Eigenstructure assignment and impulse elimination for singular second-order system via feedback control

This study presents the eigenstructure assignment approach for singular second-order system via feedback control. The solvability for the problem of normalisation is considered by analysing characteristic polynomial of closed-loop system. All the parametric expressions of controller gains for normalisation are derived. Combining infinite eigenstructure and finite eigenstructure of closed-loop system, impulse elimination approach via feedback control is presented. More precisely, based on desired eigenstructure, the parametric expressions of the gains controller making the closed-loop system impulse-free and assigning the finite eigenstructure are formulated. Simulation results are provided to verify the effectiveness of the proposed method.