Sample-data Decentralized Reliable H∞ Hyperbolic Control for Uncertain Fuzzy Large-scale Systems with Time-varying Delay

Abstract

This paper studies the problem of sampled-data reliable H ∞ hyperbolic control for uncertain continuous-time fuzzy large-scale systems with time-varying delay. Firstly, the fuzzy hyperbolic model (FHM) is used to establish the model for certain complex large-scale systems, then according to the Lyapunov direct method and the decentralized control theory of large-scale systems, linear matrixine qualities (LMIs)-based conditions arederived toguarantee the H ∞ performance not only when all control components are operating well, but also in the presence of some possible actuator failures. Moreover, the precise failure parameters of the actuators are not required, and the requirements are only the lower and upper bounds of failure parameters. The conditions are dependent on the upper bound of time-delay, and not dependent on the derivative of time-varying delay. Therefore, the obtained results are less conservative. Finally, two examples are provided to illustrate the design procedure and its effectiveness.