Parametric eigenstructure assignment for singular systems by the standard form approach

Abstract

This paper deals with eigenstructure assignment for controllable singular systems of the form Ex(t) = Ax(t) + Bu(t) by state feedback control of the form u(t) = Kx(t) + w(t). The development of our method depends crucially upon properties of standard form singular systems. The closed‐loop system will satisfy the following requirements: regularity, impulse free response and rank E arbitrary eigenvalues assignment. The non‐uniqueness of the solution, K, causes the closed‐loop eigenvectors having the degree of freedom to be adjusted. One illustrative example is included.

Key words:

• singular systems
• standard forms
• eigenvalue placement
• eigenstructure assignment
• state feedback

Notes

Correspondence addressee