Robust synthesis for master-slave synchronization of Lur'e systems
Robust synthesis for master-slave synchronization of Lur'e systems
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DOI：
10.1109/81.774230
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发表时间：
1999
影响因子：
5.1
通讯作者：
J. Suykens;P. Curran;L. Chua
中科院分区：
文献类型：
--
作者：
J. Suykens;P. Curran;L. Chua
本文提出了一种鲁棒同步的全静态误差反馈和动态输出误差反馈的方法。在同步方案中考虑了系统之间的参数失配。基于二次李雅普诺夫函数，给出了系统一致同步的充分条件和同步误差的界。Lur'e系统之间没有参数失配的情况下的矩阵不等式保持不变，但必须考虑一个额外的鲁棒性准则。鲁棒性准则是基于同步误差界和参数失配之间的不确定性关系。以双涡卷蔡氏电路为例说明了鲁棒综合方法。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（如极限环和稳定平衡）的情况下，也可以将主从系统同步到相对较小的误差范围。
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 the synchronization 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'e systems 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 is illustrated 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.