Abstract
In this paper, some considerations about improvement of transient characteristics of multi-input control systems are described. Those are done from the viewpoint of eigenvalues and eigenvectors assignments. In general, for multi-input systems, degrees of freedom remain in the feedback gain matrices after the eigenvalues have been assigned. Therefore, transient characteristics may be improved by making use of these degrees of freedom. In this paper, this improvement is realized.
First, the maximum or minimum peaks of the transient responses are approximately estimated by the use of the spectral decompositions of matrices. Next, the degrees of freedom which remain after the eigenvalues have been assigned are expressed as the variable parameters in the eigenvectors and the values of parameters which reduce the maximum or minimum peaks estimated above are determined. Finally, the effectiveness of the method mentioned above is shown by the simple examples.
