Reconfiguring linear control system via eigenstructure assignment

Reconfiguring linear control systems via eigenstructure assignment is studied. The aim is to redesign a state feedback control law such that the eigenvalues of the reconfigured closed-loop linear system can completely recover those of the original close-loop system, and make the corresponding eigenvectors of the former as close to those of the latter as possible. General complete parametric expressions for the state feedback gains are established in term of a set of parametric vectors and the closed-loop poles. The parametric vectors and the closed-loop eigenvalues represent the degrees of freedom existing in the reconfiguring linear system, and can be further properly chosen to meet some desired specification requirement. The simulation results in an illustrative example show that the proposed parametric method is effective and simple.