Optimal control of a linear unbranched chemical process with $$n$$ n steps: the quasi-analytical solution

2013 ◽  
Vol 52 (4) ◽  
pp. 1036-1049 ◽  
Author(s):  
L. Bayón ◽  
J. M. Grau ◽  
M. M. Ruiz ◽  
P. M. Suárez
Keyword(s):  
Optimal Control ◽  
Analytical Solution ◽  
Chemical Process

scholarly journals Intrinsic Optimal Control for Mechanical Systems on Lie Group

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Chao Liu ◽  
Shengjing Tang ◽  
Jie Guo
Keyword(s):  
Optimal Control ◽  
Analytical Solution ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Lie Group ◽  
Control Method ◽  
Geodesic Distance ◽  
Infinite Horizon ◽  
Mechanical Systems ◽  
Programming Approach

The intrinsic infinite horizon optimal control problem of mechanical systems on Lie group is investigated. The geometric optimal control problem is built on the intrinsic coordinate-free model, which is provided with Levi-Civita connection. In order to obtain an analytical solution of the optimal problem in the geometric viewpoint, a simplified nominal system on Lie group with an extra feedback loop is presented. With geodesic distance and Riemann metric on Lie group integrated into the cost function, a dynamic programming approach is employed and an analytical solution of the optimal problem on Lie group is obtained via the Hamilton-Jacobi-Bellman equation. For a special case on SO(3), the intrinsic optimal control method is used for a quadrotor rotation control problem and simulation results are provided to show the control performance.

Influence of enzyme production dynamics on the optimal control of a linear unbranched chemical process

2018 ◽  
Vol 57 (5) ◽  
pp. 1330-1343 ◽  
Author(s):  
L. Bayón ◽  
P. Fortuny Ayuso ◽  
J. A. Otero ◽  
P. M. Suárez ◽  
C. Tasis
Keyword(s):  
Optimal Control ◽  
Enzyme Production ◽  
Chemical Process ◽  
Production Dynamics

An improved finite element meshing strategy for optimal control of chemical process

2017 ◽  
Author(s):  
Minliang Gong ◽  
Aipeng Jiang ◽  
Quannan Zhang ◽  
Haokun Wang ◽  
Junjie Hu ◽  
...  
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Chemical Process ◽  
Finite Element Meshing

The Use of Optimal Control Theory as a Benchmarking Tool in Production-Inventory Systems

2018 ◽  
pp. 284-308
Author(s):  
Paulo Nocera Alves Jr. ◽  
Elmer Pablo Tito Cari
Keyword(s):  
Optimal Control ◽  
Analytical Solution ◽  
Control Theory ◽  
Data Base ◽  
Inventory Control ◽  
Optimal Control Theory ◽  
Inventory Systems ◽  
Advantages And Disadvantages ◽  
Production Inventory ◽  
Using Data

This chapter addresses some issues related to some Optimal Control Theory (OCT) problems (for example, impossible analytical solution because of an unsolvable integral, or punctual parameters that were unrealistic). It is proposed the use of OCT as a benchmarking tool to analyze inventory control systems to enhance parameters. In addition, the application of methods and heuristics in solving these problems is also described. These methods are discussed and applied in calculating the production and inventory functions using data of accounting variables of USA and Brazil companies, available in the Economatica software data base. Eventually, the results are compared and some recommendations about the advantages and disadvantages of each method are accomplished.

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