Robust dynamical order assignment for linear descriptor systems

This paper considers the problem of robust dynamical order assignment by derivative input feedback of descriptor systems. Descriptor systems provide us a more general description of physical systems, and this description is of great advantage than normal systems. Consequently and undoubtedly, descriptor systems have led us into a virgin land which is full of challenges and opportunities. Because of the specialization of derivative matrix of descriptor systems, some performances could not be realized by proportional feedback, but it could be realized by derivative feedback under some conditions, which implies the superiority of derivative feedback. Finally, an example is given to illustrate the validity of our method.