Stabilising compensators for linear time-varying differential systems
نویسنده
چکیده
In this paper we describe a constructive test to decide whether a given linear time-varying (LTV) differential system admits a stabilizing compensator for the control tasks of tracking, disturbance rejection or model matching and construct and parametrize all of them if at least one exists. In analogy to the linear timeinvariant (LTI) case the ring of stable rational functions, noncommutative in the LTV situation, and the Kučera-Youla parametrization play prominent parts in the theory. We transfer Blumthaler’s thesis from the LTI to the LTV case and sharpen, complete and simplify the corresponding results in the book ’Linear Time-Varying Systems’ by Bourlès and Marinescu. AMS-classification: 93B52, 93D15, 93B25, 93C05, 93D20, 34H15 Key-words: behavior, time-varying, stabilizing compensator, tracking, disturbance rejection, model matching, exponential stability
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عنوان ژورنال:
- Int. J. Control
دوره 89 شماره
صفحات -
تاریخ انتشار 2016