LMI approaches to input and output quantized feedback stabilization of linear systems

Xiao-Heng Chang, Zhi-Min Li, Jun Xiong and Yi-Ming Wang

Applied Mathematics and Computation, 2017, vol. 315, issue C, 162-175

Abstract: This paper investigates the problem of quantized feedback stabilization for linear systems. In the controlled systems, the measurement output and control input signals are transmitted via the digital communication link, and the quantization errors are treated as sector bound uncertainties. Two different approaches to designing output feedback are developed and the corresponding design conditions in terms of solutions to linear matrix inequalities (LMIs) are presented. The resulting design is such that the homologous closed-loop system is asymptotically stable with respect to the quantization effects. Finally, we illustrate the efficiency of our main results by a numerical example.

Keywords: Linear systems; Input and output quantization; Stabilization; Linear matrix inequalities (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:315:y:2017:i:c:p:162-175

DOI: 10.1016/j.amc.2017.07.038

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