Random System Delay Stabilization And Robust Control

Stochastic control theory is widely used in economy, population system, social fields and aerospace, navigation and control, manufacturing engineering and engineering field. Stochastic system research has become one of a hot issue of modern control theory research. In the actual system, nonlinear, delay is universal exist, delay usually causing the instability or produce the root of oscillation. On the other hand, control system often affected by uncertainty factors like Parameter errors,Unmodeled dynamics and uncertainty outside interference. System model has some kind of uncertainty .Field of control produces robust control theory bases on the uncertainties on system performance impact study. Therefore, the delay stabilization and robust control problems for stochastic systems have important theoretical research significance and actual application value.In this paper, we construct a Lyapunov-Krasovskii functional firstly, the delay feedback robust stabilization and H_∞control problems for a class of stochastic system are reserched by Ito? differential formula and linear matrix inequality(LMI) techniques, the delay-dependent sufficient conditions which provide the feasibility of the H_∞controller are given. The numerical example with simulation also has given to show the feasibility and effectiveness of the proposed method.Secondly,the states of the stochastic systems under consideration in chapter 4 are not available directly, the stochastic dynamic output feedback stabilization and delay control problems are studied by Ito? differential formula, linear matrix inequality(LMI) and bilinear matrix inequality (BMI)techniques, and given the design method of stochastic dynamic output feedback controller. This kind of controller is different from traditional state feedback controller and state output feedback controller. The feasibility and effectiveness of the proposed method and the correctness of the conclusion are shown by the illustrate numerical example .At last,we summarize the full text and gives the future research direction.