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A parametric approach for eigenvalue assignment by static output feedback
Authors:SM Karbassi  F Saadatjou
Institution:a Faculty of Mathematics and Computer Science, University of Yazd, Yazd 89195-741, Iran
b Department of Computer Science, Yazs Jahad Daneshgahi Institute of Advanced Education (ACECR), Yazd, Iran
Abstract:A well-known method of eigenvalue assignment by static output feedback is improved. The main result is a parametric expression for the output feedback controller gain matrix explicitly characterized by the set of non-linear system of equations obtained for the state feedback design and the set of linear equations resulting from static output feedback consideration. In practice, it is shown that all the possible controllers can be generated for exactly assigning the prescribed eigenvalues of the nominal plant by appropriate software for solving the set of non-linear system of equations thus obtained. This in turn makes it possible to select the output feedback matrix with minimum norm or other constraints. Some numerical examples are presented to illustrate the design technique.
Keywords:Output feedback control  Multivariable control systems  Eigenvalue assignment  Parameterization
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