Robust deadbeat pole assignment with gain constraints: an LMI optimization approach

Abstract This paper considers a kind of robust pole assignment problem for discrete‐time systems. A recently developed a posteriori measure of closed‐loop eigenvalue sensitivity suitable for MIMO deadbeat regulator design is minimized during the search of the state feedback gain. The problem is cast into an LMI‐based convex optimization task in which constraints on the size of feedback gain can be catered naturally. The proposed pole assignment algorithm can also be used to find the minimum feedback gain with respect to different norms. A numerical example is then employed to illustrate the effectiveness of the method. Copyright © 2000 John Wiley & Sons, Ltd.