Output Feedback Control for Linear Systems under Measurement Disturbances

In this brief, the output feedback control issue is investigated for linear systems under unmeasured states with the influences of measurement disturbances. Due to these unmeasured states, the measurement outputs are used for designing the controller, while, they are mixed with measurement disturbances. In order to construct the feedback controller, the states are observed using a state observer, which is driven via the measurement outputs. A disturbance observer is employed to estimate the measurement disturbances. Then, the linear matrix inequations technique is adopted for disposing the coupling between these observers. Furthermore, the Lyapunov stability theory is applied to prove the stability analysis of closed-loop systems. Finally, a numerical example is given to show the availability of proposed control method.