Global asymptotic stabilization of nonminimum phase nonlinear systems via extended backstepping

Author

Onishi, Norio ; Yamashita, Yuh ; Nishitani, Hirokazu

Author_Institution

Dept. of Electron. & Control Eng., Tsuyama Nat. Coll. of Technol., Okayama, Japan

Volume

4

fYear

2002

fDate

5-7 Aug. 2002

Firstpage

2249

Abstract

We address the problem of global asymptotic stabilization for a single-input single-output nonlinear system that may not be minimum phase. To solve this problem, we introduce a set of invariant manifolds which have hierarchical structure. We transform the plant repeatedly by using this set of invariant manifolds. Under the linear growth condition and some additional assumptions, global asymptotic stabilization is achieved by applying a variable-gain state feedback law to the obtained system.

Keywords

asymptotic stability; closed loop systems; invariance; nonlinear control systems; state feedback; extended backstepping; global asymptotic stabilization; hierarchical structure; invariant manifolds; linear growth condition; nonminimum phase nonlinear systems; single-input single-output system; variable-gain state feedback law; Backstepping; Differential equations; Educational institutions; Information science; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Partial differential equations; Stability; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE 2002. Proceedings of the 41st SICE Annual Conference

Print_ISBN

0-7803-7631-5

Type

conf

DOI

10.1109/SICE.2002.1195750

Filename

1195750