AN ITERATIVE ALGORITHM FOR POLE-PLACEMENT BY OUTPUT-FEEDBACK

In this note, an iterative algorithm is proposed for solving the pole assignment by output feedback problem for an nth-order l-input m-outpu t linear system. The algorithm uses a full rank feedback gain matrix a nd requires only linear equations of low dimension to be solved at eac h iteration. Application of the proposed algorithm allows all n closed -loop poles to be almost exactly assigned provided that the iterations converge so that deviations of the resulting closed-loop poles from t he respective desired values become less than some user-specified tole rance, and m x l greater-than-or-equal-to n. Examples are provided in the note to illustrate the applicability of the proposed method.