Abstract
This paper addresses logarithmic vector quantizers with dynamic sensitivity design for stochastic continuous time linear system with a feedback control law. Logarithmic vector quantization is adopted so that the coarsest density of quantization and data compression efficiency are both guaranteed. In addition, the problem of quantizer saturation is treated with the mechanism of dynamic sensitivity. The dynamic of the sensitivity during “zoom-in” / “zoom-out” stages is proposed. It is shown that with the proposed algorithm, a single input continuous time linear system can be stabilized in the sense of mean square by quantized feedback control via adopting sensitivity varying algorithm. Results from theoretical analysis are verified through simulation at the end of the paper.
Highlights
The convergence of communication technology, computer technology and control technology has produced network control systems (NCSs) [1]
The quantization process which exists in communication channel is one of the important factors affecting the performance of NCS, as the controller usually executes in digital form, and signals on continuous sets need to be represented with limited accuracy to process digital information for a limited time
In order to combine the advantages of vector quantization with dynamic sensitivity and provide a systematic solution to quantizer design problem, this paper aims to design a vector quantizer with dynamic logarithmic quantization algorithm embedded
Summary
The convergence of communication technology, computer technology and control technology has produced network control systems (NCSs) [1]. Compared with the traditional point-to-point structured control system, NCSs have many advantages such as lower wiring, easier installation, maintenance and expansion, higher reliability and flexibility, and resource sharing [2]. NCSs have attracted widespread attention in automotive industry [3], power stations [4], robotics [5] and aerospace [6]. The interaction of control and communication complicates the analysis and design of NCSs. The quantization process which exists in communication channel is one of the important factors affecting the performance of NCS, as the controller usually executes in digital form, and signals on continuous sets need to be represented with limited accuracy to process digital information for a limited time.
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