Proportional multiple-integral observer based sliding mode control for linear systems with mismatched disturbance

The purpose of this paper is to control linear systems with mismatched disturbances using proportional multiple-integral observer(PMI-observer) and sliding mode control(SMC). Based on the system output, PMI-observer estimates unknown states and disturbance. SMC reduces the mismatched disturbances and make the system stable. Stability is proved by Lyapunov theorem and simulation results show the effectiveness of the proposed method in second-order linear system.