Circular Pole Assignment for Discrete-Time Singular Systems

The problem of circular pole assignment for discrete-time singular systems is considered. The goal of the problem is to assign the maximum number of finite eigenvalues in a prespecified circle and guarantee the closed-loop regularity. A simple, effective generalized Riccati equation approach is developed to solve the addressed problem. It is shown that a desired state feedback law is determined by using the solution of a standard discrete Riccati equation which can be computed directly.