论文标题
具有分布式控制和观察的室温模型的强大输出跟踪
Robust Output Tracking for a Room Temperature Model with Distributed Control and Observation
论文作者
论文摘要
我们考虑了描述房间中温度演化的部分微分方程模型的强大输出调节。更确切地说，我们检查了一个二维房间模型，其速度场和温度演变分别受速度场和温度演化，分别由不可压缩的稳态NAVIER-Stokes和Advection-tiffusion方程组成，并将其耦合在一起，从而简化了Boussinesq方程的简化。我们假设系统的控制和观察操作员是分布的，而干扰作用于系统边界的一部分。我们使用有限维低阶控制器解决了可靠的输出调控问题，该控制器是在模型的有限元近似值上构建的。通过数值模拟，我们将缩小订单控制器的性能与控制器的性能进行比较，而没有模型降低以及低增益鲁棒控制器的性能。
We consider robust output regulation of a partial differential equation model describing temperature evolution in a room. More precisely, we examine a two-dimensional room model with the velocity field and temperature evolution governed by the incompressible steady state Navier-Stokes and advection-diffusion equations, respectively, which coupled together form a simplification of the Boussinesq equations. We assume that the control and observation operators of our system are distributed, whereas the disturbance acts on a part of the boundary of the system. We solve the robust output regulation problem using a finite-dimensional low-order controller, which is constructed using model reduction on a finite element approximation of the model. Through numerical simulations, we compare performance of the reduced-order controller to that of the controller without model reduction as well as to performance of a low-gain robust controller.
