Synchronization of mechanical horizontal platform systems in finite time
Synchronization of mechanical horizontal platform systems in finite time
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DOI：
10.1016/j.apm.2011.11.040
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发表时间：
2012-10-01
影响因子：
5
通讯作者：
Aghababa, Hasan Pourmahmood
中科院分区：
文献类型：
--
作者：
Aghababa, Mohammad Pourmahmood;Aghababa, Hasan Pourmahmood
水平平台系统(HPS)是一种表现出丰富的混沌动力学的机械装置。本文研究了两个非自治混沌HPS的有限时间同步问题。假设驱动系统和响应系统都受到模型不确定性、外部扰动和完全未知参数的干扰。对于未知参数，提出了相应的更新规律。利用更新律和有限时间控制理论，给出了在给定的有限时间内使两个不确定HPS同步的鲁棒自适应控制器。随后，考虑了输入非线性的影响，引入了一种鲁棒自适应控制器来实现两个不确定HPS在有限时间内的同步。对所提出的格式的有限时间稳定性和收敛进行了分析证明。给出了两个算例，说明了所提出的自适应有限时间控制技术的鲁棒性和适用性。(C)2011 Elsevier Inc.保留所有权利。
The horizontal platform system (HPS) is a mechanical device that exhibits rich and chaotic dynamics. In this paper, the problem of finite-time synchronization of two non-autonomous chaotic HPSs is investigated. It is assumed that both drive and response systems are disturbed by model uncertainties, external disturbances and fully unknown parameters. Appropriate update laws are proposed to undertake the unknown parameters. Using the update laws and finite-time control theory, a robust adaptive controller is derived to synchronize the two uncertain HPSs in a given finite time. Subsequently, the effects of input nonlinearities are taken into account and a robust adaptive controller is introduced to synchronize the two uncertain HPSs within a finite time. The finite-time stability and convergence of the proposed schemes are analytically proved. Two illustrative examples are presented to show the robustness and applicability of the proposed adaptive finite-time control techniques. (C) 2011 Elsevier Inc. All rights reserved.