Decentralized Guaranteed Cost Control for Uncertain Systems with Multiple Time Delays

The problem of designing decentralized guaranteed cost state feedback controller for a class of uncertain interconnected time-delay systems and a given quadratic cost function is investigated. Multiple time delays are in the state, and the delayed terms are also found in the control input and interconnection. The time-varying parameter uncertainties are unknown and norm-bounded. Sufficient conditions for the existence of the guaranteed cost controllers are derived. It is shown that the controller can be constructed in terms of the feasible solution of the linear matrix inequalities (LMI). The presented controller guarantees that the closed loop system is global asymptotically stable. At last, the simulation is given to illustrate the validity of the proposed method.