Synthesis of linear time-varying non-minimum-phase systems with plant uncertainty†

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Abstract
The key element in a synthesis technique for uncertain linear time-varying systems, is the replacement of the linear time-varying plant set by an equivalent linear time-invariant plant set. Conditions under which the latter set must be so set up as to include non-minimum phase elements are presented. It is shown how to obtain the equivalent right half-plane zeros, which are sometimes accompanied by right half-plane poles. The synthesis technique previously usable only for uncertain ‘ minimum-phase ’ linear time-varying systems is extended to handle ‘ effectively non-minimum-phase ’ uncertain linear time-varying systems.

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