H∞ fuzzy control with missing data

This paper investigates the problem of H-infinity fuzzy control of nonlinear systems under unreliable communication links. The nonlinear plant is represented by a Takagi-Sugeno fuzzy model, and the control strategy takes the form of parallel distributed compensation. The communication links, existing between the plant and controller, are assumed to be imperfect (that is, data-packet dropouts occur intermittently, which appear typically in a network environment), and stochastic variables satisfying the Bernoulli random binary distribution are utilized to model the unreliable communication links. Attention is focused on the design of H-infinity controllers such that the closed-loop system is stochastically stable and preserves a guaranteed H-infinity performance. Two approaches are developed to solve this problem, based on quadratic Lyapunov function and basis-dependent Lyapunov function respectively. Several examples are provided to illustrate the usefulness and applicability of the developed theoretical results.