Title :
Reduced order methods for nonlinear infinite dimensional control systems
Author :
Ito, Kazufumi ; Ravindran, S.S.
Author_Institution :
Center for Res. in Sci. Comput., North Carolina State Univ., Raleigh, NC, USA
Abstract :
In this article we discuss nonlinear distributed parameter control problems and the application of the reduced basis element method for the construction of lower-order compensator design. The several methods for generation of reduced basis elements are introduced and then we outline how to use such elements in terms of the design of finite dimensional compensator dynamics. We demonstrate our approach on a control problem formulated in a driven cavity. Numerical results are reported for the open loop control
Keywords :
compensation; control system synthesis; distributed parameter systems; feedback; multidimensional systems; nonlinear control systems; optimisation; reduced order systems; compensation; constrained optimisation; distributed parameter systems; feedback; infinite dimensional systems; nonlinear control systems; open loop control; reduced basis elements; reduced order control; Control systems; Distributed control; Finite difference methods; Finite element methods; Lagrangian functions; Navier-Stokes equations; Nonlinear control systems; Open loop systems; Optimal control; Reduced order systems;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657101
