Adaptive soft variable structure controller with control constraints for synchronization of fractional-order chaotic systems

被引：0
|
作者：
Shao K.-Y. [1 ]
Guo H.-X. [1 ]
Han F. [1 ]
Zhang Y. [1 ]
Wang J.-C. [1 ]
机构：
[1] School of Electrical Engineering and Information, Northeastern Petroleum University, Daqing
来源：
Kongzhi yu Juece/Control and Decision | 2019年 / 34卷 / 06期
关键词：
Adaptive control; Chaos synchronization; Control constraints; Fractional-order chaotic systems; Fractional-order systems; Soft variable structure control;
D O I：
10.13195/j.kzyjc.2017.1533
中图分类号：
学科分类号：
摘要：
The synchronization of two same fractional-order chaotic systems with control constrain is investigated. Firstly, based on the linear control theory and adaptive control theory, an adaptive proportional switching control scheme is designed without eliminating the nonlinear part. Then, considering the constraints of the controller, the linear part of the controller is improved using the soft variable structure method which can provide infinite sub-controllers. The soft variable controller is designed for dealing with the control constrain and optimizing the linear controller. At the same time, the stability of the error systems is proved based on the fractional-order Mittag-Leffler theory. Giving consideration to the stability and the robustness of the system, the adjustment time is shortened and the chattering is effectively suppressed. Finally, by using the designed controller, the synchronization of the fractional-order Chen chaotic system is realized. The numerical simulation results show the effectiveness and feasibility of the designed controller. The advantages of the soft variable structure method, which is used in the control of synchronization of fractional-order chaotic systems with control constrain, are verified by comparing the simulation of the two controllers. © 2019, Editorial Office of Control and Decision. All right reserved.
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页码：1325 / 1330
页数：5
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