A direct adaptive tracking control architecture is proposed for a class of
continuous-time nonlinear dynamic systems, for which an explicit linear par
ameterization of the uncertainty in the dynamics is either unknown or impos
sible. The architecture employs fuzzy systems to approximate the optimal co
ntroller which is designed on the assumption that all the dynamics in the s
ystem are known, develops fuzzy sliding controller to compensate for the pl
ant uncertainties, smooth the control signals and increase robustness. Glob
al asymptotic stability is established in the Lyapunov sense, with the trac
king errors converging to a neighborhood of zero. The simulation results ve
rify the effectiveness of the proposed control algorithm. (C) 1999 Elsevier
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