H∞ static output feedback control for nonlinear networked control systems with time delays and packet dropouts

In this paper, the H∞ static output feedback control problem is investigated for a class of nonlinear networked control systems with imperfect measurements. A novel control law model is proposed to take the network-induced delay, random packet dropout and packet-dropout compensation into consideration simultaneously. The network status is assumed to vary in a Markovian fashion satisfying a certain transition probability matrix. By constructing a network-status-dependent Lyapunov functional, a sufficient condition for the existence of the H∞ output feedback controller is formulated in the form of nonconvex matrix inequality, and the cone complementarity linearization (CCL) procedure is exploited to solve the nonconvex feasible problem. Finally, two illustrative examples are provided to show the effectiveness and applicability of the proposed method.