The article is concerned with active disturbance rejection control of a heat equation. The considered heat equation satisfies the Dirichlet boundary condition on one part of the boundary. On the other part of the boundary is located a Neumann boundary control. The heat equation system suffers from both a model uncertainty in the heat flow modeling and an unknown external disturbance. Our control approach is based on the design of an exponentially converging observer to estimates both the state and the unknown uncertainty. The estimated state and the estimated uncertainty are used to build a stabilizing feedback control law such that the closed-loop system is exponentially stabilized, and the external disturbance is rejected.

中文翻译：

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热方程的观测器和抗扰控制


本文涉及热方程的自抗扰控制。所考虑的热方程在边界的一部分上满足狄利克雷边界条件。边界的另一部分设有诺依曼边界控制。热方程系统受到热流建模中的模型不确定性和未知的外部干扰的影响。我们的控制方法基于指数收敛观察器的设计来估计状态和未知的不确定性。估计的状态和估计的不确定性被用来建立稳定反馈控制律，使得闭环系统指数稳定，并且抑制外部扰动。