基于间歇控制的不确定主从Lur’e系统的指数同步
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国家自然科学基金资助项目(60774039)


Exponential synchronization of uncertain masterslave lur'e systems via intermittent control
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    摘要:

    研究了不确定主从Lur’e系统的间歇控制同步问题.运用Lyapunov稳定性理论和S过程,首先推导出保证标称主从Lur’e系统指数同步的一个充分条件.在此基础上进一步得到了具有范数有界不确定性主从Lur’e系统鲁棒指数同步的结果.这些同步判据以矩阵不等式的形式给出.另外我们还提出了一种最小化性能指标的优化策略.最后,通过两个数值例子验证了结果的有效性.

    Abstract:

    This paper dealed with the problem of masterslave synchronization for uncertain Lur’e systems via intermittent control. By using Lyapunov theory and Sprocedure, a sufficient condition was firstly derived such that the nominal Lur’e master and slave systems were exponentially synchronous. Based on the obtained result, the robust exponential synchronization for Lur’e master and slave system with normbounded uncertainties was then presented. These synchronization criteria were expressed in terms of matrix inequalities. An optimization strategy was also given to minimize the performance index. Finally, two numerical examples were presented to verify the effectiveness of the theoretical results.

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董佐永,王亚娟,白明辉,左志强.基于间歇控制的不确定主从Lur’e系统的指数同步[J].动力学与控制学报,2009,7(4):328~333; Dong Zuoyong, Wang Yajuan, Bai Minghui, Zuo Zhiqiang. Exponential synchronization of uncertain masterslave lur'e systems via intermittent control[J]. Journal of Dynamics and Control,2009,7(4):328-333.

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  • 收稿日期:2009-03-12
  • 最后修改日期:2009-07-09
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