Title
A spatial non-dynamic LQG controller: Part II, theory
Abstract
For part I see ibid., p.3326-32 (2004). Fundamental theory is derived for control of adaptive optics used in astronomical telescopes, and for possible other applications involving shape control, vibrations, and other spatial control problems in which the control system acts much faster than a fixed process, or the observable and controllable subspaces are both finite dimensional. The theory is developed from a feedforward rather than feedback viewpoint. The LQG separation into estimation followed by deterministic control is shown to hold even under non-dynamic and feedforward formulation. Then observable and controllable subspaces can be defined, which must hold for a fixed process even in the dynamic case. An example of a dynamic process (adaptive optics) is given in which observability and controllability can be used to reduce the state space to finite dimension. Corresponding costs are evaluated, and compared with any linear controller in both feedforward and feedback.
Year
DOI
Venue
2004
10.1109/CDC.2004.1428998
Decision and Control, 2004. CDC. 43rd IEEE Conference
Keywords
DocType
Volume
adaptive optics,astronomical telescopes,controllability,feedforward,linear quadratic control,multidimensional systems,observability,lqg separation,deterministic control,dynamic process,feedforward theory,finite dimensional subspaces,observable controllable subspaces,shape control,spatial control problems,spatial nondynamic lqg controller,control system,state space
Conference
3
ISSN
ISBN
Citations 
0191-2216
0-7803-8682-5
3
PageRank 
References 
Authors
0.87
0
3
Name
Order
Citations
PageRank
Wiberg, D.M.130.87
Max, C.E.230.87
Gavel, D.T.330.87