Asymptotic orders of reachability in perturbed linear systems

Author

özveren, Cuneyt M. ; Verghese, George C. ; Willsky, Alan S.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA

Volume

33

Issue

10

fYear

1988

Firstpage

915

Lastpage

923

Abstract

A framework for studying asymptotic orders of reachability in perturbed linear, time-invariant systems is developed. The systems of interest are defined by matrices that have asymptotic expansions in powers of a perturbation parameter epsilon about the point 0. The reachability structure is exposed by means of the Smith form of the reachability matrix. This approach is used to provide insight into the kinds of inputs needed to reach weakly reachable target states, into the structure of high-gain feedback for pole placement, and into the types of inputs that steer trajectories arbitrarily close to almost (A,B)-invariant subspaces and almost (A,B)-controllability subspaces.<>

Keywords

controllability; linear systems; perturbation techniques; poles and zeros; asymptotic orders; controllability subspaces; invariant subspaces; perturbation parameter; perturbed linear systems; pole placement; reachability; time-invariant systems; trajectories; Control systems; Eigenvalues and eigenfunctions; Laboratories; Linear systems; State feedback; State-space methods; Trajectory;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.7245

Filename

7245