T–S fuzzy-model-based piecewise H∞H∞ output feedback controller design for networked nonlinear systems with medium access constraint

This paper investigates the problem of H∞H∞ output feedback control for a class of networked nonlinear systems subject to medium access constraint, where the nonlinear systems are represented by Takagi–Sugeno (T–S) fuzzy models with norm-bounded uncertainties. The communication constraint concerned is that only one sensor node and one actuator node can access the shared network, which is the case in network environment. The accessibility of sensor nodes and/or actuator nodes is determined by medium access control with a prescribed probability. The attention is focused on the design of a piecewise static output feedback controller such that the closed-loop control system is stochastically stable with a guaranteed H∞H∞ performance. Based on piecewise quadratic Lyapunov functions together with some matrix inequality convexifying techniques, an approach to the design of H∞H∞ output feedback controller is proposed in terms of linear matrix inequalities. Finally, two simulation examples are provided to illustrate the effectiveness of the proposed methods.