Decentralized quantized control for NCSs under periodic protocol

This paper is concerned with the problem of designing decentralized quantized controller for networked control systems (NCSs) that are subject to time-varying transmission intervals, packet dropout, communication constraints and limited bandwidth. The convex overapproximation method proposed in Donkers and Heemels (2011) is used to handle with time-varying transmission intervals. Packet dropout process in this paper is modeled as both independent identically distributed process and homogeneous Markov jumping process. The uniform quantizer is adopted here to deal with limited bandwidth. In quantization strategy, which switches between “zooming out” and “zooming in” modes, a variable called proportionality coefficient of saturation value is used to handle with the complex coupling relationship between system states and quantized variables. Periodic protocol is used here to deal with communication constraints, under which only one node can access the network and send its information per transmission. Within this setup, we derive stability results in terms of linear matrix inequalities (LMIs). An illustrative example is given to show the usefulness of the proposed framework for the stability analysis of some classes of NCSs.