Asymptotic Stabilization of Continuous-Time Linear Systems with Input and State Quantizations. (21st July 2014)

• Record Type: Journal Article
• Authors: Yun, Sung Wook; Kim, Sung Hyun; Park, Jin Young
• Other Names: Sun Xi-Ming Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-07-21
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/947164
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.