Abstract
ABSTRACT This paper considers the problem of preview tracking control for linear discrete-time periodic systems subject to previewable reference and disturbance signals. First, the difference operator approach is introduced to derive an augmented error system that includes future information on the previewable signals. As a result, the problem of preview tracking control of the original system is transformed into a stabilisation problem via a periodic static output feedback. Second, sufficient conditions that guarantee the closed-loop stability of the augmented error systems are derived, and meanwhile, the design of a periodic controller with preview actions is proposed through the linear matrix inequalities approach. Finally, a numerical simulation example is presented to illustrates the effectiveness of the proposed method.
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