Infinite horizon optimal control for nonlinear interconnected large‐scale dynamical systems with an application to optimal attitude control

A Jajarmi, N Pariz, S Effati… - Asian Journal of …, 2012 - Wiley Online Library
This paper presents a novel extended modal series method for solving the infinite horizon
optimal control problem of nonlinear interconnected large‐scale dynamic systems. In this …

[HTML][HTML] An approximate-analytical solution for the Hamilton–Jacobi–Bellman equation via homotopy perturbation method

HS Nik, S Effati, M Shirazian - Applied Mathematical Modelling, 2012 - Elsevier
In this paper, we give an analytical-approximate solution for the Hamilton–Jacobi–Bellman
(HJB) equation arising in optimal control problems using He's polynomials based on …

[HTML][HTML] Application of variational iteration method for Hamilton–Jacobi–Bellman equations

B Kafash, A Delavarkhalafi, SM Karbassi - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, we use the variational iteration method (VIM) for optimal control problems.
First, optimal control problems are transferred to Hamilton–Jacobi–Bellman (HJB) equation …

[PDF][PDF] A numerical approach for solving optimal control problems using the Boubaker polynomials expansion scheme

B Kafash, A Delavarkhalafi… - J. Interpolat. Approx. Sci …, 2014 - academia.edu
In this paper, we present a computational method for solving optimal control problems and
the controlled Duffing oscillator. This method is based on state parametrization. In fact, the …

Solving a class of linear and non-linear optimal control problems by homotopy perturbation method

S Effati, HS Nik - IMA journal of mathematical control and …, 2011 - academic.oup.com
In this paper, we give an analytical approximate solution for non-linear quadratic optimal
control problems and optimal control of linear systems using the homotopy perturbation …

Solving a class of nonlinear optimal control problems via He's variational iteration method

M Shirazian, S Effati - International Journal of Control, Automation and …, 2012 - Springer
This paper presents an analytical approximate solution for a class of nonlinear quadratic
optimal control problems. The proposed method consists of a Variational Iteration Method …

[HTML][HTML] Modified homotopy perturbation method for optimal control problems using the Padé approximant

S Ganjefar, S Rezaei - Applied Mathematical Modelling, 2016 - Elsevier
In this study, we propose a hybrid method that combines the homotopy perturbation method
(HPM) and Padé technique to obtain the approximate analytic solution of the Hamilton …

Optimal guidance law for cooperative attack of multiple missiles based on optimal control theory

X Sun, Y Xia - International Journal of Control, 2012 - Taylor & Francis
This article considers the problem of optimal guidance laws for cooperative attack of multiple
missiles based on the optimal control theory. New guidance laws are presented such that …

The controllability of nonlinear fractional differential system with pure delay

M Nawaz, W Jiang, J Sheng - Advances in Difference Equations, 2020 - Springer
In this study, we are currently investigating the controllability of nonlinear fractional
differential control systems with delays in the state function. The solution representations of …

Controllability of the time-varying fractional dynamical systems with a single delay in control

KS Vishnukumar, SM Sivalingam, H Ahmad… - Nonlinear …, 2024 - Springer
In this article, we explored the controllability of fractional dynamical systems with a single
delay in the control function with the Caputo fractional derivative. It is the first work in which …