An improved method for eigenvalue assignment of LTI multivariable systems by state feedback

This paper presents an improved method for eigenvalue assignment of the LTI multivariable systems by state feedback. In this method, vector companion form of the system representation is used. The proposed method, in addition to the controllable multivariable systems, can be applied to the stabilizable ones. Moreover, by this method, both types of numerical and parametric state feedback gain matrices can be achieved. The numerical state feedback gain matrix is unique; however, the parameters in the parametric one are determined in order to achieve a gain matrix with minimum Frobenius norm. The numerical examples show the performance and software implementation capability of the proposed technique.