The initial motivation of the lifting technique is to solve the H∞ control problems.However, the conventional weighted H∞ design does not meet the conditions required by lifting, so the result often leads to a misjudgement of the design. Two conditions required by using the lifting technique are presented based on the basic formulae of the lifting. It is pointed out that only the H∞ disturbance attenuation problem with no weighting functions can meet these conditions, hence,the application of the lifting technique is quite limited.
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