Performance survey of minimum gain exact pole placement methods

Problems of optimal pole placement for linear time invariant systems via state feedback have been studied for several decades. The minimum gain pole exact placement problem involves obtaining a feedback matrix that will assign a certain desired set of closed-loop poles, while also minimizing the gain (matrix norm) of the feedback matrix. Numerous methodologies have appeared in the literature to address the problem. In this paper, results from extensive experiments comparing the performance of a number of methods are reported. The runtime and accuracy of the pole placement achieved by each method are also compared. The results show some notable differences between the methods surveyed.