Abstract
This note tackles the design problem of H∞ preview feedforward controllers for discrete-time Linear Time-Invariant (LTI) polytopic systems under the condition that prior external signals are measurable online and can be exploited as the input to the preview feedforward controllers. It is supposed that the prior external input information is given with proportional uncertainties. A design method using Generalized KYP (GKYP) lemma is proposed for the problem in terms of quadratically parameter-dependent Linear Matrix Inequality (LMI), and a tractable parametrically affine condition to solve the LMI is also given. The effectiveness of the proposed method is illustrated by an academic example.
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