Title :
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
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;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1657233
