Adaptive Control Based on Passive Identifier for Uncertain Coupled Parabolic Equations

Adaptive Control Based on Passive Identifier for Uncertain Coupled Parabolic Equations
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不确定耦合抛物方程的基于无源辨识器的自适应控制

DOI:
10.1109/access.2019.2960413
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发表时间:
2019
期刊:
影响因子:
3.9
通讯作者:
Xu Zaihua
Xu Zaihua
中科院分区:
计算机科学3区
文献类型:
--
作者:
Li Jian;Xu Zaihua

文献摘要

参考文献

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研究了一类不确定耦合抛物型方程的镇定问题。严重的未知数和强耦合的存在使得所研究的系统与相关文献的系统有本质的不同,导致了传统方法在这一主题上的无效。为此,通过无限维反推方法和基于无源辨识器的自适应动态补偿技术相结合,显式地构造了一个自适应控制器,它保证闭环系统的所有状态都是有界的,并且原始系统状态收敛到零。最后给出了仿真算例,验证了理论结果的有效性。
This paper is devoted to the stabilization for a class of uncertain coupled parabolic equations. The presence of the serious unknowns and strong coupling makes the system under investigation essentially different from those of the related literature and results in the ineffectiveness of the traditional methods on this topic. For this, by infinite-dimensional backstepping method combining with adaptive dynamic compensation technique based on passive identifier, an adaptive controller is explicitly constructed which guarantees that all the closed-loop system states are bounded and the original system states converge to zero. A simulation example is provided to validate the effectiveness of the theoretical results.
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