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

Abstract

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.