Optimal pole placement in a vertical strip

Author

Arar, A.S. ; Sawan, M.E. ; Rob, R.A.

Author_Institution

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

fYear

1993

fDate

16-18 Aug 1993

Firstpage

653

Abstract

A recursive method for determining the state weighting matrix of a linear quadratic regulator problem in order to shift the open loop poles inside a vertical strip is presented. This method is capable of shifting the real and imaginary parts for continuous time systems. Aggregation is used in each step of the recursive process. Therefore each time the order of the system is reduced to first or second order. A constrained minimization problem with linear and nonlinear constraints has to be solved in order to find the state weighting matrix of the reduced order system that will shift the open loop poles inside the vertical strip

Keywords

continuous time systems; linear quadratic control; linear systems; multivariable control systems; pole assignment; recursive estimation; constrained minimization problem; continuous time systems; feedback; linear constraints; linear multivariable system; linear quadratic regulator problem; nonlinear constraints; open loop poles; optimal pole placement; recursive method; state weighting matrix; vertical strip; Continuous time systems; Eigenvalues and eigenfunctions; Open loop systems; Performance analysis; Reduced order systems; Regulators; Riccati equations; State feedback; Strips; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1993., Proceedings of the 36th Midwest Symposium on

Conference_Location

Detroit, MI

Print_ISBN

0-7803-1760-2

Type

conf

DOI

10.1109/MWSCAS.1993.342962

Filename

342962