APM  Vol.5 No.7 , June 2015
Explicit Determination of State Feedback Matrices
ABSTRACT
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.

Cite this paper
El-Ghezawi, O. (2015) Explicit Determination of State Feedback Matrices. Advances in Pure Mathematics, 5, 403-412. doi: 10.4236/apm.2015.57040.
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