An optimization approach for minimum norm and robust partial quadratic eigenvalue assignment problems for vibrating structures
نویسندگان
چکیده
منابع مشابه
An 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...
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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...
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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...
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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...
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The construction of a closed-loop observer for linear control systems and the associated eigenvalue assignment problem are classical tasks in Control Theory. The present paper describes an algorithm for the solution of this eigenvalue assignment problem. The algorithm is based on the implicitly restarted Arnoldi method, and is well suited for large-scale problems, that require the (re)assignmen...
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ژورنال
عنوان ژورنال: Journal of Sound and Vibration
سال: 2009
ISSN: 0022-460X
DOI: 10.1016/j.jsv.2009.02.020