Title :
Invariant subspaces for LPV systems and their applications
Author :
Balas, Gary ; Bokor, József ; Szabó, Zoltán
Author_Institution :
Dept. of Aerosp. Eng. & Mech., Univ. of Minnesota, Minneapolis, MN, USA
Abstract :
The aim of this paper is to extend the notion of invariant subspaces known in the geometric control theory of the linear time invariant systems to the linear parameter-varying (LPV) systems by introducing the concept of parameter-varying invariant subspaces. For LPV systems affine in their parameters, algorithms are given to compute many parameter varying subspaces relevant in the solution of state feedback and observer design problems.
Keywords :
controllability; linear systems; observability; robust control; state feedback; time-varying systems; LPV systems; geometric control theory; input affine systems; invariant subspaces; linear parameter-varying systems; linear time invariant systems; observer design problems; state feedback; Aerospace control; Algorithm design and analysis; Control theory; Dynamic scheduling; NASA; Nonlinear systems; Robust control; State feedback; Time invariant systems; Vehicles;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.819647
