Achievable behavior by composition


Schaft, A.J. van der and Julius, A.A. (2002) Achievable behavior by composition. In: 41st IEEE Conference on Decision and Control, 10-13 December 2002, Las Vegas, Nevada, USA (pp. pp. 7-12).

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Abstract:A fundamental question in systems and control theory concerns the characterization of the set of achievable closed-loop systems for a given plant system and a controller system to be designed. This problem, for example, shows up in assessing the "limits of performance" of a controlled system. Similar problems have been studied by researchers in automata theory and discrete event systems replacing the notion of closed-loop system by the composition of a given system and its controller. In this paper this problem is addressed in a general behavioral context. Necessary and often sufficient conditions for a behavior to be achievable are given, and for any achievable behavior a canonical controller is defined. These results generalize previously obtained results obtained for finite-dimensional linear systems. Next these general results are applied to classes of automata and hybrid systems.
Item Type:Conference or Workshop Item
Copyright:© 2002 IEEE
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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