Research approaches on pole assignment in specified region

An overview of assigning all poles of a closed-loop system in a specified region is presented. The basic methods on assigning all poles of a closed-loop system in a specified region are summarized in two cases: algebraic Riccati equation (ARE) approach and linear matrix inequality (LMI) approach. Brief works on control objectives with regional pole assignment, such as optimal control, robustness, H_2 performance, H_∞ performance, etc, are listed. Some research perspectives about this problem are given.