New delay-dependent stabilisation criterion for a class of networked control systems

Networked control systems (NCSs) have been one of the main research areas in academia as well as in industry for many decades. In this paper, the study investigates the problem of delay-dependent stability criterion based on a newly developed NCS model including all these network phenomena and the new Lyapunov functional candidate for a class of NCSs, which the plant and the controller are spatially separated and the control loop is closed through a communication network. By introducing new Lyapunov functional candidate and free-weighting matrices techniques, the bounds on the maximally allowable transmission interval (MATI) are derived, which guarantee stability of the NCS in the presence of communication constraints, and the criteria of delay-dependent asymptotical stability for systems are analysed. The efficacy and feasibility of the proposed methods is shown by presenting simulation results.