Non-fragile stabilization for networked control systems with input delay and randomly occurring gain uncertainties

The problem of non-fragile stabilization is investigated for a class of nonlinear networked control systems with time-varying input delay and randomly occurring gain uncertainties. A binary switching sequence obeying a conditional probability distribution is introduced to govern the randomly occurring gain fluctuation in controller implementation, which could better reflect the random nature of network-induced phenomena. Attention is focused on the design of a non-fragile static output feedback controller such that the closed-loop systems is mean-square asymptotically stable in the presence of network-induced delay and gain uncertainties. Intensive stochastic analyses and novel inequality bounding techniques are carried out to achieve the existence condition of the stabilization controller, and the desired controller gain can be derived by solving a nonconvex feasibility problem via a modified cone complementary linearization algorithm. Finally, a numerical example is provided to illustrate the effectiveness and superiority of the proposed stabilization method.