B. Yao et L. Xu, Observer-based adaptive robust control of a class of nonlinear systems with dynamic uncertainties, INT J ROBUS, 11(4), 2001, pp. 335-356
Citations number
28
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
In this paper, a discontinuous projection-based adaptive robust control (AR
C) scheme is constructed for a class of nonlinear systems in an extended se
mi-strict feedback form by incorporating a nonlinear observer and a dynamic
normalization signal. The form allows for parametric uncertainties, uncert
ain nonlinearities, and dynamic uncertainties. The unmeasured states associ
ated with the dynamic uncertainties are assumed to enter the system equatio
ns in an affine fashion. A novel nonlinear observer is first constructed to
estimate the unmeasured states for a less conservative design. Estimation
errors of dynamic uncertainties, as well as other model uncertainties, are
dealt with effectively via certain robust feedback control terms for a guar
anteed robust performance. In contrast with existing conservative robust ad
aptive control schemes, the proposed ARC method makes full use of the avail
able structural information on the unmeasured state dynamics and the prior
knowledge on the bounds of parameter variations for high performance. The r
esulting ARC controller achieves a prescribed output tracking transient per
formance and final tracking accuracy in the sense that the upper bound on t
he absolute value of the output tracking error over entire time-history is
given and related to certain controller design parameters in a known form.
Furthermore, in the absence of uncertain nonlinearities, asymptotic output
tracking is also achieved. Copyright (C) 2001 John Wiley & Sons, Ltd.