This paper explicates a new method of designing a preview controller for a class of continuous-time systems. The augmented error\nsystem is constructed by the error system with the derivative of the tracking error signal, the state equation, and an identical equation\nof the derivative of the control input, which transforms a tracking problem into a regulation problem. Therefore, in the paper, the\nperformance index contains the derivative of the control input. Based on the theory of optimal control, the regulator problem of the\naugmented error system is solved.Thus, the controller with preview compensation for the original system is deduced.The response\nspeed of the closed-loop system is accelerated by the previewed demand output. A final numerical example is given to illustrate the\nvalidity of the proposed method.
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