Disturbance rejection and H∞ pinning control of linear complex dynamical networks |
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引用本文: | 李忠奎,段志生,陈关荣.Disturbance rejection and H∞ pinning control of linear complex dynamical networks[J].中国物理 B,2009,18(12):5228-5234. |
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作者姓名: | 李忠奎 段志生 陈关荣 |
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作者单位: | State Key Laboratory for Turbulence and Complex Systems, Department
of Mechanics and Aerospace Engineering,
College of Engineering,
Peking University, Beijing 100871, China;State Key Laboratory for Turbulence and Complex Systems, Department
of Mechanics and Aerospace Engineering,
College of Engineering,
Peking University, Beijing 100871, China;State Key Laboratory for Turbulence and Complex Systems, Department
of Mechanics and Aerospace Engineering,
College of Engineering,
Peking University, Beijing 100871, China |
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基金项目: | Project supported by the National
Natural Science Foundation of China (Grant No 10832006) and the Key
Projects of Educational Ministry of China (Grant No 107110). |
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摘 要: | This paper concerns the disturbance rejection problem of a linear complex dynamical network subject to external disturbances.A dynamical network is said to be robust to disturbance,if the H ∞ norm of its transfer function matrix from the disturbance to the performance variable is satisfactorily small.It is shown that the disturbance rejection problem of a dynamical network can be solved by analysing the H ∞ control problem of a set of independent systems whose dimensions are equal to that of a single node.A counter-intuitive result is that the disturbance rejection level of the whole network with a diffusive coupling will never be better than that of an isolated node.To improve this,local feedback injections are applied to a small fraction of the nodes in the network.Some criteria for possible performance improvement are derived in terms of linear matrix inequalities.It is further demonstrated via a simulation example that one can indeed improve the disturbance rejection level of the network by pinning the nodes with higher degrees than pinning those with lower degrees.
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关 键 词: | complex dynamical network pinning control H ∞ control robustness |
收稿时间: | 3/3/2009 12:00:00 AM |
修稿时间: | 6/8/2009 12:00:00 AM |
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