Pole placement by performance criterion modification

Author

Medanic, J. ; Tharp, H.S. ; Perkins, W.R.

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA

Volume

33

Issue

5

fYear

1988

fDate

5/1/1988 12:00:00 AM

Firstpage

469

Lastpage

472

Abstract

A procedure is presented that modifies the state weighting matrix Q and introduces a degree of relative stability into the original performance criterion to shape the resulting optimal dynamics by positioning the closed-loop eigenvalues along the real axis of the optimal system in the linear-quadratic regulator problem. It is based on the results of the algebraic Riccati equation (ARE) which establish the invariance of certain eigenspaces of the associated Hamiltonian matrix with respect to certain perturbations of Q and the degree of relative stability

Keywords

closed loop systems; eigenvalues and eigenfunctions; matrix algebra; optimal control; poles and zeros; stability; Hamiltonian matrix; algebraic Riccati equation; closed-loop eigenvalues; eigenspaces; invariance; linear-quadratic regulator; optimal control; performance criterion; perturbations; pole placement; stability; state weighting matrix; Eigenvalues and eigenfunctions; Guidelines; Matrix decomposition; Optimal control; Regulators; Riccati equations; Robust control; Stability criteria; State feedback; Symmetric matrices;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.1229

Filename

1229