Controller Redesign via Sum of Squares Programming

Author

Fujisaki, Yasumasa ; Miyoshi, Eri

Author_Institution

Dept. of Comput. & Syst. Eng., Kobe Univ.

fYear

2006

Firstpage

4012

Lastpage

4015

Abstract

A controller redesign is considered for a class of nonlinear plants. A locally stabilizing state feedback and the corresponding Lyapunov function are assumed to be given. Then, the Lyapunov function is fixed for ensuring a performance, while the state feedback is redesigned for enlarging the asymptotic stability region of the origin. This redesign can be done efficiently by using sum of squares programming if the plant and the controller are characterized by polynomial functions of the state and/or the control input

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; nonlinear control systems; polynomials; state feedback; Lyapunov function; asymptotic stability region; controller redesign; nonlinear plants; polynomial functions; square programming; state feedback; Asymptotic stability; Control systems; Feedback control; Functional programming; Iterative algorithms; Lyapunov method; Nonlinear control systems; Polynomials; State feedback; Systems engineering and theory; Controller redesign; Lyapunov function; asymptotic stability region; semidefinite programming; sum of squares of polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE-ICASE, 2006. International Joint Conference

Conference_Location

Busan

Print_ISBN

89-950038-4-7

Electronic_ISBN

89-950038-5-5

Type

conf

DOI

10.1109/SICE.2006.314999

Filename

4108209