%0 Journal Article
%T Explicit Determination of State Feedback Matrices
%A Omar Moh¡¯d El-Basheer El-Ghezawi
%J Advances in Pure Mathematics
%P 403-412
%@ 2160-0384
%D 2015
%I Scientific Research Publishing
%R 10.4236/apm.2015.57040
%X Methods
which calculate state feedback matrices explicitly for uncontrollable systems
are considered in this paper. They are based on the well-known method of the
entire eigenstructure assignment. The use of a particular similarity
transformation exposes certain intrinsic properties of the closed loop w-eigenvectors
together with their companion z-vectors. The methods are extended further to
deal with multi-input control systems. Existence of eigenvectors solution is established.
A differentiation property of the z-vectors is proved for the repeated eigenvalues
assignment case. Two examples are worked out in detail.
%K State Feedback
%K Eigenstructure Assignment
%K Pole Placement
%K Explicit Methods
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=56833