In this paper, a new deconvolution estimator design method is proposed to solve the problems caused by unknown input for a discrete time-varying linear system (DTVLS). These problems arise in cases of image restoration or geological exploration. Our proposed method modifies the state estimate error x(k)-x(k) of traditional performance measures to the input estimate error u(k)-u(k) to develop a deconvolution estimator via game theory in an H∞ setting. In this paper, unknown input is estimated using noisy measurements, and statistical information about the process and measurement noises is not necessarily required in an H∞ setting. The new deconvolution estimator yields an estimated input that is close to the actual input and that leads to improvements in terms of MSE and PSNR for performance. © 2010 Elsevier B.V. All rights reserved.
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