Design of observer-based controller for T–S fuzzy systems with intermittent measurements

This paper studies the problem of observer-based fuzzy control for a class of nonlinear networked control systems (NCSs) in the framework of interval type-2 (IT2) Takagi–Sugeno (T–S) fuzzy model. Both imperfect communication channels and parameter uncertainties are taken into consideration. Bernoulli random distribution is used to describe such unreliable communication environment. Nonlinear NCSs are modeled via the IT2 T–S fuzzy model, in which membership functions with lower and upper bounds can capture and express parameter uncertainties. The observer is designed to observe unmeasurable state variables. Moreover, based on these techniques, sufficient conditions are derived to guarantee the resulting closed-loop system to be stochastically stable and possess the property of external disturbance attenuation. Finally, a numerical example is provided to illustrate the effectiveness of the approach proposed in this paper.