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Adaptive filter for a linear time-varying system with a high-order estimator

Adaptive filter for a linear time-varying system with a high-order estimator

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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 σ-modification and show the sufficient condition for stability. Since the robust HOE can estimate the differential of any degree, thetaŝ(ρ)(t) from a parameter thetaŝ(t) directly, the number of control parameters does not increase, and all parameter vectors thetaŝ(ρ)(t) can converge to an unknown vector thetas(ρ)(t) in the case of thetaŝ(t)−thetas(t)=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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