Title :
Design of sliding-mode observers and filters for nonlinear dynamic systems
Author_Institution :
Naval Autom. Inst., CNR, Genova, Italy
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;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914194