Uniformn-analytic polynomial approximations of functions on rectifiable contours in ℂ

1996 ◽  
Vol 59 (4) ◽  
pp. 435-439 ◽  
Author(s):  
K. Yu. Fedorovskii
Keyword(s):  
Polynomial Approximations ◽  
Analytic Polynomial

A Generic Method to Generate AS-Curve Profile in Commercial Motion Controller

2017 ◽  
Author(s):  
Youdun Bai ◽  
Xin Chen ◽  
Zhijun Yang
Keyword(s):  
Motion Controller ◽  
Residual Vibration ◽  
Practical Applications ◽  
Analytic Polynomial ◽  
Acceleration And Deceleration ◽  
Special Knowledge ◽  
Curve Profile ◽  
S Curve ◽  
Motion Profile ◽  
Better Than

It is well believed that S-curve motion profiles are able to reduce residual vibration, and are widely applied in the motion control fields. Recently, a new asymmetric S-curve (AS-curve) motion profile, which is able to effectively adjust the acceleration and deceleration periods, is proposed to enhance the performance of S-curve motion profile, and proved to be better than the traditional symmetric S-curve in many cases. However, most commercial motion controllers do not support the AS-curve motion profiles inherently. Special knowledge or expensive advanced controlling systems, such as dSPACE system, are required to generate the AS-curve motion command, which limits the applications of the AS-curve motion profile in many practical applications. In this paper, a generic method based on the Position-Velocity-Time (PVT) mode move supported by most commercial motion controllers is proposed to generate exact AS-curve motion command in real machines. The analytic polynomial functions of AS-curve motion profile are also derived to simplify the further application, and the effectiveness of the proposed method is verified by numerical simulation.

Verifying Tolerant Systems Using Polynomial Approximations

2009 ◽  
Author(s):  
Pavithra Prabhakar ◽  
Vladimeros Vladimerou ◽  
Mahesh Viswanathan ◽  
Geir E. Dullerud
Keyword(s):  
Polynomial Approximations
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