A duality-based LPV approach to polynomial state feedback design

Author

Ebenbauer, Christian ; Raff, Tobias ; Allgöwer, Frank

Author_Institution

Inst. for Syst. Theor. in Eng., Stuttgart Univ., Germany

fYear

2005

fDate

8-10 June 2005

Firstpage

703

Abstract

In this paper, a state feedback design for the class of polynomial control systems is proposed. The proposed design solves the stabilization problem by considering polynomial control systems as linear parameter varying (LPV) control systems. With the help of duality theory and the sum of squares decomposition, a stabilizing state feedback can be computed efficiently, if a certain semidefinite program is feasible. The main advantages of the proposed state feedback design are that no special requirements on the system structure are imposed and that the results are of global nature.

Keywords

control system synthesis; nonlinear control systems; stability; state feedback; LPV control system; duality theory; linear parameter-varying approach; polynomial control systems; polynomial state feedback design; squares sum decomposition; stabilization; Control system analysis; Control systems; Design engineering; Linear feedback control systems; Lyapunov method; Nonlinear control systems; Passivation; Polynomials; State feedback; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2005. Proceedings of the 2005

ISSN

0743-1619

Print_ISBN

0-7803-9098-9

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2005.1470040

Filename

1470040