Title :
Motion planning for the 2D Stokes equations
Author :
Meurer, Tim ; Saidani, Maweheb
Author_Institution :
Autom. & Control Inst. (ACIN), Vienna Univ. of Technol., Vienna, Austria
Abstract :
A flatness-based design systematics is presented to realize desired velocity profiles for the Stokes equations in a 2D domain and spatially distributed interior control. The approach combines early and late lumping techniques and utilizes the spectral properties of the system operator. Re-summation techniques are integrated to enhance the domain of applicability as is illustrated in a simulation scenario.
Keywords :
Navier-Stokes equations; distributed control; flow control; fluid dynamics; path planning; 2D Stokes equations; 2D domain; flatness-based design systematics; lumping techniques; motion planning; resummation techniques; spatially distributed interior control; spectral properties; system operator; velocity profiles; Approximation methods; Convergence; Eigenvalues and eigenfunctions; Equations; Mathematical model; Planning; Trajectory;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426388
