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Optimality of decentralized control for large-scale systems. (English) Zbl 0646.93004
Summary: A decentralized control scheme is given for the stabilization of large- scale systems composed of a number of controllable subsystems. A class of interconnection structures among subsystems is defined for which the overall system can always be stabilized by local state feedback which is optimal for a quadratic performance index. The resulting closed-loop system has robust stability properties against a wide range of variations in open-loop dynamics. Optimality of the decentralized control law is preserved for a modified performance index under perturbations in interconnections such that the strength of coupling does not increase. The class of decentrally stabilizable large-scale systems presented in this paper is the largest such class hitherto described by the structure of interconnections.

MSC:
93A15 Large-scale systems
93B35 Sensitivity (robustness)
93D15 Stabilization of systems by feedback
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