Robust and minimum norm partial quadratic eigenvalue assignment in vibrating systems: A new optimization approach
نویسندگان
چکیده
منابع مشابه
Robust and Minimum Norm Partial Quadratic Eigenvalue Assignment in Vibrating Systems: A New Optimization Approach
The partial quadratic eigenvalue assignment problem (PQEVAP) concerns reassigning a few undesired eigenvalues of a quadratic matrix pencil to suitably chosen locations and keeping the other large number of eigenvalues and eigenvectors unchanged (no spill-over). The problem naturally arises in controlling dangerous vibrations in structures by means of active feedback control design. For practica...
متن کاملAn Optimization Approach for Minimum Norm and Robust Partial Quadratic Eigenvalue Assignment Problems for Vibrating Structures
The Partial Quadratic Eigenvalue Assignment Problem (PQEVAP) concerns the reassignment of a small number of undesirable eigenvalues of a quadratic matrix pencil, while leaving the remaining large number of eigenvalues and the corresponding eigenvectors unchanged. The problem arises in controlling undesirable resonance in vibrating structures and in stabilizing control systems. The solution of t...
متن کاملMinimum Norm Partial Quadratic Eigenvalue Assignment with Time Delay in Vibrating Structures Using the Receptance and the System Matrices
The partial quadratic eigenvalue assignment problem (PQEAP) is to compute a pair of feedback matrices such that a small number of unwanted eigenvalues in a structure are reassigned to suitable locations while keeping the remaining large number of eigenvalues and the associated eigenvectors unchanged. The problem arises in active vibration control of structures. For real-life applications, it is...
متن کاملRobust Partial Quadratic Eigenvalue Assignment in Second-Order Control Systems
In this paper we consider the robust partial quadratic eigenvalue assignment problem for second-order control systems by state feedback. To simultaneously reduce the feedback norms and the sensitivity of the close-loop eigenvalues, we formulate the problem as an unconstraint minimization problem for a new proposed cost function. An explicit analytic expression of the gradient of the cost functi...
متن کاملPartial Eigenvalue Assignment in Discrete-time Descriptor Systems via Derivative State Feedback
A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mechanical Systems and Signal Processing
سال: 2010
ISSN: 0888-3270
DOI: 10.1016/j.ymssp.2009.09.014