The Research Of Control Method For Stochastic Neutral Systems With Nonlinear Perturbations

Time-delay systems widely exists in the control system, such as mechanicaltransmission system、fluid transmission system、 biological system、metallurgicalsystem、hydraulic system、electronic network and so on. Time-delay can induceinstability and poor performance in control systems. In practice, we utilize certainmodel and stochastic model to describe dynamical phenomenon. Under higherprecision, we must fully consider the influence of random factors. Recently,research on stochastic neutral system has been increasingly studied.In recent years, many scholars focus on the application of sliding mode variablestructure method in control system. The sliding mode surface and the equivalentcontroller is designed, which can quickly respond to input transformation, and isnot sensitive to disturbance and transformation of parameter, and has a goodrobustness and simple physical production. Sliding mode can adapt to the system’sperturbation and the system’s interference. Once the system status bring into thesliding mode movement, the systems quickly converge to control target. Thisprovides an effective way for robustness design of time-delay systems anduncertainty systems.First, we investigate sliding mode controller for stochastic neutral delaysystems with distributed time delays and nonlinear interference. According to thelinear matrix inequality method, we design a sliding mode surface based on thecurrent state and delay state, and obtain a criterion of mean-square asymptoticstabilization of stochastic neutral type system.Then, on the basis of stochastic neutral system with distributed delay andnonlinear interference, we further discuss the stability of uncertain stochasticneutral system. We concern input controller for a class of uncertain stochasticneutral systems with distributed delays and nonlinear perturbations. Theuncertainties are norm-bounded and the states of the uncertain neutral systems areavailable. With proper assumptions, the existent conditions of quadraticstabilization andH state feedback controller are proposed.