Robust Eigenstructure Assignment: New Approach
نویسنده
چکیده
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 via state or output feedback. The freedom provided by eigenvalue assignment of multivariable systems is applied to optimize the new index using genetic algorithms. The new results expressed in this paper confirm the previously derived results on robust eigenstructure assignment. In the case of state feedback design, the new robustness index verifies a previously proposed robustness measure. A numerical example is presented to illustrate the effectiveness of the proposed method. Copyright © 2005 IFAC
منابع مشابه
Robust Control of Redundantly Actuated Dynamical Systems
The eigenstructure assignment scheme for robust multivariable state feedback control is extended to redundantly actuated dynamical systems. The fact that the plants that are atleast square allow for the exact assignment of an arbitrary orthonormal set of closed loop eigenvectors makes this methodology attractive for feedback controller design poorly modeled dynamical systems. For second order m...
متن کاملRobust Decentralized Pole Assignment
This paper considers the problem of assigning the closed-loop eigenvalues of linear large-scale systems in a desired stable region using decentralized control. A new method for robust decentralized control of the system via eigenstructure assignment of the subsystems is given. Based on the matrix perturbation theory, sufficient conditions for eigenstructure of each isolated subsystem are derive...
متن کاملRobust 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...
متن کاملA review on eigenstructure assignment methods and orthogonal eigenstructure control of structural vibrations
This paper provides a state-of-the-art review of eigenstructure assignment methods for vibration cancellation. Eigenstructure assignment techniques have been widely used during the past three decades for vibration suppression in structures, especially in large space structures. These methods work similar to mode localization in which global vibrations are managed such that they remain localized...
متن کاملH∞ Controller Design of Mixed Eigenstructure Assignment and H∞ Filter for Flexible Structure Vibration Control
This paper presents a new H∞ controller design approach of mixed eigenstructure assignment and H∞ filter for flexible structure vibration control problem. The new approach not only realizes the desired system dynamic response in the time domain through the choice of a state feedback gain using eigenstructure assignment, it also guarantees the performance specifications in the frequency domain b...
متن کامل