Discrete-time adaptive control for time-varying systems subject to unknown fast time-varying deterministic disturbances

The paper presents an adaptive control algorithm for unknown time-varying systems having purely deterministic time-varying disturbances. The algorithm is an extension of the author's earlier work on adaptive control of deterministic time-varying systems. It is shown that global convergence of the algorithm depends on the observability of a time-varying system. Simulation results are also given to illustrate the ability of this algorithm in tracking both time-varying disturbances and parameters