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Mathematical Problems in Engineering
Volume 2014, Article ID 947164, 6 pages
Research Article

Asymptotic Stabilization of Continuous-Time Linear Systems with Input and State Quantizations

1Technology Convergence R&BD Group, Korea Institute of Industrial Technology, Yuga-myeon, Dalseong-gun, Daegu 711-880, Republic of Korea
2Department of Electrical Engineering, University of Ulsan (UOU), Ulsan 680-749, Republic of Korea

Received 5 May 2014; Revised 8 July 2014; Accepted 8 July 2014; Published 22 July 2014

Academic Editor: Xi-Ming Sun

Copyright © 2014 Sung Wook Yun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper discusses the asymptotic stabilization problem of linear systems with input and state quantizations. In order to achieve asymptotic stabilization of such systems, we propose a state-feedback controller comprising two control parts: the main part is used to determine the fundamental characteristics of the system associated with the cost, and the additional part is employed to eliminate the effects of input and state quanizations. In particular, in order to implement the additional part, we introduce a quantizer with a region-decision making process (RDMP) for a certain linear switching surface. The simulation results show the effectiveness of the proposed controller.