Robust H ∞ Control Design of NCS

Some unknown elements always exist in the analysis process for the control systems, such as unmodeled dynamics, parametric uncertainties, change of the operating environment, model reduction and linearization approximations, etc., or external disturbance. So it is significative to study the disturbance process or the uncertain systems. The emergence and the development of the robust control theory were just in such environment, and it is becoming an important research field of the control theory and its practice applications. To address instability and jump degeneration of linear network control system with time-delay and packet dropout, and considering uncertainties of network control systems model and external disturbance, the paper presents network control systems delay-dependent stochastic stability and Linear matrix inequalities (LMI) conditions by introducing Lyapunov-Krasovskii functional and relaxation matrix variable. The paper proposes the network control system delay-dependent stochastic stability and disturbance attenuation LMI conditions and robust H∞ control system perturbation attenuation performance analysis. By using simple mathematical derivation, solving two Riccati equations, we can be sub-optimal control solution. Finally, the simulation example can be found robust stability, simple and effective. Copyright © 2014 IFSA Publishing, S. L.