Eigenstructure assignment via output feedback in second-order dynamic systems

Guang‐Ren Duan · Systems engineering and electronics · 2004

The design of eigenstructure assignment via output feedback in a class of second-order dynamic systems is investigated. Based on parametric solutions of generalized Sylvester equations, complete parametric expressions in (direct) closed forms for both the left and the right closed-loop eigenvector matrices and their corresponding feedback gains are established in terms of the closed-loop eigenvalues and a group of free parametric vectors. The parametric method utilizes directly the original system data, which makes calculation simple and easy to implement in applications. The illustrative example shows that the proposed method is simple and effective.

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