Non-fragile static output feedback controller design for linear continue-time systems with delay

This paper addresses the non-fragile static output feedback control problem for a class of linear continue-time systems with delay. By introducing a matrix transformation method, a novel non-fragile controller design is proposed which can solve the controller gain more easily and avoid complicated iteration calculation for non-linear matrix inequality. Then, the corresponding criteria can be obtained to guarantee the asymptotic stability of the closed-loop systems and calculate the satisfactory non-fragile controller gain. Meanwhile, the proposed design scheme can also be applied in linear continue-time systems without delay so as to obtain satisfactory control results. Finally, a numerical example is provided to verify the effectiveness of the proposed design scheme.