基于退步控制技术的两类非相同特殊严格反馈系统的降阶同步

IF 1.9 4区 工程技术 Q3 ENGINEERING, MECHANICAL
Riddhi Bora, Bharat Bhushan Sharma
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引用次数: 0

摘要

摘要本文提供了一种系统的技术来实现主从结构下两种不同阶的混沌系统之间的降阶同步(ROS)。本文假设主从系统的动力学遵循一类特殊的严格反馈形式,即广义三角反馈形式。主要目标是使用基于李雅普诺夫理论的后退方法设计一个合适的标量控制器,使第m阶从系统与第n阶主系统同步。由于系统的顺序不同(m<n和m=(n−1)),从系统的m个状态与主系统的(n−1)个状态分别只能实现同步。我们不能断定主系统的第n个状态的稳定性,因为从系统中没有对应的(状态)可用来与之同步。向从系统添加一个额外的(m+1)状态动态以及一个非线性反馈控制器(U1),以确保主系统的第n个状态与从系统的(m+1)个状态动态同步。使用本文建议的技术,只需两个控制器就可以实现完全的状态到状态同步。最后通过数值模拟验证了分析结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Reduced Order Synchronization of Two Non-Identical Special Class of Strict Feedback Systems via Back-Stepping Control Technique
Abstract This work offers a systematic technique to achieve reduced order synchronization (ROS) between two different order general classes of chaotic systems in a master-slave configuration. In this study, the dynamics of the master and slave systems are assumed to follow a special class of strict-feedback form, namely, the generalized triangular feedback form. The main objective is to design a suitable scalar controller using a Lyapunov theory-based back-stepping approach such that the mth order slave system gets synchronized with the nth order master system. Due to the difference in the order of the systems (m&lt;n and m=(n−1)), it is only possible to achieve the synchronization between m numbers of states of the slave systems with (n−1) numbers of states of the master system, respectively. We cannot conclude on the stability of the nth state of the master system as there is no counterpart (state) available in the slave system to be synchronized with. Adding an additional (m+1)th state dynamics along with a nonlinear feedback controller (U1) to the slave system ensures that the nth state of the master system is synchronized with the (m+1)th state dynamics of the slave system. With the suggested technique proposed in this article, complete state-to-state synchronization can be achieved with only two controllers. The analytical results are successfully validated through numerical simulations presented in the end.
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来源期刊
CiteScore
4.00
自引率
10.00%
发文量
72
审稿时长
6-12 weeks
期刊介绍: The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.
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