H∞ optimal control. Part 1. Model matching

Our aim is to develop a new approach for solving the H∞ optimal control problem where the feedback arrangement takes the form of a linear fractional transformation. In Part 1, a basic kind of model-matching problem is considered: given rational matrices M(s) and N(s), the H∞-norm of an error function defined as E(s) = M(s) - N(s)Q(s) is minimized (or bounded) subject to E(s) and Q(s) being stable. Closed-form state-space characterizations are obtained for both E(s) and Q(s). The results established here will be used in Part 2 of the paper Y. S. Hung 1989) to solve the H∞ optimal control problem.link_to_subscribed_fulltex