Near-optimum regulator for discrete weakly coupled systems with prescribed degree of stability

Presents a new approach in the study of the linear-quadratic control problem of weakly coupled discrete systems with a prescribed degree of stability. All the poles of the resulting closed-loop system are constrained to lie inside a circle with the radius of 1/α, where α>1. A bilinear transformation is used so that the near-optimum controller design can be carried out in terms of a continuous time reduced-order problem. The method is very suitable for parallel programming. A numerical example demonstrates the efficiency of the proposed method