A Pseudospectral Observer for Nonlinear Systems
Abstract
In this paper, we present an observer design method for nonlinear
systems based on pseudospectral discretizations and a moving horizon strat-
egy. The observer has a low computational burden, a fast convergence rate
and the ability to handle measurement noise. In addition to ordinary differ-
ential equations, our observer is applicable to nonlinear systems governed by
deferential-algebraic equations (DAE), which are considered very difficult to
deal with by other designs such as Kalman filters. The performance of the pro-
posed observer is demonstrated by several numerical experiments on a time-
varying chaotic nonlinear system with unknown parameters and a nonlinear
circuit with a singularity-induced bifurcation.
Collections
Related items
Showing items related by title, author, creator and subject.
-
A Pseudospectral Observer for Nonlinear Systems
Gong, Qi; Ross, I. Michael; Kang, Wei (The American Institute of Aeronautics and Astronautics (AIAA), 2005-08-15);We present a method for designing an observer for nonlinear systems based on Pseudospectral discretization and a moving horizon strategy. The observer has a low computational burden, fast convergence rate and an ability ... -
Locally convergent nonlinear observers
Krener, Arthur J.; Kang, Wei (2003);We introduce a new method for the design of observers for nonlinear systems using backstepping. The method is applicable to a class of nonlinear systems slighter larger than those treated by Gauthier, Hammouri, and Othman ... -
A Unified Pseudospectral Framework for Nonlinear Controller and Observer Design
Gong, Qi; Ross, I. Michael; Kang, Wei (American Control Conference, 2007-07-11);As a result of significant progress in pseudospectral methods for real-time dynamic optimization, it has become apparent in recent years that it is possible to present a unified framework for both controller and observer ...