论文标题
具有空间点测量的抛物线方程的动力观察者
Dynamical observers for parabolic equations with spatial point measurements
论文作者
论文摘要
提出了指数的Luenberger动力学观察者，以估算一类非自主半线性抛物线方程的状态。结果可以应用于以有限数量的空间点进行的状态测量给出输出的情况，即我们的传感器是有限数量的三角洲分布的情况。输出注入算子是显式的，主要结果的推导涉及状态空间的分解为两个斜组件的直接总和，这取决于一组传感器。将模拟作为用于火焰传播和流体流动的库拉莫托 - 苏瓦辛斯基模型的应用。
An exponential Luenberger dynamical observer is proposed to estimate the state of a general class of nonautonomous semilinear parabolic equations. The result can be applied to the case where the output is given by state measurements taken at a finite number of spatial points, that is, to the case where our sensors are a finite number of delta distributions. The output injection operator is explicit and the derivation of the main result involves the decomposition of the state space into a direct sum of two oblique components depending on the set of sensors. Simulations are presented as an application to the Kuramoto--Sivashinsky models for flame propagation and fluid flow.
