Static-output feedback controller design for a class of nonlinear networked control systems with random delay and data packet dropout

In this paper, the problems of stability and stabilization are investigated for a class of nonlinear networked control systems (NCSs) in the presence of random delay. First, network-induced random delay is modelled as a Markov chain, and the resulting closed-loop system is transformed into a Markovian jump system. Then, sufficient conditions for stochastic stability and stabilization of the underlying systems are derived via a new linear matrix inequalities (LMIs) formulation. Moreover, the stabilizing output feedback controller design is achieved by assuming some elements in the transition probability matrix to be unknown or unavailable because of the complexity of the network. Finally, numerical examples and simulations are carried out to show the usefulness of the designed controller.