Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems

被引：28

作者：

Basin, Michael ^{[1
]}

Calderon-Alvarez, Dario ^{[1
]}

机构：

[1] Autonomous Univ Nuevo Leon, Dept Phys & Math Sci, San Nicolas De Los Garza 66450, Nuevo Leon, Mexico

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2010年 / 347卷 / 06期

关键词：

Sliding mode control; Identification; Optimal control; DESIGN; DELAY;

D O I：

10.1016/j.jfranklin.2009.11.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents the optimal control problem for a non-linear polynomial system with respect to a Bolza-Meyer criterion with a non-quadratic non-integral term. The optimal solution is obtained as a sliding mode control, whereas the conventional polynomial-quadratic regulator does not lead to a causal solution and, therefore, fails. Performance of the obtained optimal controller is verified in the illustrative example against the conventional polynomial-quadratic regulator that is optimal for the quadratic Bolza-Meyer criterion. The simulation results confirm an advantage in favor of the designed sliding mode control. (C) 2009 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：910 / 922

页数：13

共 18 条

[1]

[Anonymous], INT J ROBUST NONLINE

[2]

[Anonymous], 1999, Sliding mode control in electromechanical systems

[3] Sliding-mode adaptive observer approach to chaotic synchronization [J].