Design of sliding-mode observers and filters for nonlinear dynamic systems

Author

Alessandri, A.

Author_Institution

Naval Autom. Inst., CNR, Genova, Italy

Volume

3

fYear

2000

fDate

2000

Firstpage

2593

Abstract

The problem of state estimation for a class of nonlinear systems with Lipschitz nonlinearities is addressed using sliding-mode estimators. Stability conditions have been found to guarantee convergence if no noise affects the system and the channel equations, and there is non-divergence in the presence of additive bounded disturbances. The design of such estimators is based on the solution of an algebraic Riccati equation that is difficult to solve. A method is presented in order to find a suitable solution that optimizes the performance. Successful simulations have been performed to illustrate the effectiveness of the proposed design method

Keywords

Riccati equations; convergence; filtering theory; matrix algebra; nonlinear dynamical systems; observers; stability criteria; variable structure systems; Lipschitz nonlinearities; additive bounded disturbances; algebraic Riccati equation; design method; performance optimisation; sliding-mode estimators; sliding-mode observers; state estimation; Additive noise; Filters; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Observers; Optimization methods; Riccati equations; Stability; State estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2000.914194

Filename

914194