Adaptive stabilization for a class of PDE-ODE cascade systems with uncertain harmonic disturbances
Adaptive stabilization for a class of PDE-ODE cascade systems with uncertain harmonic disturbances
复制标题
具有不确定谐波扰动的一类 PDE-ODE 级联系统的自适应镇定
DOI：
10.1051/cocv/2016001
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发表时间：
2017-04
期刊：
影响因子：
--
通讯作者：
LI Jian
中科院分区：
文献类型：
--
作者：
XU Zaihua;LIU Yungang;LI Jian
Adaptive boundary stabilization is investigated for a class of PDE-ODE cascade systems with general uncertain harmonic disturbances. The essential difference between this paper and the existing related literature is the presence of the uncertain disturbances belonging to an unknown interval, which makes the problem unsolved so far. Motivated by the existing related literature, the paper develops the adaptive boundary stabilization for the PDE-ODE cascade system in question. First, an adaptive boundary feedback controller is constructed in two steps by adaptive and Lyapunov techniques. Then, it is shown that the resulting closed-loop system is well-posed and asymptotically stable, by the semigroup approach and LaSalle’s invariance principle, respectively. Moreover, the parameter estimates involved in the designed controller are shown to ultimately converge to their own real values. Finally, the effectiveness of the proposed method is illustrated by a simulation example.
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DOI：
10.5860/choice.43-1615
发表时间：
2005
期刊：
--
影响因子：
--
作者：
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通讯作者：
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影响因子：
6.8
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IMA J. Math. Control. Inf.
影响因子：
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1993
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通讯作者：
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DOI：
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发表时间：
2011-08
期刊：
Syst. Control. Lett.
影响因子：
--
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通讯作者：
Shuxia Tang;C. Xie