Convergence of Approximations to Riccati-based Boundary-feedback Stabilization of Laminar Flows1. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Benner, P.; Heiland, J.
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 12296
• Page End: 12300
• Publication Date: 2017-07
• Subjects: Flow control -- Feedback stabilization -- Finite element analysis -- Riccati equations -- Numerical simulation; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.2476
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Riccati-based feedback is commonly applied for the stabilization of flows in theory and in simulations. Nonetheless, there are few attempts to show the convergence of numerically computed feedback gains to the feedback defined by the actual model. In this work, we investigate how standard finite-dimensional formulations approximate the system dynamics and provide sufficient conditions for the convergence of the numerical approximations. The sufficient conditions are partially established for the model problem of the cylinder wake.