Observer-based controller for systems with time specifications

In this paper, an observer-based state feedback controller system is designed. A new method based on the Generalized Characteristic Ratio Assignment GCRA is used to set the polynomials of the LQR to reach the desired time specifications such as settling time and overshoot. The GCRA allows to define the weighting matrices Q and R. Then based on the separation principle and the GCRA method a full-order observer is derived and associated with the LQR controller to achieve the robust closed-loop performances. Simulation results are presented.