Improvement of parametric stability margin under pole assignment

Author

Hu, Tingshu ; Lam, James

Author_Institution

Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA

Volume

44

Issue

10

fYear

1999

fDate

10/1/1999 12:00:00 AM

Firstpage

1938

Lastpage

1942

Abstract

The improvement of the parametric stability margin of state space uncertain systems via a maximization formulation under the constraints of pole assignment is investigated. The class of systems considered is where the uncertainty may be modeled as the, possibly nonlinear, variation of a parameter appearing in the entries of the system and input matrices. The continuity and differentiability properties of the stability margin are discussed. A gradient-based approach is presented for the improvement of the stability margin and a compact formula to compute the gradient is provided. Numerical examples are used to demonstrate the effectiveness of the approach

Keywords

gradient methods; matrix algebra; pole assignment; robust control; state-space methods; uncertain systems; continuity properties; differentiability properties; parametric stability margin; pole assignment; state space uncertain systems; Automatic control; Control system analysis; Control systems; Difference equations; Eigenvalues and eigenfunctions; Joining processes; Perturbation methods; Regulators; Stability; Upper bound;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.793781

Filename

793781