Further results on adaptive robust state observers of a class of dynamical systems with nonlinear uncertainties and external disturbances

摘要

The problem of adaptive robust observer design is considered for a class of nonlinear systems with completely unknown nonlinear uncertainties and external disturbances. It is assumed that the external disturbances are continuous and have unknown upper bounds, and that the completely unknown nonlinear uncertainty can be approximated by neural networks or fuzzy logic. Particularly, in the actual observation process, approximation will not be used. For such a class of uncertain dynamical systems, a new adaptive robust state observer with a rather simpler structure is proposed. It is shown that the observation error between the state estimate and the true state can be guaranteed to converge asymptotically to zero. Finally, as a numerical example, a Chua circuit is given to demonstrate the validity of the results. (c) 2017 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.