Abstract

It is well-known that for linear time-invariant systems, the cheap control quadratic tracking error for step reference trackings has a value proportional to the reciprocal of the open loop non-minimum-phase zeros. We extend the result to linear finite dimensional time-varying operators. It is shown a particular cost function that is closely related to the cheap control quadratic tracking error cost has a value proportional to the reciprocal of the time-varying analogue of non- minimum-phase zeroes.

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