In the paper, a novel adaptive filter design for a linear time-varying system is proposed. The authors introduce a robust height order estimation (HOE) to which they apply the HOE for a linear time-invariant (LTI) system by using er-modification and show the sufficient condition for stability. Since the robust HOE can estimate the differential of any degree, 6(p\f) from a parameter 6(t) directly, the number of control parameters does not increase, and all parameter vectors 0((i)(i) can converge to an unknown vector tfp\t) in the case of 0(t) -0(f) -0. Furthermore, the proposed algorithm does not require the structure of unknown parameters. Finally, the system is compared to the conventional method by numerical simulation and the effectiveness is demonstrated.
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