Direct Partial Modal Approach for Solving Generalized First Order Systems
Ehab A. El-Sayed, M. Modather, Mohamed Abdella Abdou, Saudi Arabia · 2012
Abstract. In this Research, we propose an explicit solution to the partial eigenvalue assignment problem for non-symmetric generalized first order control systems in single-input case using orthogonality relations between eigenvectors. Our solution can be implemented with only a partial knowledge of the eigenvalues and the corresponding eigenvectors of generalized first order control systems. We show that the number of eigenvalues and eigenvectors that need to remain unchanged will not be affected by feedback matrices. We prove the feedback matrix must be of real form. A numerical example is given to illustrate the proposed method.