Method for Pre-Estimating Dynamically the Optimum of Extremum Value Control System Based on Least Squares

2012 ◽  
Vol 507 ◽  
pp. 176-179
Author(s):  
Guo Qiang Li ◽  
Yong Qin Liu ◽  
Wen Jiang Liu
Keyword(s):  
Control System ◽  
Time Delay ◽  
Least Squares ◽  
Linear Part ◽  
High Order ◽  
Delay Element ◽  
High Order Element ◽  
Extremum Value ◽  
Order Element ◽  
Dynamic Element

As the optimum of extremum value control system drifts faster it may make bigger error for pre-estimating statically the optimum, it is particularly remarkable if the transfer function of the linear part is with a high order dynamic element. In this paper, a method based on LS(least squares) is presented to pre-estimate dynamically the optimum of extremum value control system. The linear part of controlled plant could be approximated by a cascade of 1st order dynamic element and a pure time delay element as the controlled model is simplified it is successfully resolved for pre-estimating dynamically the optimum of extremum value control system with a high order element by LS.

Pre-Estimating Dynamically the Optimum of Extremum Value Control System with Large Time Delay Element Based on Correlation Identification

2012 ◽  
Vol 591-593 ◽  
pp. 1558-1562
Author(s):  
Guo Qiang Li ◽  
Yong Qin Liu ◽  
Wen Jiang Liu
Keyword(s):  
Control System ◽  
Time Delay ◽  
Transfer Function ◽  
Large Time ◽  
Linear Part ◽  
High Order ◽  
Delay Element ◽  
System A ◽  
Extremum Value ◽  
Derivation Process

As to the optimum of extremum value controlled plant, if the transfer function of its linear part is only with the high order dynamic elements, the optimum of extremum value control system could be dynamically pre-estimated by using the method based on correlation identification we presented, the pre-estimating method has the estimate speed quickly, anti-jamming ability strong, accurate, highly effective and so on the merits. However, if the controlled plant is simultaneously with high order dynamic elements and a large time delay element, the method could not be used directly to pre-estimate dynamically the optimum of the extremum value control system. A new improved pre-estimating method is presented so as to resolve the problem above. After we have in detail analyzed the derivation process of the pre-estimating method we presented, Fully taking into account the effects of large time-delay element, a number of conditions have been improved, the algorithm based on correlation identification has been extended, the optimum of extremum value control system with a large time delay element is well resolved by the extended algorithm.

scholarly journals libCEED: Fast algebra for high-order element-based discretizations

2021 ◽  
Vol 6 (63) ◽  
pp. 2945
Author(s):  
Jed Brown ◽  
Ahmad Abdelfattah ◽  
Valeria Barra ◽  
Natalie Beams ◽  
Jean-Sylvain Camier ◽  
...  
Keyword(s):  
High Order ◽  
High Order Element ◽  
Order Element
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