scholarly journals An efficient adjoint computational method based on lifted IRK integrator and exact penalty function for optimal control problems involving continuous inequality constraints

2020 ◽  
Vol 13 (6) ◽  
pp. 1845-1865 ◽  
Author(s):  
Canghua Jiang ◽  
◽  
Zhiqiang Guo ◽  
Xin Li ◽  
Hai Wang ◽  
...  
Keyword(s):  
Optimal Control ◽  
Penalty Function ◽  
Optimal Control Problems ◽  
Inequality Constraints ◽  
Exact Penalty Function ◽  
Computational Method ◽  
Control Problems ◽  
Exact Penalty

Exact penalty function approach to constrained optimal control problems

1989 ◽  
Vol 10 (2) ◽  
pp. 173-180 ◽  
Author(s):  
A. Q. Xing ◽  
Z. H. Chen ◽  
C. L. Wang ◽  
Y. Y. Yao
Keyword(s):  
Optimal Control ◽  
Penalty Function ◽  
Optimal Control Problems ◽  
Exact Penalty Function ◽  
Function Approach ◽  
Control Problems ◽  
Exact Penalty ◽  
Constrained Optimal Control ◽  
Penalty Function Approach

Fibonacci wavelets and Galerkin method to investigate fractional optimal control problems with bibliometric analysis

2020 ◽  
pp. 107754632094834 ◽  
Author(s):  
Sedigheh Sabermahani ◽  
Yadollah Ordokhani
Keyword(s):  
Optimal Control ◽  
Galerkin Method ◽  
Optimal Control Problems ◽  
Operational Matrix ◽  
Inequality Constraints ◽  
Computational Method ◽  
Control Problems ◽  
Algebraic Equations ◽  
Fractional Optimal Control ◽  
Fractional Optimal Control Problems

This study presents a computational method for the solution of the fractional optimal control problems subject to fractional systems with equality and inequality constraints. The proposed procedure is based upon Fibonacci wavelets. The fractional derivative is described in the Caputo sense. The Riemann–Liouville operational matrix for Fibonacci wavelets is obtained. Then, we use this operational matrix and the Galerkin method to reduce the given problem into a system of algebraic equations. We discuss the convergence of the algorithm. Several numerical examples are included to observe the validity, effectiveness, and accuracy of the suggested scheme. Moreover, fractional optimal control problems are studied through a bibliometric viewpoint.

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