Robust output regulation of the linearized Boussinesq equations with boundary control and observation
Robust output regulation of the linearized Boussinesq equations with boundary control and observation
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DOI：
10.1007/s00498-021-00313-y
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发表时间：
2020-10
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影响因子：
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通讯作者：
N. Leppla;B. M. Drees;A. Showler;John L. Capinera;Jorge E. Peña;C. Mannion;F. William Howard;
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文献类型：
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作者：
N. Leppla;B. M. Drees;A. Showler;John L. Capinera;Jorge E. Peña;C. Mannion;F. William Howard;
研究了二维房间模型的温度和速度输出跟踪问题，其中流体动力学由线性化的平移Boussinesq方程控制。此外，房间模型包括驱动和传感动态的有限维模型;因此，完整的模型动态由ODE-PDE-ODE级联控制。作为主要贡献，我们设计了一个低维的基于内模的控制器的房间模型的鲁棒输出跟踪。通过一个数值例子证明了控制器的性能。
We study a temperature and velocity output tracking problem for a two-dimensional room model with the fluid dynamics governed by the linearized translated Boussinesq equations. Additionally, the room model includes finite-dimensional models for actuation and sensing dynamics; thus, the complete model dynamics are governed by an ODE–PDE–ODE cascade. As the main contribution, we design a low-dimensional internal model-based controller for robust output tracking of the room model. The controller’s performance is demonstrated through a numerical example.