Hybrid Newton observer design using the inexact Newton method and GMRES

Author

Biyik, Emrah ; Arcak, Murat

Author_Institution

Dept. of Electr., Comput., & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY

fYear

2006

fDate

14-16 June 2006

Abstract

We study the Newton observer design, developed by Moraal and Grizzle (1995), when the exact discrete-time model of the sampled-data system is not available analytically. The hybrid reconstruction of the Newton observer in (Arcak, 2006) eliminates the dependence on this exact discrete-time model by numerical integration and finite difference Jacobian approximations. This paper reduces the computational cost of (Arcak, 2006) using an inexact Newton method and the generalized minimum residuals (GM-RES) algorithm. It then studies how a line search scheme can be incorporated in this modified Newton observer to enlarge the region of convergence

Keywords

Newton method; convergence of numerical methods; finite difference methods; observers; GMRES; convergence region; discrete-time model; finite difference Jacobian approximations; generalized minimum residuals algorithm; inexact Newton method; line search scheme can; sampled-data system; Computational efficiency; Convergence; Design engineering; Filters; Finite difference methods; Iterative algorithms; Jacobian matrices; Newton method; Observability; Sampling methods;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1657233

Filename

1657233