Pole placement by performance criterion modification

Author

Paul, Prasun K. ; Sawan, M.E.

Author_Institution

Dept. of Electr. Eng., Wichita State Univ., KS, USA

fYear

1989

fDate

14-16 Aug 1989

Firstpage

128

Abstract

A procedure in which a state weighting matrix was modified by introducing a degree of relative stability to relocate the optimal closed-loop eigenvalues of continuous time system was recently presented. This procedure is adapted to relocate the optimal poles to any desired location of a discrete time system. A sequential procedure to relocate the optimal eigenvalues to desired positions by proper modification in performance criterion is developed. The optimal solution of the resulting LQ problem determines the optimal gain, and the closed-loop system attains the desired spectrum. Thus, the desired properties of the Linear Quadratic (LQ) solution are retained, while placing the closed-loop system poles

Keywords

closed loop systems; discrete time systems; eigenvalues and eigenfunctions; poles and zeros; stability; LQ problem; Linear Quadratic; continuous time system; discrete time system; optimal closed-loop eigenvalues; optimal gain; optimal poles; performance criterion; performance criterion modification; relative stability; sequential procedure; state weighting matrix; Closed loop systems; Continuous time systems; Cost function; Discrete time systems; Eigenvalues and eigenfunctions; Guidelines; Linear systems; Riccati equations; Stability; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on

Conference_Location

Champaign, IL

Type

conf

DOI

10.1109/MWSCAS.1989.101811

Filename

101811