Output Control of Linear Time-invariant Systems Under Input and Output Disturbances

Abstract The novel control algorithm for linear time-invariant systems under disturbances and measurement noises is proposed. The designed control law, based on the noise and disturbance estimation, ensures the accuracy in steady state depending on the disturbance, only one component of noise vector and its first derivatives. Sufficient conditions in terms of linear matrix inequality (LMI) providing stability of the closed-loop system are obtained. The simulations show efficiency of the proposed method compared with existing ones.