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首页> 外文期刊>IEEE Transactions on Automatic Control >Robust synthesis for master-slave synchronization of Lur'e systems
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Robust synthesis for master-slave synchronization of Lur'e systems

机译：用于 Lur'e 系统主从同步的鲁棒综合

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摘要

In this paper a method for robust synthesis of full static-state error feedback and dynamic-output error feedback for master-slave synchronization of Lur'e systems is presented. Parameter mismatch between the systems is considered in thesynchronization schemes. Sufficient conditions for uniform synchronization with a bound on the synchronization error are derived, based on a quadratic Lyapunov function. The matrix inequalities from the case without parameter mismatch between the Lur'esystems remain preserved, but an additional robustness criterion must be taken into account. The robustness criterion is based on an uncertainty relation between the synchronization error bound and the parameter mismatch. The robust synthesis method isillustrated on Chua's circuit with the double scroll. One observes that it is possible to synchronize the master-slave systems up to a relatively small error bound, even in the case of different qualitative behavior between the master and the uncontrolled slave system, such as limit cycles and stable equilibria.
机译：该文提出了一种用于Lur'e系统主从同步的全静态状态误差反馈和动态输出误差反馈的鲁棒综合方法。在同步方案中考虑了系统之间的参数不匹配。基于二次李雅普诺夫函数，推导了具有同步误差界限的均匀同步的充分条件。Lur'esystems 之间没有参数不匹配的情况中的矩阵不等式保持不变，但必须考虑额外的鲁棒性准则。鲁棒性准则基于同步误差边界和参数不匹配之间的不确定性关系。鲁棒的合成方法在Chua的电路上用双卷轴进行了说明。人们观察到，即使在主系统和不受控制的从系统之间存在不同的定性行为（例如极限循环和稳定平衡）的情况下，也可以将主从系统同步到相对较小的误差范围。

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