Author(s)

Omar Moh’d El-Basheer El-Ghezawi^*

Electrical Engineering Department, The University of Jordan, Amman, Jordan.

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.

State Feedback, Eigenstructure Assignment, Pole Placement, Explicit Methods

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