FEEDBACK CONTROL IN DISTRIBUTED PARAMETER GYROSCOPIC SYSTEMS: A SOLUTION OF THE PARTIAL EIGENVALUE ASSIGNMENT PROBLEM
✍ Scribed by B.N. DATTA; D.R. Sarkissian
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 200 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0888-3270
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✦ Synopsis
This paper presents a novel solution to the partial eigenvalue assignment problem of an undamped gyroscopic distributed parameter system. The partial eigenvalue assignment problem is the problem of reassigning by feedback a few undesired eigenvalues of the openloop operator pencil while leaving the remaining infinite number of eigenvalues unchanged.
The distinctive practical features of our solution are (i) it requires the solution of only a small finite-dimensional linear algebraic system and knowledge of only a small finite number of eigenvalues and eigenvectors of the infinite-dimensional open-loop operator pencil, (ii) no spill-over occurs; that is, the remaining infinite number of eigenvalues and eigenvectors that are required to remain invariant will remain in their places and (iii) it is obtained completely in a distributed parameter setting and no discretisation to secondorder system of differential equations is invoked so that vital inherent properties of the original system are fully preserved.
Because of the above-mentioned practical features, the proposed solution is readily applicable to stabilise or to combat the effects of excessive vibrations in a large structure.