Add to ORKGAbstract — In this paper, a method for solving a class of nonlinear optimal control problems is presented. The method is based on replacing the dynamic nonlinear optimal control problem by a sequence of quadratic programming problems. To this end, the iterative technique developed by Banks is used to replace the original nonlinear dynamic system by a sequence of linear time-varying dynamic systems, then each of the new problems is converted to quadratic programming problem by parameterizing the state variables by a finite length Chebyshev series with unknown parameters. To show the effectiveness of the proposed method, simulation results of a nonlinear optimal control problem are presented. Index Terms — Nonlinear quadratic optimal control ...
A novel iterative procedure is described for solving nonlinear optimal control problems subject to d...
An iterative procedure is described for solving nonlinear optimal control problems subject to differ...
In this paper, we derive an efficient Chebyshev algorithm for solving optimal control problems. The ...
In this paper the quasilinearization technique along with the Chebyshev polynomials of the first typ...
. In this paper the Chebyshev finite difference method is employed for finding the approximate solu...
A Chebyshev-based state representation method is developed for solving optimal control problems invo...
The present work introduces a method to solve constrained nonlinear optimal control problems using s...
A computationally attractive method for determining the optimal control of unconstrained linear dyna...
AbstractIn this paper we propose a computationally attractive numerical method for determining the o...
A numerical algorithm based on a Chebyshev series expansion of control and state variables solves op...
In this article, we give an analytical approximate solution for non-linear quadratic optimal contro...
In this paper we consider the solution of discrete optimal control problems via mathematicalprogramm...
This paper concerns with the solution of optimal control problems transcribed into nonlinear program...
A technique is derived for solving a non-linear optimal control problem by iterating on a sequence o...
In this paper a numerical method for the solution of state-constrained optimal control problems is p...
A novel iterative procedure is described for solving nonlinear optimal control problems subject to d...
An iterative procedure is described for solving nonlinear optimal control problems subject to differ...
In this paper, we derive an efficient Chebyshev algorithm for solving optimal control problems. The ...
In this paper the quasilinearization technique along with the Chebyshev polynomials of the first typ...
. In this paper the Chebyshev finite difference method is employed for finding the approximate solu...
A Chebyshev-based state representation method is developed for solving optimal control problems invo...
The present work introduces a method to solve constrained nonlinear optimal control problems using s...
A computationally attractive method for determining the optimal control of unconstrained linear dyna...
AbstractIn this paper we propose a computationally attractive numerical method for determining the o...
A numerical algorithm based on a Chebyshev series expansion of control and state variables solves op...
In this article, we give an analytical approximate solution for non-linear quadratic optimal contro...
In this paper we consider the solution of discrete optimal control problems via mathematicalprogramm...
This paper concerns with the solution of optimal control problems transcribed into nonlinear program...
A technique is derived for solving a non-linear optimal control problem by iterating on a sequence o...
In this paper a numerical method for the solution of state-constrained optimal control problems is p...
A novel iterative procedure is described for solving nonlinear optimal control problems subject to d...
An iterative procedure is described for solving nonlinear optimal control problems subject to differ...
In this paper, we derive an efficient Chebyshev algorithm for solving optimal control problems. The ...