Abstract
This paper deals with the tracking control problem of a general class of nonholonomic dynamic systems with reference signals that may exponentially decay. By introducing a time-varying coordinate transformation and using the cascaded-design approach, smooth time-varying controllers are constructed, which render the tracking error dynamics globally -exponentially stable. The result shows that the persistent-excitation condition or not coverging to zero for reference signals is not necessary even for the globally -exponential tracking of nonholonomic systems. The proposed method is applied to the tracking control of an underactuated surface vessel.
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