Robust Stabilization of Descriptor Systems via State Feedback

Partial Eigenvalue Assignment in Discrete-time Descriptor Systems via Derivative State Feedback

A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...

State Feedback Positive Stabilization of Discrete Descriptor Systems

The positive stabilization problem of discrete-time descriptor systems by means of state-feedback control is studied here. Thus, conditions are developed for a state-feedback controller to make the controlled descriptor system simultaneously stable and positive. An illustrative example is provided to illustrate the proposed approach.

LMI Approach to Stabilization of Descriptor Systems Via Proportional Plus Derivative State Feedback

This paper is concerned with a proportional plus derivative (PD) state feedback control problem for discrete and continuous descriptor linear systems. We aim to design a (PD) state feedback controller which guarantees the stability of closed-loop system. The existence of such a controller is determined by developing a necessary and sufficient condition in terms of LMIs. Then, the desired PD sta...

Robust Eigenvalue Assignment in Descriptor Systems via Output Feedback

Based on a recently proposed parametric approach for eigenstructure assignment in descriptor linear systems via output feedback, the robust eigenvalue assignment problem in descriptor linear systems via output feedback is solved. The problem aims to assign a set of finite closed-loop eigenvalues which have minimum sensitivities with respect to perturbations in the closed-loop coefficient matric...

Strong decoupling of descriptor systems via proportional state feedback