Quantized control for NCSs with communication constraints

Abstract

This paper studies the stabilization problem for networked control systems (NCSs) affected by data quantization, time-varying transmission intervals, time-varying transmission delays and communication constraints. Time-varying transmission intervals and delays, by limiting the upper and lower bounds of which, can be described by a two-dimensional convex region. Combined with the coupling role of data quantization, communication constraints mean that only one node can occupy the network and send its quantized values in each transmission. The order in which node transmits its quantized values is determined by a given periodic network protocol. By introducing a variable called proportionality coefficient of saturation value in well-known zoom strategy to deal with the complex coupling relationship between system states and quantized variables, some sufficient conditions are derived for reaching asymptotic stability of NCSs under properly designed quantizer parameters. A simulation example is given to illustrate the effectiveness of the theoretical analysis.