Robust adaptive regulation of linear time-varying systems

Given reference signals generated by a stable, linear time-invariant exosystem, to be tracked by the output, the problem of robust adaptive regulation by output feedback is addressed for single-input, single-output linear systems with unknown time-varying parameters and unmodeled bounded additive disturbances. Without requiring parameters or disturbances to be slowly varying or to have known bounds, a robust adaptive regulator is designed that ensures boundedness of closed-loop signals and arbitrarily improved transient performance for the regulation error. Asymptotic regulation is achieved when parameters belong to a compact set determined by the controller parameters' time derivatives are L/sub 1//spl cap/L/sub /spl infin//, and disturbances and parameter variations from unknown constant nominal values are L/sub 2//spl cap/L/sub /spl infin//.