Preview tracking for discrete-time SISO systems

Abstract

The preview tracking problem, that is, the problem of tracking a reference input when a window of its future values is known, is considered. This is done by showing how the set of all admissible regulated outputs of a system is modified when preview is incorporated. This allows the mechanism by which preview allows performance improvement to be seen more clearly . It also allows preview control systems to be designed using the powerful optimization techniques available for this framework. To exemplify this, some analytical results for the minimum l/sub 1/, l/sub 2/ and l/sub /spl infin// norms of the tracking error in response to a step reference are derived for a simple system with preview. A worked example of some optimal compensator designs is also presented.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>