Beschreibung:
This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. One of the main features of the book is a unique "e;backstepping"e; approach to parabolic partial differential equations, which yields not only the stabilization of the flow, but also the explicit solvability of the closed-loop system.The work is an excellent reference for a broad, interdisciplinary engineering and mathematics audience: control theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electrical engineers, applied mathematicians, as well as research and graduate students in these fields.
This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. One of the main features of the book is a unique "backstepping" approach to parabolic partial differential equations, which yields not only the stabilization of the flow, but also the explicit solvability of the closed-loop system.
The work is an excellent reference for a broad, interdisciplinary engineering and mathematics audience: control theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electrical engineers, applied mathematicians, as well as research and graduate students in these fields.
Thermal-Fluid Convection Loop: Boundary Stabilization.- Thermal-Fluid Convection Loop: Boundary Estimation and Output-Feedback Stabilization.- 2D Navier–Stokes Channel Flow: Boundary Stabilization.- 2D Navier–Stokes Channel Flow: Boundary Estimation.- 3D Magnetohydrodynamic Channel Flow: Boundary Stabilization.- 3D Magnetohydrodynamic Channel Flow: Boundary Estimation.- 2D Navier–Stokes Channel Flow: Stable Flow Transfer.- Open Problems.
