Sampled-data observer for 2D Navier-Stokes equation
Wen Kang, Emilia Fridman, et al.
CDC 2019
The paper presents analytic expressions of minimax (worst-case) estimates for solutions of linear abstract Neumann problems in Hilbert space with uncertain (not necessarily bounded!) inputs and boundary conditions given incomplete observations with stochastic noise. The latter is assumed to have uncertain but bounded correlation operator. It is demonstrated that the minimax estimate is asymptotically exact under mild assumptions on the observation operator and the bounding sets. A relationship between the proposed estimates and a robust pseudo-inversion of compact operators is revealed. This relationship is demonstrated on an academic numerical example: homogeneous Neumann problem for Poisson equation in two spatial dimensions.
Wen Kang, Emilia Fridman, et al.
CDC 2019
E.H. van Brummelen, Sergiy Zhuk, et al.
Comput. Methods Appl. Mech. Eng.
Sergiy Zhuk, Stephen Moore, et al.
ECC 2015
Sergiy Zhuk, Orest V. Iftime, et al.
Systems and Control Letters