Separation principle for robust pole assignment in descriptor linear systems

A separation principle for robust pole assignment in the full-order observer-based control system designs is proposed for descriptor linear systems. It reveals that the two facts: the closed-loop poles which are identical with those in the state feedback control system have the same sensitivities with respect to the perturbation parameters in the open-loop system coefficient matrices as those in the state feedback control system; the closed-loop poles which are identical with those in the observer system have the same sensitivities with respect to the perturbation parameters in the open-loop system coefficient matrices as those in the observer system. Thus, pole assignment with minimum sensitivities in a n -dimensional descriptor linear system using a full-order observer-based state feedback controller can be easily realized by solving two separate n-dimensional state feedback robust pole assignment problems.