The Robust Pole Assignment Problem for Second-Order Systems

Abstract EN

Pole assignment problems are special algebraic inverse eigenvalue problems.

In this paper, we research numerical methods of the robust pole assignment problem for second-order systems.

The problem is formulated as an optimization problem.

Depending upon whether the prescribed eigenvalues are real or complex, we separate the discussion into two cases and propose two algorithms for solving this problem.

Numerical examples show that the problem of the robust eigenvalue assignment for the quadratic pencil can be solved effectively.