Optimal output quadratic regulation

Abstract

To have an accurate information of system states is always being a challenging task for the control designers irrespective the system is linear or non linear. This information is used for state feedback in tracking of a reference signal. An observer based optimal linear quadratic scheme is presented in this paper. Linear time invariant (LTI) system is used for reference tracking in the presence of external disturbance once only plant input and output is available to us. The proposed closed loop structure is capable of rejecting the disturbance by utilizing the prior information of disturbance. A optimize quadratic cost function effectively utilizing the observed plant states is defined. Its performance in the presence of observer makes it more realistic for practical use. Suggested algorithm performance is discussed with the simulation results with third order linear system.