Simultaneous Squaring Down and Zeros Cancellation in Linear Systems

Author

Flutur, Cristian ; Oara, Cristian

Author_Institution

Fac. of Autom. Control & Comput., Politeh. Univ. of Bucharest, Bucharest, Romania

fYear

2015

fDate

27-29 May 2015

Firstpage

915

Lastpage

922

Abstract

The problem of simultaneously squaring down and cancelling a specified part of the zeros of a completely general linear system by an invertible transformation is investigated from different standpoints. Various classes of solutions featuring minimal McMillan degree, unitary or J-inner symmetry, either with respect to the imaginary axis or the unit circle are characterized in a realisation-based setting. Several applications in control systems including the problems of squaring down with dynamical zeros allocation or the sub optimal H^∞ control are indicated.

Keywords

H^∞ control; linear systems; poles and zeros; J-inner symmetry; completely general linear system; dynamical zeros allocation; imaginary axis; invertible transformation; minimal McMillan degree; simultaneous squaring down cancellation; simultaneous squaring zeros cancellation; sub optimal H^∞ control; unit circle; unitary symmetry; Control systems; Eigenvalues and eigenfunctions; Linear systems; Null space; Periodic structures; Poles and zeros; Polynomials; Algebraic Riccati systems; Centered realisation; General linear system; Minimal indices dislocation; Zero cancellation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Systems and Computer Science (CSCS), 2015 20th International Conference on

Conference_Location

Bucharest

Print_ISBN

978-1-4799-1779-2

Type

conf

DOI

10.1109/CSCS.2015.9

Filename

7168535