An iterative algorithm for pole placement by output feedback

Author

Lee, T.H. ; Wang, Q.-G. ; Koh, E.K.

Author_Institution

Dept. of Electr. Eng., Nat. Univ. of Singapore, Singapore

Volume

39

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

565

Lastpage

568

Abstract

An iterative algorithm is proposed for solving the pole assignment by output feedback problem for an nth-order l-input m-output linear system. The algorithm uses a full rank feedback gain matrix and requires only linear equations of low dimension to be solved at each iteration. Application of the proposed algorithm allows all n closed-loop poles to be almost exactly assigned provided that the iterations converge so that deviations of the resulting closed-loop poles from the respective desired values become less than some user-specified tolerance, and m×t⩾n. Examples are provided to illustrate the applicability of the proposed method

Keywords

closed loop systems; control system analysis; feedback; iterative methods; linear systems; matrix algebra; poles and zeros; SIMO linear system; closed-loop poles; feedback gain matrix; iterative algorithm; linear equations; output feedback; pole assignment; pole placement; Differential equations; Iterative algorithms; Nonlinear dynamical systems; Output feedback; Stability criteria; State feedback; Stochastic processes; Stochastic resonance; Stochastic systems; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.280760

Filename

280760