Ring pole assignment and variance-constrained synthetical control for random constant system

Author

Guowan Zhang

Author_Institution

Basic Courses Dept., Lanzhou Polytech. Coll., Lanzhou, China

fYear

2011

fDate

19-22 Aug. 2011

Firstpage

2584

Lastpage

2587

Abstract

By using the Moore-Penrose inverse and the singular value decomposition theory, in this paper, the author designed controllers make the eigenvalues of the closed -loop system located in a ring of the unit circle, and the variance of each steady state compose to the given constraint. And author derives the existing sufficient and necessary conditions and the expression of solution by a modified algebraic Lyapunov matrix equation. The corresponding numerical example explains this method designed in practical engineering control system possible.

Keywords

Lyapunov matrix equations; closed loop systems; control system synthesis; eigenvalues and eigenfunctions; singular value decomposition; Moore-Penrose inverse; author designed controller; closed-loop system; modified algebraic Lyapunov matrix equation; practical engineering control system; random constant system; ring pole assignment; singular value decomposition theory; steady state variance; variance-constrained synthetical control; Covariance matrix; Equations; Linear matrix inequalities; Matrices; State feedback; Steady-state; Symmetric matrices; Feedback Controllers; Lyapunov Equation; Random constant system; The Moore-Penrose inverse;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on

Conference_Location

Jilin

Print_ISBN

978-1-61284-719-1

Type

conf

DOI

10.1109/MEC.2011.6026021

Filename

6026021