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In this brief, the transient performance of the signal transformation approach (STA) is considerably enhanced by initializing the state vector of the compensator to appropriate values. For triangular reference tracking, it is shown that the proposed method is identical to the impulsive state multiplication (ISM) approach. Through simulations and experiments, we also show that the proposed method can be equally applied to improve the STA for arbitrarily shaped desired signals, where ISM is not applicable. Tracking efficacy of the proposed method compared with that of an ordinary feedback loop with a similar noise rejection performance is also demonstrated.