Gröbner basis computation of feedback control for time optimal state transfer

Author(s):  
Deepak U. Patil ◽  
Ameer K. Mulla ◽  
Debraj Chakraborty ◽  
Harish Pillai
2015 ◽  
Vol 79 ◽  
pp. 1-7 ◽  
Author(s):  
Deepak Patil ◽  
Ameer Mulla ◽  
Debraj Chakraborty ◽  
Harish Pillai

Processes ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 758 ◽  
Author(s):  
Debaprasad Dutta ◽  
Simant Ranjan Upreti

In this work, an optimal state feedback control strategy is proposed for non-linear, distributed-parameter processes. For different values of a given parameter susceptible to upsets, the strategy involves off-line computation of a repository of optimal open-loop states and gains needed for the feedback adjustment of control. A gain is determined by minimizing the perturbation of the objective functional about the new optimal state and control corresponding to a process upset. When an upset is encountered in a running process, the repository is utilized to obtain the control adjustment required to steer the process to the new optimal state. The strategy is successfully applied to a highly non-linear, gas-based heavy oil recovery process controlled by the gas temperature with the state depending non-linearly on time and two spatial directions inside a moving boundary, and subject to pressure upsets. The results demonstrate that when the process has a pressure upset, the proposed strategy is able to determine control adjustments with negligible time delays and to navigate the process to the new optimal state.


2007 ◽  
Vol 31 (3) ◽  
pp. 247-252
Author(s):  
Yun-Hyung Lee ◽  
Heui-Han Yoo ◽  
Kwon-Hae Cho ◽  
Myung-Ok So

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