Robust disturbance attenuation for uncertain networked control systems with random time delays

The problem of robust stabilisation and disturbance attenuation for a class of uncertain networked control systems (NCSs) with random communication network-induced delays is studied. Both sensor-to-controller and controller-to-actuator random network-induced delays are considered. Furthermore, Markov processes are used to model these random network-induced delays. Based on the Lyapunov-Razumikhin method, a controller is designed such that both robust stability and a prescribed disturbance attenuation performance for the closed-loop NCS are achieved, irrespective of the uncertainties and network-induced delays. The controller design technique is given in terms of the solvability of bilinear matrix inequalities. An iterative algorithm is proposed to change this non-convex problem into quasi-convex optimisation problems, which can be solved effectively by the mathematical tools available. The effectiveness of the proposed design methodology is verified by a numerical example.