Quasi-linear eigenstructure assignment — A case study

Author

Guang-Ren Duan

Author_Institution

Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin, China

fYear

2014

fDate

28-30 July 2014

Firstpage

182

Lastpage

187

Abstract

In this paper, the type of two dimensional affine nonlinear system which is treated by Erdem and Alleyne (IEEE Trans. Control Systems Technology, 2004) is further generalized and investigated. It is first shown that this type of systems are very general affine nonlinear systems, and then control of this type of systems is considered with the quasi-linear eigenstructure assignment approach. As a result, the proposed controller is simpler and the closed-loop system is a linear one with constant eigenvector matrices, hence global asymptotical stability of the closed-loop system is ensured.

Keywords

asymptotic stability; closed loop systems; eigenvalues and eigenfunctions; multidimensional systems; nonlinear control systems; closed-loop system; constant eigenvector matrices; general affine nonlinear systems; global asymptotical stability; quasilinear eigenstructure assignment; two dimensional affine nonlinear system; Asymptotic stability; Closed loop systems; Equations; Nonlinear systems; Stability criteria; Vectors; Affine nonlinear systems; eigenvector matrices; global asymptomatic stability; quasi-linear eigenstructure assignment; right coprime factorization;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Automation (ICIA), 2014 IEEE International Conference on

Conference_Location

Hailar

Type

conf

DOI

10.1109/ICInfA.2014.6932649

Filename

6932649