Damped Gauss-Newton method for direct stable inversion of continuous-time nonlinear systems

Author

Taylor, David G. ; Li, Song

Author_Institution

Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

1

fYear

2003

fDate

2-6 Nov. 2003

Firstpage

606

Abstract

Existing numerical methods for stable inversion require the formulation and use of the system´s inverse dynamics for implementation purposes. This paper introduces a new numerical method for stable inversion that is directly implementable using only the system´s state and output equations. In addition to this practical benefit, the proposed direct stable inversion method is globally convergent and its local rate of convergence is quadratic. An example is used to compare the proposed direct method to existing indirect methods.

Keywords

Newton method; continuous time systems; convergence of numerical methods; finite difference methods; nonlinear control systems; sparse matrices; continuous time nonlinear systems; convergence; damped Gauss-Newton method; direct stable inversion; finite difference method; numerical method; sparse matrix technique; systems output equation; systems state equation; Convergence; Equations; Finite difference methods; Inverse problems; Least squares methods; Newton method; Nonlinear dynamical systems; Nonlinear systems; Recursive estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics Society, 2003. IECON '03. The 29th Annual Conference of the IEEE

Print_ISBN

0-7803-7906-3

Type

conf

DOI

10.1109/IECON.2003.1280049

Filename

1280049