A differential vector space approach to nonlinear system regulation

Author

Zheng, Yufan ; Zhang, Cishen ; Evans, Robin J.

Author_Institution

Inst. of Syst. Sci., East China Normal Univ., Shanghai, China

Volume

45

Issue

11

fYear

2000

fDate

11/1/2000 12:00:00 AM

Firstpage

1997

Lastpage

2010

Abstract

Nonlinear system regulation is an active research area and is important for disturbance rejection and reference signal tracking. Existing results using differential geometry or Lyapunov theory are restricted to bounded exogenous signals. The paper uses a differential vector space approach to develop solutions for nonlinear system regulation with both bounded and unbounded exogenous signals. The solutions are given in terms of observable dual state spaces in the differential vector space of the system and are well suited to symbolic and numerical computation.

Keywords

asymptotic stability; closed loop systems; control system synthesis; nonlinear control systems; observability; state feedback; vectors; bounded exogenous signals; differential vector space approach; disturbance rejection; nonlinear system regulation; observable dual state spaces; reference signal tracking; unbounded exogenous signals; Control systems; Geometry; Linear algebra; Linear systems; Nonlinear systems; Observability; State feedback; State-space methods; Sufficient conditions; Vectors;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.887623

Filename

887623