Guaranteed cost controller design for a class of uncertain networked control systems

The guaranteed cost controller design problem of the systems with time-varying uncertain networked-induced delay and polytopic uncertainties was studied. By the introduction of two slack matrices for the separation of Lyapunov matrix and system matrix, a criterion for the time delay compensation of guaranteed cost controller was obtained, and on the basis of this criterion a robust state feedback guaranteed cost controller was designed. When the criterion was used in the above mentioned systems, vertex-dependent Lyapunov function was obtained so that a less conservative design was realized. Additionally, an iterative algorithm was developed in order to get optimum solution. A numerical example shows the effect of this proposed approach.