Optimal synergetic control for fractional-order systems

被引：68
作者：
Djennoune, Said [1 ]
Bettayeb, Maamar [2 ,3 ]
机构：
[1] Univ Mouloud Mammeri, Lab Concept & Conduite Syst Prod, Tizi Ouzou, Algeria
[2] Univ Sharjah, Dept Elect & Comp Engn, Sharjah, U Arab Emirates
[3] King Abdulaziz Univ, Coll Engn, Jeddah 21413, Saudi Arabia
来源：
AUTOMATICA | 2013年 / 49卷 / 07期
关键词：
Fractional-order systems; Fractional-order controller; Synergetic control; Optimal control; SLIDING MODE CONTROL;
D O I：
10.1016/j.automatica.2013.04.007
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Nowadays, the control of fractional-order system is one of the most popular topics in control theory. Recent studies have demonstrated the interest of fractional calculus both for systems modeling in many areas of science and engineering and for robust controller design. Thus, several research contributions have been devoted to the extension of control theory to fractional-order systems. Synergetic control was introduced in power electronics and other industrial processes. The benefit of this control scheme has been recognized for both integer-order linear and nonlinear systems. In this paper, a fractional-order synergetic control for fractional-order systems is proposed. Both linear and nonlinear cases are considered. The macro-variable is defined by the fractional-order integral of state variables. Optimality and stability properties are analyzed. A numerical example is investigated to confirm the effectiveness of the proposed method. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2243 / 2249
页数：7
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