Non-fragile guaranteed cost control of an interval system with state and input delay

The paper considers non-fragile guaranteed cost for an interval system with state and input delay. An interval system described by matrix factorization and the attention is focused on the design of memoryless state feedback controllers such that the resulting closed-loop system is not only robustly stable but also guaranteed to be no more than a certain upper bound with all admissible uncertainties enter the state, delayed state, input, delayed input and the control gain. A sufficient condition is derived and a parametrized characterization of guaranteed cost control laws is given in terms of the feasible solutions to a certain LMI. Furthermore, a convex optimization is formulated to design the optimal controller. Simulation results on a real example are presented to validate the proposed approach.