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Linear programming based optimal dynamic quantizer synthesis for discrete-valued input control

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2 Author(s)
Shun-ichi Azuma ; Kyoto University, Gokasho, Uji, 611-0011, Japan ; Toshiharu Sugie

This paper presents an optimal dynamic quantizer synthesis for controlling linear systems with the discrete-valued input. The quantizers considered here are in the form of a difference equation, for which we find quantizer parameters such that the system composed of a given linear plant and the quantizer is an optimal approximation of the linear plant in terms of the input-output relation. First, the performance of the dynamic quantizers is analyzed, and then a closed form expression of the performance is derived. Next, in spite of the nonconvexity of the design problem, a globally optimal solution is provided via linear programming. Finally, the validity of the proposed method is demonstrated by numerical simulations.

Published in:

Decision and Control, 2007 46th IEEE Conference on

Date of Conference:

12-14 Dec. 2007