A New Solving Method for Non-Linear Optimal Control Problem and Its Application to Automatic Berthing Problem

2018 ◽  
Author(s):  
N. Mizuno ◽  
T. Kita ◽  
T. Ishikawa
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Linear Optimal Control ◽  
Non Linear

Semi-linear optimal control problem on a smooth oscillating domain

2019 ◽  
Vol 22 (04) ◽  
pp. 1950029 ◽  
Author(s):  
S. Aiyappan ◽  
A. K. Nandakumaran ◽  
Ravi Prakash
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Real Life ◽  
Circular Domain ◽  
Linear Optimal Control ◽  
Non Linear ◽  
Oscillating Boundary ◽  
Linear Problems ◽  
Current Setting

We demonstrate the asymptotic analysis of a semi-linear optimal control problem posed on a smooth oscillating boundary domain in the present paper. We have considered a more general oscillating domain than the usual “pillar-type” domains. Consideration of such general domains will be useful in more realistic applications like circular domain with rugose boundary. We study the asymptotic behavior of the problem under consideration using a new generalized periodic unfolding operator. Further, we are studying the homogenization of a non-linear optimal control problem and such non-linear problems are limited in the literature despite the fact that they have enormous real-life applications. Among several other technical difficulties, the absence of a sufficient criteria for the optimal control is one of the most attention-grabbing issues in the current setting. We also obtain corrector results in this paper.

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