An improved smoothing technique-based control vector parameterization method for optimal control problems with inequality path constraints

2016 ◽  
Vol 38 (4) ◽  
pp. 586-600 ◽  
Author(s):  
Ping Liu ◽  
Xiangyu Li ◽  
Xinggao Liu ◽  
Yunqing Hu
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Smoothing Technique ◽  
Control Vector ◽  
Parameterization Method ◽  
Path Constraints ◽  
Control Vector Parameterization

Adaptive control parameterization method by density functions for optimal control problems

2019 ◽  
Vol 37 (2) ◽  
pp. 497-512
Author(s):  
Nastaran Ejlali ◽  
Seyed Mohammad Hosseini
Keyword(s):  
Optimal Control ◽  
Adaptive Control ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Uniform Mesh ◽  
Density Functions ◽  
Parameterization Method ◽  
Control Parameterization ◽  
Mesh Density ◽  
Approximate Control

Abstract This paper proposes an efficient adaptive control parameterization method for solving optimal control problems. In this method, mesh density functions are used to generate mesh points. In the first step, the problem is solved by control parameterization on uniform mesh points. Then at each step, the approximate control obtained from the previous step is applied to construct a mesh density function, and consequently a new adapted set of mesh points. Several numerical examples are included to demonstrate that the adaptive control parameterization method is more accurate than a uniform control parameterization one.

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