Receding horizon control based on the variational iteration method

被引：0

作者：

Terkmani R. ^{[1
]}

Maidi A. ^{[1
]}

Guermah S. ^{[1
]}

Aidene M. ^{[1
]}

机构：

[1] Laboratoire de Conception et Conduite des Systèmes de Production, Université Mouloud Mammeri, Tizi-Ouzou

来源：

International Journal of Systems, Control and Communications | 2020年 / 11卷 / 03期

关键词：

Calculus of variations; Euler-Lagrange equation; Model predictive control; MPC; Optimal control; Receding horizon control; Variational iteration method; VIM;

D O I：

10.1504/IJSCC.2020.109072

中图分类号：

学科分类号：

摘要：

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. Copyright © 2020 Inderscience Enterprises Ltd.

引用

页码：242 / 260

页数：18

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