An SOS-QE approach to nonlinear gain analysis

Author

Ichihara, Hiroyuki ; Anai, Hirokazu

Author_Institution

Sch. of Sci. & Technol., Meiji Univ., Kawasaki, Japan

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

7152

Lastpage

7157

Abstract

A hybrid computational method between sum of squares (SOS) and quantifier elimination (QE) is discussed for a problem of nonlinear gain analysis. A computational procedure is proposed to be applied to nonlinear polynomial systems. The procedure takes two major parts: the first part is searching a structure in the gain functions while the second part reveals all the gain functions in the structure. These tasks are assigned to the SOS and QE approaches, respectively. In order to find an accurate system performance, the gain functions are optimized in the procedure. The proposed analysis procedure is illustrated for a few systems.

Keywords

nonlinear control systems; optimisation; polynomials; SOS-QE approach; computational procedure; gain function optimization; hybrid computational method; nonlinear gain analysis; nonlinear polynomial system; quantifier elimination method; sum of squares method; Asymptotic stability; Educational institutions; Interconnected systems; Numerical stability; Optimization; Polynomials; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6161036

Filename

6161036