In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers
Control and Optimization
A Sub-Ordinary Approach to Achieve Near-Exact Solutions for a Class of Optimal Control Problems

Akbar Hashemi Borzabadi; Mohammad Gholami Baladezaei; Morteza Ghachpazan

Articles in Press, Accepted Manuscript, Available Online from 02 October 2024

https://doi.org/10.30473/coam.2024.70834.1254

Abstract
  This paper explores the advantages of Sub-ODE strategy in deriving near-exact‎ ‎solutions for a class of linear and nonlinear optimal control‎ ‎problems (OCPs) that can be transformed into nonlinear‎ ‎partial differential equations (PDEs). Recognizing that converting an OCP into ...  Read More

Solving a Class of Nonlinear Optimal Control Problems Using Haar Wavelets and Hybrid GA

Saeed Nezhadhosein‎; Reza Ghanbari; Khatere Ghorbani-Moghadam

Volume 8, Issue 1 , June 2023, , Pages 1-17

https://doi.org/10.30473/coam.2023.65549.1214

Abstract
  In this paper, we solve a class of nonlinear optimal control problems using a hybrid genetic algorithm (HGA) and a direct method based on the Haar wavelets where the performance index is Bolza-form and the dynamic system is linear‎. ‎First‎, ‎we change the problem by using HWs to a static ...  Read More

Optimal Control Problems‎: ‎Convergence and Error Analysis in Reproducing Kernel Hilbert Spaces

Ebrahim Amini

Volume 6, Issue 2 , July 2021, , Pages 53-77

https://doi.org/10.30473/coam.2022.59267.1164

Abstract
  In this article‎, ‎we offer an efficient method to find an approximate solution for quadratic optimal control problems‎. ‎The approximate solution is offered in a finite series form in reproducing kernel space‎. ‎The convergence of proposed method is analyzed under some hypotheses ...  Read More

Extraction of Approximate Solution for a Class of‎ ‎Nonlinear Optimal Control Problems Using 1/G'-Expansion Technique

Mohammad Gholami Baladezaei; Morteza Gachpazan; Akbar Hashemi Borzabadi

Volume 5, Issue 2 , July 2020, , Pages 65-82

https://doi.org/10.30473/coam.2021.59069.1163

Abstract
  In this paper‎, ‎the benefits of 1/G'-expansion technique are utilized to create a direct scheme for extracting approximate solutions for a class of optimal control problems‎. ‎In the given approach‎, ‎first state and control functions have been parameterized as a power series‎, ...  Read More