Compensation time-varying delays in networked control systems via jump linear system approach

The defining characteristic of a networked control system (NCS) is having a feedback loop that passes through a computer network. Contraposing the time delay introduced by network, the networked control systems can be modeled as discrete-time Markovian jump linear systems with mode-dependent time delays. Delay-dependent stabilization condition of discrete-time Markovian jump linear system with mode-dependent time delays is proposed. Based on this condition, the delay compensation controller of NCS is constructed and solution of this controller is given through an iterative procedure of a linear matrix inequality (LMI) minimum problem, which is derived from cone complementarity linearization algorithm. A numerical example is given to illustrate the proposed results.