2018
Stability
Gebruiker
[Geef de naam van het bedrijf op]
1-3-2018
, A system(or object) is called stable when a small perturbation is given and if the system’s behaves approximately the same
as the old situation , the system is stable. If you can limit the region in which the system lies by limiting the size of the
perturbation, then the system is stable . If the changed behavior becomes (1) indistinguishable from the old behavior (2)
returning to its original position or trajectory after a sufficiently long time, the system is asymptotically stable. If the
disturbed behavior differs significantly from the old behavior, the system is unstable. . If the region is the same size no
matter what size of perturbation, then the system is unstable. Stability depends on the system and the task being
performed.
Athletes can be tested for their ability to deal with external, mechanical perturbations of their trunk. You can use the
application of short force impulses applied at the shoulder in the left-right direction, while the subject is initially standing
upright. Then the orientation of the trunk in the frontal plane is measured after the given perturbation.
The ability of a system of how well it can cope with uncertainties and disturbances is called robustness. Systems that can
significantly change their parameters without loss of stability are robust. It is more appropriate to say the system is more
robust than more stable. Core stabilizing exercises do not make the spine more stable, they make it more robust. The shape
of the surface also determines how robust the system is to perturbations
The performance of a system reflects how closely and rapidly the disturbed position of the system tends to the undisturbed
position. For asymptotically stable systems, a system performing well will also converge to the undisturbed position in a
short time interval. Unless the system is stable , there is no reason to discuss its performance. Performance can be
measured by perturbation / error (perturbation should be constant and preferably known).
Below are images of systems where stability, robustness and performance are visualized.
Stiffness(K) reflects the steepness of the walls in the images above. The steepness of the walls will determine how well the
system performs. Steeper walls, will keep the ball closer to the original undisturbed position and produce a faster response.
An increased stiffness represents steeper sides, indicating that the system is more robust than at lower stiffness levels. In a
Stability
Gebruiker
[Geef de naam van het bedrijf op]
1-3-2018
, A system(or object) is called stable when a small perturbation is given and if the system’s behaves approximately the same
as the old situation , the system is stable. If you can limit the region in which the system lies by limiting the size of the
perturbation, then the system is stable . If the changed behavior becomes (1) indistinguishable from the old behavior (2)
returning to its original position or trajectory after a sufficiently long time, the system is asymptotically stable. If the
disturbed behavior differs significantly from the old behavior, the system is unstable. . If the region is the same size no
matter what size of perturbation, then the system is unstable. Stability depends on the system and the task being
performed.
Athletes can be tested for their ability to deal with external, mechanical perturbations of their trunk. You can use the
application of short force impulses applied at the shoulder in the left-right direction, while the subject is initially standing
upright. Then the orientation of the trunk in the frontal plane is measured after the given perturbation.
The ability of a system of how well it can cope with uncertainties and disturbances is called robustness. Systems that can
significantly change their parameters without loss of stability are robust. It is more appropriate to say the system is more
robust than more stable. Core stabilizing exercises do not make the spine more stable, they make it more robust. The shape
of the surface also determines how robust the system is to perturbations
The performance of a system reflects how closely and rapidly the disturbed position of the system tends to the undisturbed
position. For asymptotically stable systems, a system performing well will also converge to the undisturbed position in a
short time interval. Unless the system is stable , there is no reason to discuss its performance. Performance can be
measured by perturbation / error (perturbation should be constant and preferably known).
Below are images of systems where stability, robustness and performance are visualized.
Stiffness(K) reflects the steepness of the walls in the images above. The steepness of the walls will determine how well the
system performs. Steeper walls, will keep the ball closer to the original undisturbed position and produce a faster response.
An increased stiffness represents steeper sides, indicating that the system is more robust than at lower stiffness levels. In a
