Reconfiguring descriptor linear systems by state feedback eigenstructure assignment: A parametric approach

The design of reconfiguring descriptor linear systems via state feedback is investigated. The aim of reconfiguring descriptor linear systems is to resynthesize a state feedback controller such that the eigenvalues of the reconfigured closed-loop 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. Based on a result of parametric state feedback eigenstructure assignment in descriptor linear systems, the parametric expressions of all the resynthesized state feedback gain matrices are established. The parametric method is simple and offers all the design degrees of freedom that can be utilized to satisfy some additional performances in control system designs. An illustrative example demonstrates the simplicity and effect of the proposed parametric method.