H_∞ repetitive control of linear systems based on Two-Dimensional model
by Yong-Hong Lan, Min Wu, Jin-Hua She
International Journal of Computing Science and Mathematics (IJCSM), Vol. 2, No. 3, 2009

Abstract: This paper concerns with the H_∞ repetitive control of linear system based on Two-Dimensional (2D) system theory. First, a 2D model is established to describe the control behaviour within a repetition period and the learning process between periods. Next, the problem of designing an H_∞ repetitive control law is formulated as an H_∞ state-feedback design problem for the 2D model. A new existence condition and method of designing an H_∞ state-feedback control law for the 2D model is presented. Moreover, this idea is extended to solve the problem of H_∞ repetitive control law for linear system. Finally, a numerical example was presented to illustrate the effectiveness of the presented method.

Online publication date: Thu, 13-Aug-2009

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