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http://dx.doi.org/10.12673/jant.2018.22.3.228

Data Rate Condition for Quantizer Achieving Practical Stability  

Yang, Janghoon (Department of New Media, Seoul Media Institute of Technology)
Publication Information
Journal of Advanced Navigation Technology / v.22, no.3, 2018 , pp. 228-232 More about this Journal
Abstract
Dealing with quntization error in a control system properly becomes much more important as many devices are connected through network and controlled. Thus, in this paper, we study a data rate condition on quantizer to achieve practical stability in a discrete time linear time invariant system with state feedback control. First, required data rate is shown to depend on eigenvalue of the closed loop system, the size of the initial state vector, the magnitude of initial quantization error, and control gain in the absence of process noise. It additionally depends on the maximum magnitude of process noise when noise is not zero. Asymptotic analysis shows that a new design method may be needed to reduce the date rate for a networked control in the presence of quantization error and noise.. We provide a simple numerical evaluation of uniform quantizer and logarithmic qunatizer to assess their characteristics of practical stability depending on data rate in the presence of noise.
Keywords
Control; Data rate; Feedback system; Quantization; Stability;
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