Abstract
This paper studies the adaptive control problem of a linear time-varying system with bounded disturbances. It is assumed that the system is uniformly controllable with known orders, and that the system parameters are varying asymptotically slowly in the mean within a bounded set. Explicit knowledge of the bounded set is not required, and neither is the stability nor the minimum phase condition for the open loop plant. The work adopts the self-excitation and identification-stabilization time-splitting approaches, and uses a special design of monotonically increasing normalization factor in the estimation algorithm. It is shown that the closed loop signals are uniformly bounded as well for sufficiently small parameter variations.
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