Abstract
Eigenstructure assignment for continuous-time descriptor systems Ei(t) = Ax(t) + Bu(t) via descriptor-variable feedback control u(t) = Kx(t) is treated. A new parametric form for the gain matrix K which assigns rank [El arbitrary finite eigenvalues to the closed-loop system is developed. This form embraces two sets of design parameter vectors characterizing respectively the assignable eigenvectors associated with the finite eigenvalues and a necessary and sufficient condition for closed-loop system regularity. In addition, a certain submatrix of K turns out to be totally free whenever nullity [El exceeds rank [B]. Unlike earlier methods, the eigenvectors associated with the infinite eigenvalues are dispensed with in the solution algorithm. © 1989 Taylor & Francis Group, LLC.
| Original language | British English |
|---|---|
| Pages (from-to) | 129-143 |
| Number of pages | 15 |
| Journal | Int J Control |
| Volume | 49 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1989 |
Keywords
- Mathematical Techniques--Eigenvalues and Eigenfunctions
- Closed-Loop System
- Continuous-Time Descriptor
- Eigenstructure Assignment
- Feedback Control
- Gain Matrix
- Generalized State-Space Systems
- Control Systems