Abstract
H∞ optimal control is one of the most successful achievements in the post modem control theory. In the H∞ optimal control, we design a controller that minimizes the H∞ norm of a given system. Although the algorithms to solve the problem have already been reported, they focus on numerical systems (systems without any unknown parameters) and, can not be applied for parametric systems (systems with unknown parameters). Given a parametric system, this paper presents an algorithm to compute the optimal H∞ norm of the system achieved by an output feedback controller. The optimal H∞ norm is expressed as 1/√φ(k), where φ(k), denotes a root of a bivariate polynomial. A numerical example is given to show the effectiveness of the algorithm.
