Modal coupling in linear control systems using robust eigenstructure assignment

Robust Eigenstructure Assignment in Geometric Control Theory

In this paper we employ the Rosenbrock system matrix pencil for the computation of output-nulling subspaces of linear time-invariant systems which appear in the solution of a large number of control and estimation problems. We also consider the problem of finding friends of these output-nulling subspaces, i.e., the feedback matrices that render such subspaces invariant with respect to the close...

Robust Eigenstructure Assignment in Second-Order Control Systems

Feedback design for a second order control system leads to an eigenstructure assignment problem for a quadratic matrix polynomial. It is desirable that the feedback controller not only assigns specified eigenvalues to the second order closed loop system, but also that the system is robust, or insensitive to perturbations. We show that robustness of the quadratic inverse eigenvalue problem can b...

Eigenstructure Assignment in Reconfigurable Control Systems Eigenstructure Assignment in Reconfigurable Control Systems

An optimization approach to control reconnguration, based on eigenstructure assignment , for control systems with output feedback is presented. The emphasis is on the recovery of the nominal closed-loop performance, which is determined by the closed-loop eigenvalues and eigenvectors. The proposed scheme preserves the max(r; q) most dominant eigenvalues of the nominal closed-loop system and dete...

Robust Eigenstructure Assignment: New Approach

This paper considers the problem of robust eigenstructure assignment, which involves finding a feedback gain matrix that makes the closed-loop system insensitive to perturbations or parameter variations. The main contribution of the paper is to derive a new robustness measure using the matrix perturbation theory. The new measure is used to formulate a new method for robust control of the system...

Eigenstructure Assignment for Control