Observer-based H_∞ control for a class of nonlinear networked systems

This paper is concerned with the problem of robust HH_∞ control for a class of uncertain networked control systems with nonlinear perturbations. The uncertainties are assumed to be time-varying and norm-bounded. The perturbations are assumed to be time-varying and satisfy global Lipschitz conditions and appear in both the state and measurement output equations. An observer-based controller is designed, which guarantees the exponential stability and a prescribed HH_∞ performance level of the closed-loop system subject to the network-induced delay and data dropout. Sufficient conditions on the existences of the stabilizing controller are established. The controller gains can be obtained by solving these conditions. An illustrative example is given to demonstrate the effectiveness of the proposed methods.