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Adaptive quantized control for linear uncertain discrete-time systems

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3 Author(s)
T. Hayakawa ; CREST, Japan Sci. & Technol. Agency, Saitama, Japan ; H. Ishii ; K. Tsumura

A direct adaptive control framework for linear uncertain systems with input quantizers is developed. The proposed framework is Lyapunov-based and guarantees partial asymptotic stability; that is, Lyapunov stability of the closed-loop system states and attraction with respect to the plant states. Specifically, the input quantizers are logarithmic and characterized by sector-bound conditions with the conic sector adjusted at each time instant by the adaptive controller in conjunction with the system response. Finally, a numerical example is provided to demonstrate the efficacy of the proposed approach.

Published in:

Proceedings of the 2005, American Control Conference, 2005.

Date of Conference:

8-10 June 2005