An Iterative Algorithm for Pole Placement by Output Feedback

In this paper, an iterative algorithm is proposed for solving the pole assignment by output feedback problem for an n^th-order l-input m-output linear system. The algorithm uses a full rank feedback gain matrix and requires only linear equations of low dimension to be solved at each 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 the respective desired values become less than some user-specified tolerance, and m × l ¿ n.