出力フィードバックによる極配置問題に対する連続変形法

抄録

A simple and efficient algorithm to obtain output feedback gain matrix by pole assignment is presented. This algorithm is based on the continuation method. In the continuation method the given problem is embedded into one parameter family of pole assignment problems and a path joining the initial known solution to the desired solution is traced. The original problem is reduced to the one of assigning the coefficients of the characteristic equation. The relations between the coefficients and the elements of the gain matrix are used fully to derive the homotopy function, from which simple path tracing algorithm is derived. The method requires neither computation of eigenfunctions nor eigen vectors of matrices, so that it is more efficient than the existing method based on continuation method. The efficiency of the algorithm is shown by several numerical examples.