The Parametric Solutions of Eigenstructure Assignment for Controllable and Uncontrollable Singular Systems

Unknown input observers for singular systems designed by eigenstructure assignment

In this paper, any unknown input observers with orders between minimum and full orders can be established for singular systems by eigenstructure assignment method. The complete and parametric solutions for the observer matrices and for the generalized eigenvectors are obtained. The completeness and parametric forms of the solutions and the flexibility in selecting the observer order allow the d...

Eigenstructure Assignment in Reconfigurable Control Systems Eigenstructure Assignment in Reconfigurable Control Systems

An optimization approach to control reconnguration, based on eigenstructure assignment , for control systems with output feedback is presented. The emphasis is on the recovery of the nominal closed-loop performance, which is determined by the closed-loop eigenvalues and eigenvectors. The proposed scheme preserves the max(r; q) most dominant eigenvalues of the nominal closed-loop system and dete...

Eigenstructure Assignment for Control

Controllable and Uncontrollable Poles and Zeros of nD Systems

We use the behavioural approach to de®ne and characterize control-lable and uncontrollable poles and zeros of multidimensional (nD) linear systems. We show a strong relationship between controllable poles and zeros and properties of the transfer function matrix, and we give characterizations of uncontrollable poles and zeros, in particular demonstrating that these have an input decoupling prope...

Reconfiguring Second-order Dynamic Systems via P-D Feedback Eigenstructure Assignment: A Parametric Method

Abstract: The design of reconfiguring a class of second-order dynamic systems via proportional plus derivative (P-D) feedback is considered. The aim is to resynthesize a P-D feedback controller such that the eigenvalues of the reconfigured closed-loop system can completely recover those of the original close-loop system, and make the corresponding eigenvectors of the former as close to those of...