A Pseudospectral Observer for Nonlinear Systems
Ross, I. Michael
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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.
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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 ...
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 ...
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 ...