Title: Receding horizon control based on the variational iteration method

Authors: Rima Terkmani; Ahmed Maidi; Saïd Guermah; Mohamed Aidene

Addresses: Laboratoire de Conception et Conduite des Systèmes de Production, Université Mouloud Mammeri, 15000 Tizi-Ouzou, Algeria ' Laboratoire de Conception et Conduite des Systèmes de Production, Université Mouloud Mammeri, 15000 Tizi-Ouzou, Algeria ' Laboratoire de Conception et Conduite des Systèmes de Production, Université Mouloud Mammeri, 15000 Tizi-Ouzou, Algeria ' Laboratoire de Conception et Conduite des Systèmes de Production, Université Mouloud Mammeri, 15000 Tizi-Ouzou, Algeria

Abstract: In this paper, a new indirect method is proposed for the receding horizon control of dynamical systems. It consists in solving, over a control horizon, the optimality conditions using the variational iteration method. The optimality conditions are given by the Euler-Lagrange equations and their associated boundary conditions. This two-boundary values problem is solved iteratively using a correction functional that yields both the optimal state and the optimal control. Then by imposing, at each sampling time, the current boundary conditions, a system of algebraic equations is obtained and solved, which allows to define the piecewise optimal control to be applied at the current sampling time. The effectiveness of the proposed approach is illustrated by two application examples.

Keywords: receding horizon control; model predictive control; MPC; optimal control; calculus of variations; Euler-Lagrange equation; variational iteration method; VIM.

DOI: 10.1504/IJSCC.2020.109072

International Journal of Systems, Control and Communications, 2020 Vol.11 No.3, pp.242 - 260

Accepted: 17 Jul 2019
Published online: 13 Aug 2020 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article