Backstepping observer-based output feedback control for a class of coupled parabolic PDEs with different diffusions
Backstepping observer-based output feedback control for a class of coupled parabolic PDEs with different diffusions
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DOI：
10.1016/j.sysconle.2016.09.004
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发表时间：
2016-11-01
影响因子：
2.6
通讯作者：
Liu, Da-Yan
中科院分区：
文献类型：
--
作者：
Liu, Bai-Nan;Boutat, Driss;Liu, Da-Yan
针对一类具有不同扩散系数的耦合抛物型偏微分方程，设计了一种基于反步递推的输出反馈控制器。所考虑的系统被赋予一个传感器在左边界和驱动在右边界。首先，设计了一个反推观测器。其次，与现有文献相比，推导出一个较弱的条件，以保证通过控制器的植物系统的稳定性。第三，利用分离原理，在所设计的观测器和控制器的基础上，设计了基于滑模控制的输出反馈控制器。最后，以化学管式反应器的简化模型为例，验证了该方法的有效性。(C)2016爱思唯尔B.V.保留所有权利。
This paper aims to design a backstepping observer-based output feedback controller for a class of coupled parabolic Partial Differential Equations (PDEs) with different diffusions. The considered system is endowed with a sensor at the left boundary and an actuation at the right boundary. Firstly, a backstepping observer is designed. Secondly, compared to the existing literature a weaker condition is deduced to guarantee the stability of the plant system by means of a controller. Thirdly, using the separation principle, an observer-based output feedback controller is set up based on the designed observer and controller. Finally, the efficiency of the proposed method is shown by taking a simplified model of Chemical Tubular Reactor. (C) 2016 Elsevier B.V. All rights reserved.