Research On Non-fragile Guaranteed Cost Control For Stochastic Systems With Delay-range-dependent

The missions of stabilization and guaranteed cost control system are two common problems in control theory, time delay phenomenon widely exists in the control system, time delay becomes a hot research topic, which is an important factor affecting the system unstable. In this article, we mainly studied non-fragile guaranteed cost control for stochastic systems with delay-range-dependent, the main contents are summarized as follows:1) The issue of non-fragile guaranteed cost control for stochastic systems with delay-range-dependent is studied. The object of this part is to design a non-fragile guaranteed cost state feedback controller that can not only ensure the robust stability, but also guarantee the cost function is less than a given upper bound. The sufficient condition for existence of the controller is derived by using Lyapunov function, the linear matrix inequality(LIM) and introducing the freedom matrix.2) On the basis of the idea of the first part, the issue of non-fragile guaranteed cost control for uncertain stochastic systems with delay-range-dependent is studied. The sufficient condition for existence of the controller is derived in the form of the linear matrix inequality(LIM) by using different Lyapunov function and introducing proper freedom matrix.Finally, summarize the full text, point out the deficiency and future research direction.