Pole Board
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2023
Source: Ali Bazzi, Department of Electrical Engineering, University of Connecticut, Storrs, CT. DC/DC converters are power electronic converters that convert DC voltages and currents from a certain level to another level. Typically, voltage conversion is the main purpose of DC/DC converters and three main types of conversion exist in a single converter: stepping up, stepping down, and stepping up or down. Among the most common step-up converters are boost converters (Refer to this collections...
01:24
Pole and System Stability
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2024
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability. Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's response.
14:21
Dissection of Organizer and Animal Pole Explants from Xenopus laevis Embryos and Assembly of a Cell Adhesion Assay
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Cited by 2 •
2007
This video demonstrates the technique used for preparation of organizer and animal pole explants from Xenopus laevis embryos, including the use of the eyebrow knife - a specialized dissection tool made of one's eyebrow. The protocol for assembling an adhesion assay is also given, which probes for the presence of key adhesion molecules present on the surface organizer or animal pole cells that are critical for proper development.
14:12
Rodent Identification II
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2015
Source: Kay Stewart, RVT, RLATG, CMAR; Valerie A. Schroeder, RVT, RLATG. University of Notre Dame, IN Animal records must be accurately maintained to ensure that data collection is correct. Records range from maintaining information on cage cards to having a detailed database with all of the relevant information on each animal. The primary component of recordkeeping is the individual identification of research animals. There are a variety of methods suitable for identifying mice and rats. This...
11:09
Rodent Identification I
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2015
Source: Kay Stewart, RVT, RLATG, CMAR; Valerie A. Schroeder, RVT, RLATG. University of Notre Dame, IN A fundamental requirement of biomedical research is the proper identification of research animals. It is essential that the right animal is utilized for procedures and data collection. Laboratory mice and rats can be identified with the following permanent methods: ear tags, ear punch codes, microchip implantation, tail tattoos for adult mice, and toe tattoos for neonates. Temporary methods of...
FAQs
Pole locations connect the fitted model to visible time or frequency behavior. A pole associated with a decaying response reflects a characteristic decay rate, while a pole associated with oscillatory behavior reflects an oscillation frequency as well as the decay of that mode. Examining these locations lets engineers interpret measured transients and judge whether the model captures the system’s dominant dynamic behavior.
Transfer-function and state-space models offer two representations for fitting the same input-output evidence. In a transfer-function model, the denominator roots provide the poles directly. A state-space model expresses the dynamics through its system representation, from which characteristic modes can be estimated. The choice therefore depends on how engineers want to represent and use identified dynamics, while pole estimates remain central to interpretation.
Useful data must connect a known input with the resulting output and expose the system’s characteristic response features. A step response can show how behavior evolves after an input change, while a frequency response describes behavior across excitation frequencies. The record becomes valuable for identification when these measurements reveal the decay rates and oscillation frequencies that the fitted model must reproduce.
An engineering workflow starts by measuring an input-output response, using either a step response or a frequency response. Engineers then fit a transfer-function or state-space model to those measurements and determine the model’s characteristic poles. Finally, they compare the estimated decay rates and oscillation frequencies with the observed response, using the agreement to assess whether the identified dynamics are credible.
Identified poles give controller tuning a model-based view of stability and transient behavior. Engineers can use the estimated modes to determine whether the fitted dynamics are consistent with the desired response and to adjust controller settings accordingly. This is especially useful when a complete first-principles model is unavailable, because measured behavior supplies direct evidence for the dynamics being controlled.
Pole identification is particularly useful when first-principles modeling is incomplete or difficult to obtain. Instead of depending entirely on a detailed physical derivation, engineers can estimate dynamics from measured input-output data and then use the result to validate a mathematical model. The approach connects experimental evidence with model-based engineering analysis without requiring every internal mechanism to be known in advance.
Across mechanical, electrical, and aerospace systems, pole estimates can serve as indicators of dynamic condition. Engineers may compare estimates over time or against an expected model to detect changes in characteristic modes, then use those changes for diagnosis or system monitoring. The same information supports stability assessment and helps determine whether the system continues to behave as represented.