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Optimum rate allocation in quantized control
Author(s) -
Meadow Charles J.,
Fischer Thomas R.,
Gibson Jerry D.
Publication year - 1986
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660070405
Subject(s) - linear quadratic gaussian control , quadratic equation , control theory (sociology) , computer science , entropy (arrow of time) , communications system , quantization (signal processing) , basis (linear algebra) , gaussian , power control , mathematical optimization , control (management) , mathematics , optimal control , power (physics) , algorithm , telecommunications , artificial intelligence , physics , geometry , quantum mechanics
A linear‐quadratic‐Gaussian (LQG) delocalized control problem is formulated to require both specification of a control law and communication of measurements to controller and controls to plant. Efficient communication requires quantization of both measurement and control signals. The basic design problem is to allocate in an optimum fashion a fixed total communication rate to the measurement and control communication systems. A dynamic communication‐rate allocation algorithm is developed on the basis of prediction error and entropy power. As intuitively expected, the rate allocation depends on both the measurement and plant noise powers as well as the overall quadratic performance measure. Solely on the basis of entropy power considerations, a larger rate should be allocated for communication of measurements than for communication of controls.