Feedback Control in the Presence of Input and Output Disturbances

A novel control law is proposed to attenuate the influence of input and output disturbances for systems with vector output and sector bounded nonlinearities. The control law is based on estimation of the disturbance in the output. Differently from the existing results, the ultimate bound of the closed-loop system depends on only one component of the output disturbance vector (as well as, on the input disturbance). The results are formulated in terms of LMIs. The efficiency and advantages of the results over the existing methods are demonstrated by numerical examples.