scholarly journals Optimal Control of Time Delay System; Computation of Gradient Function

1971 ◽  
Vol 7 (2) ◽  
pp. 172-180
Author(s):  
Kunihiko ICHIKAWA
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Delay System ◽  
Time Delay System ◽  
Gradient Function

scholarly journals Robust optimal control of a nonlinear impulsive time-delay system for 1,3-PD fed-batch culture

2021 ◽  
Vol 2113 (1) ◽  
pp. 012022
Author(s):  
Chao Sun
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Control Variable ◽  
Optimization Method ◽  
Delay System ◽  
Experimental Result ◽  
Time Delay System ◽  
Robust Optimal Control ◽  
Robust Model ◽  
Feeding Process

Abstract In this paper, taking the feeding process as a form of impulsive and considering the time-delay in fermentation process. A robust model with the time-delay system as the control variable and the time-delay system as the constraint is established. In order to solve this optimal control problem, we have propose an particle swarm optimization method to solve problem. Numerical results show that 1,3-PD yield at the terminal time increases compared with the experimental result.

Experimental results of a control time delay system using optimal control

2011 ◽  
Vol 33 (1) ◽  
pp. 100-113 ◽  
Author(s):  
Omar Santos ◽  
Liliam Rodríguez-Guerrero ◽  
Omar López-Ortega
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Delay System ◽  
Experimental Results ◽  
Time Delay System ◽  
Control Time

scholarly journals Optimal Control of a Nonlinear Time-Delay System in Batch Fermentation Process

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Yongsheng Yu
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Batch Process ◽  
Delay System ◽  
High Yield ◽  
Time Delay System ◽  
Control Variables ◽  
Terminal Time

The main control goal in batch process is to get a high yield of products. In this paper, to maximize the yield of 1,3-propanediol (1,3-PD) in bioconversion of glycerol to 1,3-PD, we consider an optimal control problem involving a nonlinear time-delay system. The control variables in this problem include the initial concentrations of biomass and glycerol and the terminal time of the batch process. By a time-scaling transformation, we transcribe the optimal control problem into a new one with fixed terminal time, which yields a new nonlinear system with variable time-delay. The gradients of the cost and constraint functionals with respect to the control variables are derived using the costate method. Then, a gradient-based optimization method is developed to solve the optimal control problem. Numerical results show that the yield of 1,3-PD at the terminal time is increased considerably compared with the experimental data.

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