LQR-based coupling gain for synchronization of linear systems
LQR-based coupling gain for synchronization of linear systems
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发表时间：
2008-01
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通讯作者：
S. E. Tuna
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作者：
S. E. Tuna
研究了耦合连续线性系统的同步控制。对于可稳定的相同系统，给出了一个由代数Riccati方程得到的线性反馈律，该律可以同步任意数量的耦合系统的固定有向网络，只要耦合足够强。耦合强度由耦合矩阵的非零特征值到虚轴的最小距离决定。还考虑并解决了通过输出耦合的可检测系统的对偶问题。
Synchronization control of coupled continuous-time linear systems is studied. For identical systems that are stabilizable, a linear feedback law obtained via algebraic Riccati equation is shown to synchronize any fixed directed network of any number of coupled systems provided that the coupling is strong enough. The strength of coupling is determined by the smallest distance of a nonzero eigenvalue of the coupling matrix to the imaginary axis. A dual problem where detectable systems that are coupled via their outputs is also considered and solved.